Questions · Page 2 of 6

MCQ

MCQ 511 Mark
The time period of rotation of the sun is $25$ days and its radius is $7 \times 10^8 m$. The Doppler shift for the light of wavelength $6000 \mathring A$ emitted from the surface of the sun will be
  • $0.04 \mathring A$
  • B
    $0.40 \mathring A$
  • C
    $4.00 \mathring A$
  • D
    $40.0 \mathring A$
Answer
Correct option: A.
$0.04 \mathring A$
$0.04 \mathring A$
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MCQ 521 Mark
The observed wavelength of light coming from a distant galaxy is found to be increased by $0.5 \%$ as compared with that coming from a terrestrial source. The galaxy is
  • A
    Stationary with respect to the earth
  • B
    Approaching the earth with velocity of light
  • C
    Receding from the earth with the velocity of light
  • Receding from the earth with a velocity equal to $1.5 \times 10^6 m / s$
Answer
Correct option: D.
Receding from the earth with a velocity equal to $1.5 \times 10^6 m / s$
$\frac{\Delta \lambda}{\lambda} =\frac{v}{c}, \text { Now } \Delta \lambda=\frac{0.5}{100} \lambda \Rightarrow \frac{\Delta \lambda}{\lambda}=\frac{0.5}{100}$
$\therefore v =\frac{0.5}{100} \times c=\frac{0.5}{100} \times 3 \times 10^8=1.5 \times 10^6 m / s $
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MCQ 531 Mark
Wave nature of light follows because
  • light rays travel in a straight line
  • B
    light exhibits the phenomena of reflection and refraction
  • C
    light exhibits the phenomenon of interference
  • D
    Light causes the phenomenon of photoelectric effect
Answer
Correct option: A.
light rays travel in a straight line
Interference is explained by wave nature of light.
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MCQ 541 Mark
Two identical light sources $S$ and $S$ emit light of same wavelength $\lambda$. These light rays will exhibit interference if
  • Their phase differences remain constant
  • B
    Their phases are distributed randomly
  • C
    Their light intensities remain constant
  • D
    Their light intensities change randomly
Answer
Correct option: A.
Their phase differences remain constant
For interference phase difference must be constant.
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MCQ 551 Mark
A star producing light of wavelength $6000 \mathring A$ moves away from the earth with a speed of $5 km / sec$. Due to Doppler effect the shift in wavelength will be $\left(c=3 \times 10^8 m / sec \right)$
  • $0.1 \mathring A$
  • B
    $0.05 \mathring A$
  • C
    $0.2 \mathring A$
  • D
    $1 \mathring A$
Answer
Correct option: A.
$0.1 \mathring A$
Doppler's shift is given by
$\Delta \lambda=\frac{v \lambda}{c}=\frac{5000 \times 6000}{3 \times 10^8}=0.1 \mathring A$
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MCQ 561 Mark
Doppler's effect in sound in addition to relative velocity between source and observer, also depends while source and observer or both are moving. Doppler effect in light depend only on the relative velocity of source and observer. The reason of this is
  • A
    Einstein mass - energy relation
  • Einstein theory of relativity
  • C
    Photoelectric effect
  • D
    None of these
Answer
Correct option: B.
Einstein theory of relativity
With reference to this theory the velocity of the observer is neglected w.r.t. the light velocity.
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MCQ 571 Mark
The periodic time of rotation of a certain star is $22$ days and its radius is $7 \times 10^*$ metres. If the wavelength of light emitted by its surface be $4320 \mathring A$, the Doppler shift will be $(1$ day $= 86400 \sec )$
  • $0.033 \mathring A$
  • B
    $0.33 \mathring A$
  • C
    $3.3 \mathring A$
  • D
    $33 \mathring A$
Answer
Correct option: A.
$0.033 \mathring A$
$0.033 \mathring A$
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MCQ 581 Mark
Intensities of the two waves of light are $l$ and $4 l$. The maximum intensity of the resultant wave after superposition is
  • A
    $5 l$
  • $9 l$
  • C
    $16 I$
  • D
    $25 l$
Answer
Correct option: B.
$9 l$
$ I_{\max }=I_1+I_2+2 \sqrt{I_1 I_2}$
So, $I_{\max }=I+4 I+2 \sqrt{I .4 I}=9 I$
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MCQ 591 Mark
In a wave, the path difference corresponding to a phase difference $\phi$ is
  • A
    $\frac{\pi}{2 \lambda} \phi$
  • B
    $\frac{\pi}{\lambda} \phi$
  • $\frac{\lambda}{2 \pi} \phi$
  • D
    $\frac{\lambda}{\pi} \phi$
Answer
Correct option: C.
$\frac{\lambda}{2 \pi} \phi$
For $2 \pi$ phase difference $\rightarrow$ Path difference is $\lambda$
$\therefore$ For $\phi$ phase difference $\rightarrow$ Path difference is $\frac{\lambda}{2 \pi} \times \phi$
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MCQ 601 Mark
The ratio of intensities of two waves is $9: 1$. They are producing interference. The ratio of maximum and minimum intensities will be
  • A
    $10: 8$
  • B
    $9: 1$
  • $4: 1$
  • D
    $2: 1$
Answer
Correct option: C.
$4: 1$
$\frac{I_{\max }}{I_{\min }} =\left(\frac{\sqrt{\frac{I_1}{I_2}}+1}{\sqrt{\frac{I_1}{I_2}}-1}\right)^2 =\left(\frac{\sqrt{\frac{9}{1}+1}}{\sqrt{\frac{9}{1}}-1}\right)$
$= \frac{4}{1}$
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MCQ 611 Mark
In the Young's double slit experiment, if the phase difference between the two waves interfering at a point is $\phi$, the intensity at that point can be expressed by the expressionWhere $A$ and $B$ depend upon the amplitudes of the two waves.
  • A
    (a) $I=\sqrt{A^2+B^2 \cos ^2 \phi}$
  • B
    (b) $I=\frac{A}{B} \cos \phi$
  • C
    (c) $I=A+B \cos \frac{\phi}{2}$
  • (d) $I=A+B \cos \phi$
Answer
Correct option: D.
(d) $I=A+B \cos \phi$
(d) Since $P$ is ahead of $Q$ by 90 and path difference between $P$ and $Q$ is $\lambda / 4$. Therefore at $A$, phase difference is zero, so intensity is 4l. At $C$ it is zero and at $B$, the phase difference is 90 , so intensity is $2 l$.
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MCQ 621 Mark
light coming from a star is observed to have a wavelength of $3737\mathring A$, while its real wavelength is $3700 \mathring A$. The speed of the star relative to the earth is [Speed of light $3 \times 10^8 m / s$ ]
  • A
    $3 \times 10^5 m / s$
  • $3 \times 10^6 m / s$
  • C
    $3.7 \times 10^7 m / s$
  • D
    $3.7 \times 10^6 m / s$
Answer
Correct option: B.
$3 \times 10^6 m / s$
$\Delta \lambda=\lambda \frac{v}{c} $
$\Rightarrow(3737-3700)=3700 \times \frac{v}{3 \times 10^8} $
$\Rightarrow v=3 \times 10^6 m / s$
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MCQ 631 Mark
A light source approaches the observer with velocity $0.8 c$. The doppler shift for the light of wavelength $5500 \mathring A$ is
  • A
    $4400 A$
  • B
    $1833 A$
  • $3167 \mathring A$
  • D
    $7333 \mathring A$
Answer
Correct option: C.
$3167 \mathring A$
According to Doppler's principle
$\lambda^{\prime}=\lambda \sqrt{\frac{1-v / c}{1+v / c}}$ for $v=c$
$\lambda^{\prime}=5500 \sqrt{\frac{(1-0.8)}{1+0.8}}=1833.3 $
$\therefore \text { Shift }=5500-1833.3=3167 \mathring A$
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MCQ 641 Mark
A star emitting light of wavelength $5896 \mathring A$ is moving away from the earth with a speed of $3600 km / sec$. The wavelength of light observed on earth will $\left(c=3 \times 10^8 m / sec\right.$ is the speed of light)
  • A
    Decrease by $5825.25 \mathring A$
  • B
    Increase by $5966.75 \mathring A$
  • C
    Decrease by $70.75 \mathring A$
  • Increase by $70.75 \mathring A$
Answer
Correct option: D.
Increase by $70.75 \mathring A$
$\Delta \lambda=\frac{v}{c} \lambda=\frac{3600 \times 10^3}{3 \times 10^8} \times 5896=70.75 \mathring A$
So the increased wavelength of light is observed.
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MCQ 651 Mark
Which of the following is conserved when light waves interfere
  • A
    Intensity
  • Energy
  • C
    Amplitude
  • D
    Momentum
Answer
Correct option: B.
Energy
Energy is conserved in the interference of light.
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MCQ 661 Mark
Plane polarised light is passed through a polaroid. On viewing through the polaroid we find that when the polariod is given one complete rotation about the direction of the light, one of the following is observed
  • A
    The intensity of light gradually decreases to zero and remains at zero
  • B
    The intensity of light gradually increases to a maximum and remains at maximum
  • C
    There is no change in intensity
  • The intensity of light is twice maximum and twice zero
Answer
Correct option: D.
The intensity of light is twice maximum and twice zero
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MCQ 671 Mark
For constructive interference to take place between two monochromatic light waves of wavelength $\lambda$, the path difference should be
  • A
    $(2 n-1) \frac{\lambda}{4}$
  • B
    $(2 n-1) \frac{\lambda}{2}$
  • $n \lambda$
  • D
    $(2 n+1) \frac{\lambda}{2}$
Answer
Correct option: C.
$n \lambda$
For constructive interference path difference is even multiple of$\frac{\lambda}{2} \text {. }$
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MCQ 681 Mark
Two coherent sources of light can be obtained by
  • A
    Two different lamps
  • B
    Two different lamps but of the same power
  • C
    Two different lamps of same power and having the same colour
  • None of the above
Answer
Correct option: D.
None of the above
The coherent source cannot be obtained from two different light sources.
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MCQ 691 Mark
Electromagnetic waves travel in a medium which has relative permeability $1.3$ and relative permittivity $2.14.$ Then the speed of the electromagnetic wave in the medium will be
  • A
    $13.6 \times 10^6 m / s$
  • B
    $1.8 \times 10^2 m / s$
  • C
    $3.6 \times 10^8 m / s$
  • $1.8 \times 10^8 m / s$
Answer
Correct option: D.
$1.8 \times 10^8 m / s$
$v=\frac{c}{\sqrt{\mu_r \varepsilon_r}}=\frac{3 \times 10^8}{\sqrt{1.3 \times 2.14}}=1.8 \times 10^8 m / sec$
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MCQ 701 Mark
Which of following can not be polarised
  • A
    Radio waves
  • B
    Ultraviolet rays
  • C
    Infrared rays
  • Ultrasonic waves
Answer
Correct option: D.
Ultrasonic waves
Ultrasonic waves are longitudinal waves.
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MCQ 711 Mark
When the angle of incidence on a material is $60^{\circ}$, the reflected light is completely polarized. The velocity of the refracted ray inside the material is (in $m s$ )
  • A
    $3 \times 10^8$
  • B
    $\left(\frac{3}{\sqrt{2}}\right) \times 10^8$
  • $\sqrt{3} \times 10^8$
  • D
    $0.5 \times 10^8$
Answer
Correct option: C.
$\sqrt{3} \times 10^8$
From Brewster's law $\mu=\tan i_p \Rightarrow \frac{c}{v}=\tan 60^{\circ}=\sqrt{3}$
$\Rightarrow v=\frac{c}{\sqrt{3}}=\frac{3 \times 10^8}{\sqrt{3}}=\sqrt{3} \times 10^8 m / sec .$
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MCQ 721 Mark
Which one of the following is not electromagnetic in nature
  • A
    $X$-rays
  • B
    Gamma rays
  • Cathode rays
  • D
    Infrared rays
Answer
Correct option: C.
Cathode rays
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MCQ 731 Mark
The speed of electromagnetic wave in vacuum depends upon the source of radiation
  • A
    (a) Increases as we move from $\gamma$-rays to radio waves
  • B
    (b) Decreases as we move from $\gamma$-rays to radio waves
  • (c) Is same for all of them
  • D
    (d) None of these
Answer
Correct option: C.
(c) Is same for all of them
(c) Speed of EM waves in vacuum $=\frac{1}{\sqrt{\mu_0 \in_0}}=$ constant
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MCQ 741 Mark
Electromagnetic radiation of highest frequency is
  • A
    Infrared radiations
  • B
    Visible radiation
  • C
    Radio waves
  • $\gamma$-rays
Answer
Correct option: D.
$\gamma$-rays
$v_{\gamma \text {-rays }}>v_{\text {visibleradiation }}>v_{\text {Infrared }}>v_{\text {Radio waves }}$
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MCQ 751 Mark
The ozone layer absorbs
  • A
    Infrared radiations
  • Ultraviolet radiations
  • C
    $X$-rays
  • D
    $\gamma$-rays
Answer
Correct option: B.
Ultraviolet radiations
Ozone layer absorbs most of the $U V$ rays emitted by sun.
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MCQ 761 Mark
Select the right option in the following
  • A
    Christian Huygens a contemporary of Newton established the wave theory of light by assuming that light waves were transverse
  • Maxwell provided the compelling theoretical evidence that light is transverse wave
  • C
    Thomas Young experimentally proved the wave behaviour of light and Huygens assumption
  • D
    All the statements give above, correctly answers the question "what is light"
Answer
Correct option: B.
Maxwell provided the compelling theoretical evidence that light is transverse wave
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MCQ 771 Mark
When unpolarised light beam is incident from air onto glass $(n=1.5)$ at the polarising angle
  • (a) Reflected beam is polarised 100 percent
  • B
    (b) Reflected and refracted beams are partially polarised
  • C
    (c) The reason for (a) is that almost all the light is reflected
  • D
    (d) All of the above
Answer
Correct option: A.
(a) Reflected beam is polarised 100 percent
(a) According to Brewster's law, when a beam of ordinary light (i.e. unpolarised) is reflected from a transparent medium (like glass), the reflected light is completely plane polarised at certain angle of incidence called the angle of polarisation.
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MCQ 781 Mark
Infrared radiation was discovered in $1800$ by
  • A
    William Wollaston
  • William Herschel
  • C
    Wilhelm Roentgen
  • D
    Thomas Young
Answer
Correct option: B.
William Herschel
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MCQ 791 Mark
The wave theory of light was given by
  • A
    Maxwell
  • B
    Planck
  • Huygen
  • D
    Young
Answer
Correct option: C.
Huygen
Wave theory of light is given by Huygen.
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MCQ 801 Mark
Specific rotation of sugar solution is $0.01 Sl$ units. $200 kgm ^{-3}$ of impure sugar solution is taken in a polarimeter tube of length $0.25 m$ and an optical rotation of $0.4 rad$ is observed. The percentage of purity of sugar is the sample is
  • A
    (a) $80 \%$
  • B
    (b) $89 \%$
  • C
    (c) $11 \%$
  • (d) $20 \%$
Answer
Correct option: D.
(d) $20 \%$
(d) If $l$ is the final intensity and $l$ is the initial intensity then$I=\frac{I_0}{2}\left(\cos ^2 30^{\circ}\right)^5 \text { or } \frac{I}{I_0}=\frac{1}{2} \times\left(\frac{\sqrt{3}}{2}\right)^{10}=0.12$
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MCQ 811 Mark
Huygen's principle of secondary wavelets may be used to
  • A
    Find the velocity of light in vacuum
  • B
    Explain the particle behaviour of light
  • Find the new position of the wavefront
  • D
    Explain photoelectric effect
Answer
Correct option: C.
Find the new position of the wavefront
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MCQ 821 Mark
Two waves have their amplitudes in the ratio $1: 9$. The maximum and minimum intensities when they interfere are in the ratio
  • $\frac{25}{16}$
  • B
    $\frac{16}{26}$
  • C
    $\frac{1}{9}$
  • D
    $\frac{9}{1}$
Answer
Correct option: A.
$\frac{25}{16}$
$\frac{I_{\max }}{I_{\min }}=\left(\frac{\frac{a_1}{a_2}+1}{\frac{a_1}{a_2}-1}\right)^2=\left(\frac{\frac{1}{9}+1}{\frac{1}{9}-1}\right)^2=\left(\frac{5}{4}\right)^2=\frac{25}{16}$.
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MCQ 831 Mark
$V_o$ and $V_E$ represent the velocities, $\mu_o$ and $\mu_E$ the refractive indices of ordinary and extraordinary rays for a doubly refracting crystal. Then
  • A
    (a) $V_o \geq V_E, \mu_o \leq \mu_E$ if the crystal is calcite
  • B
    (b) $V_o \leq V_E, \mu_o \leq \mu_E$ if the crystal is quartz
  • (c) $V_o \leq V_E, \mu_o \geq \mu_E$ if the crystal is calcite
  • D
    (d) $V_o \geq V_E, \mu_o \geq \mu_E$ if the crystal is quartz
Answer
Correct option: C.
(c) $V_o \leq V_E, \mu_o \geq \mu_E$ if the crystal is calcite
(c) In double refraction light rays always splits into two rays $(O$ ray \& $E$-ray). $O$-ray has same velocity in all direction but $E$-ray has different velocity in different direction.For calcite $\mu<\mu \Rightarrow v>v$For quartz $\mu>\mu \Rightarrow v>v$.
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MCQ 841 Mark
light passes successively through two polarimeters tubes each of length $0.29\ m$. The first tube contains dextro rotatory solution of concentration $60\ kgm$ and specific rotation $0.01\  rad\  mkg$. The second tube contains laevo rotatory solution of concentration $30\ kg / m$ and specific rotation $0.02\ radm\ kg$. The net rotation produced is
  • A
    $15^{\circ}$
  • $0^{\circ}$
  • C
    $20^{\circ}$
  • D
    $10^{\circ}$
Answer
Correct option: B.
$0^{\circ}$
Rotation produced $\theta=S / c$Net rotation produced $\theta=\theta-\theta=I(S c-S c)$
$=0.29 \times[0.01 \times 60-0.02 \times 30]=0^\circ$
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MCQ 851 Mark
Three observers $A, B$ and $C$ measure the speed of light coming from a source to be $v_A, v_B$ and $v_C$. The observer $A$ moves towards the source, the observer $C$ moves away from the source with the same speed. The observer $B$ stays stationary. the surrounding space is vacuum every where. Then
  • A
    $v_A>v_B>v_C$
  • B
    $v_A$
  • $v_A=v_B=v_C$
  • D
    $v_A =v_B > v_C$
Answer
Correct option: C.
$v_A=v_B=v_C$
$v_A=v_B=v_C$
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MCQ 861 Mark
When one of the slits of Young's experiment is covered with a transparent sheet of thickness $4.8 mm$, the central fringe shifts to a position originally occupied by the $30^*$ bright fringe. What should be the thickness of the sheet if the central fringe has to shift to the position occupied by $20^{\circ}$ bright fringe
  • (a) $3.8 mm$
  • B
    (b) $1.6 mm$
  • C
    (c) $7.6 mm$
  • D
    (d) $3.2 mm$
Answer
Correct option: A.
(a) $3.8 mm$
(a) According to given condition $(\mu-1) t=n \lambda$ for minimum $t, n=1$So, $(\mu-1) t_{\min }=\lambda$$t_{\min }=\frac{\lambda}{\mu-1}=\frac{\lambda}{1.5-1}=2 \lambda$
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MCQ 871 Mark
The electromagnetic waves travel with a velocity
  • A
    Equal to velocity of sound
  • Equal to velocity of light
  • C
    Less than velocity of light
  • D
    None of these
Answer
Correct option: B.
Equal to velocity of light
Velocity of EM waves $=\frac{1}{\sqrt{\mu_0 \in_0}} 3 \times 10^8 m / s =$ velocity of light
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MCQ 881 Mark
When light is incident on a doubly refracting crystal, two refracted rays-ordinary ray $(O$-ray) and extra ordinary ray $(E$-ray) are produced. Then
  • A
    Both $O$-ray and $E$-ray are polarised perpendicular to the plane of incidence
  • B
    Both $O$-ray and $E$-ray are polarised in the plane of incidence
  • C
    $E$-ray is polarised perpendicular to the plane of incidence and $O$-ray in the plane of incidence
  • $E$-ray is polarised in the plane of incidence and $O$-ray perpendicular to the plane of incidence
Answer
Correct option: D.
$E$-ray is polarised in the plane of incidence and $O$-ray perpendicular to the plane of incidence
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MCQ 891 Mark
A $20 cm$ length of a certain solution causes right-handed rotation of $38^{\circ}$. A $30 cm$ length of another solution causes left-handed rotation of $24^{\circ}$. The optical rotation caused by $30 cm$ length of a mixture of the above solutions in the volume ratio $1: 2$ is
  • (a) Left handed rotation of $14^{\circ}$
  • B
    (b) Right handed rotation of $14^{\circ}$
  • C
    (c) Left handed rotation of $3^{\circ}$
  • D
    (d) Right handed rotation of $3^{\circ}$
Answer
Correct option: A.
(a) Left handed rotation of $14^{\circ}$
(a) Using Matus law, $I=I_0 \cos ^2 \theta$As here polariser is rotating i.e all the values of $\theta$ are possible.$I_{a v}=\frac{1}{2 \pi} \int_0^{2 \pi} I d \theta=\frac{1}{2 \pi} \int_0^{2 \pi} I_0 \cos ^2 \theta d \theta$On integration we get $I_{a v}=\frac{I_0}{2}$where $I_0=\frac{\text { Energy }}{\text { Area } \times \text { Time }}=\frac{p}{A}=\frac{10^{-3}}{3 \times 10^{-4}}=\frac{10}{3} \frac{ Watt }{ m ^2$$\therefore I_{a v}=\frac{1}{2} \times \frac{10}{3}=\frac{5}{3} Watt$and Time period $T=\frac{2 \pi}{\omega}=\frac{2 \times 3.14}{31.4}=\frac{1}{5} sec$$\therefore$ Energy of light passing through the polariser per revolution$=I_{a v} \times \text { Area } \times T=\frac{5}{3} \times 3 \times 10^{-4} \times \frac{1}{5}=10^{-4} J .$
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MCQ 901 Mark
Radio waves and visible light in vacuum have
  • Same velocity but different wavelength
  • B
    Continuous emission spectrum
  • C
    Band absorption spectrum
  • D
    Line emission spectrum
Answer
Correct option: A.
Same velocity but different wavelength
In vacuum velocity of all EM waves are same but their wavelengths are different.
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MCQ 911 Mark
The dual nature of light is exhibited by
  • A
    Photoelectric effect
  • B
    Refraction and interference
  • C
    Diffraction and reflection
  • Diffraction and photoelectric effect
Answer
Correct option: D.
Diffraction and photoelectric effect
Diffraction shows the wave nature of light and photoelectric effect shows particle nature of light.
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MCQ 921 Mark
TV waves have a wavelength range of $1-10$ meter. Their frequency range in $MHz$ is
  • $30-300$
  • B
    $3-30$
  • C
    $300-3000$
  • D
    $3-3000$
Answer
Correct option: A.
$30-300$
$v=\frac{C}{\lambda}$
$ \Rightarrow v_1=\frac{3 \times 10^8}{1}=3 \times 10^8 Hz =300 MHz $
$\text { and } v_2=\frac{3 \times 10^8}{10}=3 \times 10^7 Hz =30 MHz$
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MCQ 931 Mark
The similarity between the sound waves and light waves is
  • A
    Both are electromagnetic waves
  • B
    Both are longitudinal waves
  • C
    Both have the same speed in a medium
  • They can produce interference
Answer
Correct option: D.
They can produce interference
Sound wave and light waves both shows interference.
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MCQ 941 Mark
thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown. The observed interference fringes from this combination shall be
Image
  • Straight
  • B
    Circular
  • C
    Equally spaced
  • D
    Having fringe spacing which increases as we go outwards
Answer
Correct option: A.
Straight
The cylindrical surface touches the glass plate along a line parallel to axis of cylinder. The thickness of wedge shaped film increases on both sides of this line. Locus of equal path difference are the lines running parallel to the axis of the cylinder. Hence straight fringes are obtained.
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MCQ 951 Mark
A beam of electron is used in an $\text{YDSE}$ experiment. The slit width is $d.$ When the velocity of electron is increased, then
  • A
    No interference is observed
  • B
    Fringe width increases
  • Fringe width decreases
  • D
    Fringe width remains same
Answer
Correct option: C.
Fringe width decreases
Fringe width decreases
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MCQ 961 Mark
In Young's double slit experiment intensity at a point is $(1 / 4)$ of the maximum intensity. Angular position of this point is
  • A
    $\sin (\lambda / d)$
  • B
    $\sin (\lambda / 2 d)$
  • $\sin (\lambda / 3 d)$
  • D
    $\sin (\lambda / 4 d)$
Answer
Correct option: C.
$\sin (\lambda / 3 d)$
$\sin (\lambda / 3 d)$
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MCQ 971 Mark
In a YDSE bi-chromatic light of wavelengths $400 nm$ and $560 nm$ are used. The distance between the slits is $0.1 mm$ and the distance between the plane of the slits and the screen is $1 m$. The minimum distance between two successive regions of complete darkness is
  • (a) $4 mm$
  • B
    (b) $5.6 mm$
  • C
    (c) $14 mm$
  • D
    (d) $28 mm$
Answer
Correct option: A.
(a) $4 mm$
(a)$\frac{\Delta \lambda}{\lambda}=\frac{v}{c}$
$ \Rightarrow \frac{(401.8-393.3)}{393.3}=\frac{v}{3 \times 10^8} $
$\Rightarrow v=6.48 \times 10 m / s $
$=6480 km / sec .$
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MCQ 981 Mark
In the ideal double-slit experiment, when a glass-plate (refractive index 1.5) of thickness $t$ is introduced in the path of one of the interfering beams (wavelength $\lambda$ ), the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass-plate is
  • (a) $2 \lambda$
  • B
    (b) $\frac{2 \lambda}{3}$
  • C
    (c) $\frac{\lambda}{3}$
  • D
    (d) $\lambda$
Answer
Correct option: A.
(a) $2 \lambda$
(a)$\Delta \lambda=\lambda \frac{v}{c} \text { and } v=r \omega$
$v=7 \times 10^8 \times \frac{2 \pi}{25 \times 24 \times 3600}, c=3 \times 10^8 m / s $
$\therefore \Delta \lambda=0.04 \mathring A$
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MCQ 991 Mark
Two beams of light having intensities $l$ and $4 l$ interfere to produce a fringe pattern on a screen. The phase difference between the beams is $\frac{\pi}{2}$ at point $A$ and $\pi$ at point $B$. Then the difference between the resultant intensities at $A$ and $B$ is
  • A
    $2I$
  • $4I$
  • C
    $5I$
  • D
    $7I$
Answer
Correct option: B.
$4I$
At point $A$, resultant intensity
$I_A=I_1+I_2=5 I ; \text { and at point } B $
$I_B=I_1+I_2+2 \sqrt{I_1 I_2} \cos \pi=5 I+4 I $
$I_B=9 I \text { so } I_B-I_A=4 I .$
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MCQ 1001 Mark
In Young's double slit experiment, the two slits act as coherent sources of equal amplitude $A$ and wavelength $\lambda$. In another experiment with the same set up the two slits are of equal amplitude $A$ and wavelength $\lambda$ but are incoherent. The ratio of the intensity of light at the mid$-$point of the screen in the first case to that in the second case is
  • A
    $1: 2$
  • $2: 1$
  • C
    $4: 1$
  • D
    $1: 1$
Answer
Correct option: B.
$2: 1$
$2: 1$
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