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MCQ

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MCQ 11 Mark
In Millikan's oil drop experiment, an oil drop of mass $16 \times 10^{-6} \mathrm{~kg}$ is balanced by an electric field of $10^6 \mathrm{~V} / \mathrm{m}$. The charge in coulomb on the drop, assuming $g=10 \mathrm{~m} / \mathrm{s}^2$ is
  • A
    $6.2 \times 10^{-11}$
  • B
    $16 \times 10^{-9}$
  • $16 \times 10^{-11}$
  • D
    $16 \times 10^{-13}$
Answer
Correct option: C.
$16 \times 10^{-11}$
$e E=m g \Rightarrow e=\frac{m g}{E}=\frac{16 \times 10^{-6} \times 10}{10^6}=16 \times 10^{-11} C$.
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MCQ 21 Mark
$\mathrm{X}$-rays are produced by accelerating electrons by voltage $V$ and let they strike a metal of atomic number $Z$. The highest frequency of Xrays produced is proportional to
  • A
    $V$
  • B
    $Z$
  • C
    $(Z-1)$
  • $(Z-1)^2$
Answer
Correct option: D.
$(Z-1)^2$
According to Mosley's law $v \propto(Z-b)^2$For $k_\alpha$ line, $b=1$, and it has maximum frequency so $v_{\max } \propto(Z-1)^2$
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MCQ 31 Mark
If the energy of the photon is increased by a factor of $4$ , then its momentum
  • A
    Does not change
  • B
    Decreases by a factor of $4$
  • Increases by a factor of $4$
  • D
    Decreases by a factor of $2$
Answer
Correct option: C.
Increases by a factor of $4$
Increases by a factor of $4$
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MCQ 41 Mark
The kinetic energy of an electron with de-Broglie wavelength of $0.3$ nanometer is
  • A
    $0.168 \mathrm{eV}$
  • $16.8 \mathrm{eV}$
  • C
    $1.68 \mathrm{eV}$
  • D
    $2.5 \mathrm{eV}$
Answer
Correct option: B.
$16.8 \mathrm{eV}$
$ \lambda=\frac{h}{\sqrt{2 m E}} \Rightarrow E=\frac{h^2}{2 m \lambda^2}$
$ =\frac{\left(6.6 \times 10^{-34}\right)^2}{2 \times 9.1 \times 10^{-31} \times \left(0.3 \times 10^{-9}\right)^2}=2.65 \times 10^{-18} \mathrm{~J} $
$ =16.8 \mathrm{eV}$
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MCQ 51 Mark
A photon and an electron have equal energy E. $\lambda_{\text {photon }} / \lambda_{\text {electron }}$ is proportional to
  • A
    $\sqrt{E}$
  • $1 / \sqrt{E}$
  • C
    $1 / E$
  • D
    Does not depend upon $E$
Answer
Correct option: B.
$1 / \sqrt{E}$
$\lambda_{\text {photon }}=\frac{h c}{E} \text { and } \lambda_{\text {proton }}=\frac{h}{\sqrt{2 m E}} $
$\Rightarrow \frac{\lambda_{\text {photon }}}{\lambda_{\text {electron }}}=c \sqrt{\frac{2 m}{E}} \Rightarrow \frac{\lambda_{\text {photon }}}{\lambda_{\text {electron }}} \propto \frac{1}{\sqrt{E}}$
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MCQ 61 Mark
Bragg's law for $X$-rays is
  • A
    $d \sin \theta=2 n \lambda$
  • $2 d \sin \theta=n \lambda$
  • C
    $n \sin \theta=2 \lambda d$
  • D
    None of these
Answer
Correct option: B.
$2 d \sin \theta=n \lambda$
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MCQ 71 Mark
The work function of a photoelectric material is $3.3 \mathrm{eV}$. The threshold frequency will be equal to
  • A
    $8 \times 10^4 \mathrm{~Hz}$
  • B
    $8 \times 10^{56} \mathrm{~Hz}$
  • C
    $8 \times 10^{10} \mathrm{~Hz}$
  • $8 \times 10^{14} \mathrm{~Hz}$
Answer
Correct option: D.
$8 \times 10^{14} \mathrm{~Hz}$
$v_0=\frac{W_0}{h}=\frac{3.3 \times 1.6 \times 10^{-19}}{6.6 \times 10^{-34}}=8 \times 10^{14} \mathrm{~Hz}$
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MCQ 81 Mark
Intensity of $X$-rays depends upon the number of
  • Electrons
  • B
    Protons
  • C
    Neutrons
  • D
    Positrons
Answer
Correct option: A.
Electrons
Intensity of $X$-rays depends upon the number of electron striking the target.
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MCQ 91 Mark
On increasing the number of electrons striking the anode of an $X$ ray tube, which one of the following parameters of the resulting $X$ rays would increase
  • A
    Penetration power
  • B
    Frequency
  • C
    Wavelength
  • Intensity
Answer
Correct option: D.
Intensity
Greater the number of electrons striking the anode, larger is the number of $X$-ray photons emitted.
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MCQ 101 Mark
Cathode rays and canal rays produced in a certain discharge tube are deflected in the same direction if
  • A magnetic field is applied normally
  • B
    An electric field is applied normally
  • C
    An electric field is applied tangentially
  • D
    A magnetic field is applied tangentially
Answer
Correct option: A.
A magnetic field is applied normally
In discharge tube cathode rays (a beam of negative particles) and canal rays (positive rays)moves opposite to each other.
They will experience a magnetic force in the same direction, if a normal magnetic field is switched on
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MCQ 111 Mark
An oxide coated filament is useful in vacuum tubes because essentially
  • A
    It has high melting point
  • B
    It can withstand high temperatures
  • C
    It has good machanical strength
  • It can emit electrons at relatively lower temperatures
Answer
Correct option: D.
It can emit electrons at relatively lower temperatures
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MCQ 121 Mark
Which one of the following devices makes use of the electrons to strike certain substances to produce fluorescence
  • A
    Thermionic valve
  • B
    Photoelectric cell
  • Cathode ray oscilloscope
  • D
    Electron gun
Answer
Correct option: C.
Cathode ray oscilloscope
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MCQ 131 Mark
Cathode rays are similar to visible light rays in that
  • A
    They both can be deflected by electric and magnetic fields
  • B
    They both have a definite magnitude of wavelength
  • C
    They both can ionise a gas through which they pass
  • They both can expose a photographic plate
Answer
Correct option: D.
They both can expose a photographic plate
Light consists of photons and cathode rays consists of electrons. However both effect the photographic plate.
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MCQ 141 Mark
The work function of a metal is
  • A
    The energy for the electron to enter into the metal
  • B
    The energy for producing X-ray
  • The energy for the electron to come out from metal surface
  • D
    None of these
Answer
Correct option: C.
The energy for the electron to come out from metal surface
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MCQ 151 Mark
The de-Broglie wavelength $\lambda$
  • A
    is proportional to mass
  • B
    is proportional to impulse
  • Inversely proportional to impulse
  • D
    does not depend on impulse
Answer
Correct option: C.
Inversely proportional to impulse
The De-Broglie wavelength is $\lambda=\frac{h}{|p|}=\frac{h}{|I|} \Rightarrow \lambda \propto \frac{1}{|I|}$
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MCQ 161 Mark
If the minimum wavelength obtained in an $\mathrm{X}$-ray tube is $2.5 \times 10^{-10} \mathrm{~m}$, the operating potential of the tube will be
  • A
    $2 \mathrm{kV}$
  • B
    $3 \mathrm{kV}$
  • C
    $4 \mathrm{kV}$
  • $5 \mathrm{kV}$
Answer
Correct option: D.
$5 \mathrm{kV}$
(d) $\lambda_{\min }=\frac{12375}{V} \mathring A $
$\Rightarrow V=\frac{12375}{2.5}=4950 \mathrm{~V} \simeq 5 \mathrm{kV}$.
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MCQ 171 Mark
If the voltage of X-ray tube is doubled, the intensity of X-rays will become
  • A
    Half
  • Unchanged
  • C
    Double
  • D
    Four times
Answer
Correct option: B.
Unchanged
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MCQ 181 Mark
If the operating potential of an X-ray tube is $50 \mathrm{kV}$, the velocity of $\mathrm{X}$-rays coming out of it is
  • A
    $4 \times 10^4 \mathrm{~m} / \mathrm{s}$
  • $3 \times 10^8 \mathrm{~m} / \mathrm{s}$
  • C
    $10^8 \mathrm{~m} / \mathrm{s}$
  • D
    $3 \mathrm{~m} / \mathrm{s}$
Answer
Correct option: B.
$3 \times 10^8 \mathrm{~m} / \mathrm{s}$
The velocity of X-rays is always equal to that of light.
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MCQ 191 Mark
If the threshold wavelength for sodium is $5420 A$, then the work function of sodium is
  • A
    $4.58 \mathrm{eV}$
  • $2.28 \mathrm{eV}$
  • C
    $1.14 \mathrm{eV}$
  • D
    $0.23 \mathrm{eV}$
Answer
Correct option: B.
$2.28 \mathrm{eV}$
$W_0=\frac{12375}{\lambda_0}=\frac{12375}{5420}=2.28 \mathrm{eV}$
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MCQ 201 Mark
The wavelength associated with an electron accelerated through a potential difference of $100\  V$ is nearly
  • A
    $100 \mathring A$
  • B
    $123 \mathring A$
  • $1.23 \mathring A$
  • D
    $0.123 \mathring A$
Answer
Correct option: C.
$1.23 \mathring A$
$ \lambda=\frac{h}{\sqrt{2 m Q V}}=\frac{6.6 \times 10^{-34}}{\sqrt{2 \times 9.1 \times 10^{-31} \times 1.6 \times 10^{-19} \times 100}}$
$=1.23 \mathring A$
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MCQ 211 Mark
According to de-Broglie, the de-Broglie wavelength for electron in an orbit of hydrogen atom is $10 \mathrm{~m}$. The principle quantum number for this electron is
  • A
    $1$
  • B
    $2$
  • $3$
  • D
    $4$
Answer
Correct option: C.
$3$
$2 \pi r n=\lambda \Rightarrow n=\frac{\lambda}{2 \pi r}=\frac{10^{-9}}{2 \times 3.14 \times 5.13 \times 10^{-11}}=3$
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MCQ 221 Mark
$\mathrm{O}^{++}, \mathrm{C}^{+}, \mathrm{He}^{++}$and $\mathrm{H}^{+}$ions are projected on the photographic plate with same velocity in a mass spectrograph. Which one will strike farthest
  • A
    $\mathrm{O}^{++}$
  • $C^{+}$
  • C
    $\mathrm{He}^{++}$
  • D
    $\mathrm{H}_2^{+}$
Answer
Correct option: B.
$C^{+}$
$2 r=\frac{2 m v}{q B} \Rightarrow 2 r \propto \frac{m}{q} \Rightarrow \frac{m}{q}$ is maximum for $C^{+}$
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MCQ 231 Mark
The wavelength of X-rays decreases, when
  • A
    Temperature of target is increased
  • B
    Intensity of electron beam is increased
  • K.E. of electrons striking the target is increased
  • D
    K.E. of electrons striking the target is decreased
Answer
Correct option: C.
K.E. of electrons striking the target is increased
$ \lambda_{\min }=\frac{h c}{e V \text { (energy) }}$; when $K E$ (or $e V$ ) increases, $\lambda$ decreases.
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MCQ 241 Mark
In vacuum an electron of energy $10 \mathrm{keV}$ hits tungsten target, then emitted radiation will be
  • A
    Cathode rays
  • X-rays
  • C
    Infrared rays
  • D
    Visible spectrum
Answer
Correct option: B.
X-rays
When a high energy electron incident on heavy metal, it produces X-rays.
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MCQ 251 Mark
Photon and electron are given same energy $\left(10^{-20} \mathrm{~J}\right)$. Wavelength associated with photon and electron are $\lambda_{P h}$ and $\lambda_{e l}$ then correct statement will be
  • $\lambda_{P h}>\lambda_{e l}$
  • B
    $\lambda_{P h}<\lambda_{e l}$
  • C
    $\lambda_{P h}=\lambda_{e l}$
  • D
    $\frac{\lambda_{e l}}{\lambda_{P h}}=C$
Answer
Correct option: A.
$\lambda_{P h}>\lambda_{e l}$
Wavelength of photon will be greater than that of electr because mass of photon is less than that of electr
$\Rightarrow \lambda_{\mathrm{ph}}>\lambda_e$
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MCQ 261 Mark
For moving ball of cricket, the correct statement about de-Broglie wavelength is
  • A
    It is not applicable for such big particle
  • $\frac{h}{\sqrt{2 m E}}$
  • C
    $\sqrt{\frac{h}{2 m E}}$
  • D
    $\frac{h}{2 m E}$
Answer
Correct option: B.
$\frac{h}{\sqrt{2 m E}}$
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MCQ 271 Mark
If work function of metal is $3\ \mathrm{eV}$ then threshold wavelength will be
  • $4125 \mathring A$
  • B
    $4000 \mathring A$
  • C
    $4500 \mathring A$
  • D
    $5000 \mathring A$
Answer
Correct option: A.
$4125 \mathring A$
$\lambda_0=\frac{12375}{W_0(\mathrm{eV})}=\frac{12375}{3}=4125 \mathring A$
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MCQ 281 Mark
In photoelectric effect if the intensity of light is doubled then maximum kinetic energy of photoelectrons will become
  • A
    Double
  • B
    Half
  • C
    Four time
  • No change
Answer
Correct option: D.
No change
$K_{\max }$ of photoelectrons doesn't depends upon intensity of incident light.
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MCQ 291 Mark
X-rays are produced in laboratory by
  • A
    Radiation
  • B
    Decomposition of the atom
  • Bombardment of high energy electron on heavy metal
  • D
    None of these
Answer
Correct option: C.
Bombardment of high energy electron on heavy metal
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MCQ 301 Mark
Positive rays was discovered by
  • J.J Thomson
  • B
    Goldstem
  • C
    W. Crookes
  • D
    Rutherford
Answer
Correct option: A.
J.J Thomson
Positive rays was discovered by J.J. Thomson.
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MCQ 311 Mark
Electric field and magnetic field in Thomson mass spectrograph are applied
  • A
    Simultaneously, perpendicular
  • B
    Perpendicular but not simultaneously
  • C
    Parallel but not simultaneously
  • Parallel simultaneously
Answer
Correct option: D.
Parallel simultaneously
In Thomson's mass spectrograph $\vec{E} \| \vec{B}$
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MCQ 321 Mark
In Bainbridge mass spectrograph a potential difference of $1000 \mathrm{~V}$ is applied between two plates distant $1 \mathrm{~cm}$ apart and magnetic field in $B=1 T$. The velocity of undeflected positive ions in $\mathrm{m} / \mathrm{s}$ from the velocity selector is
  • A
    $10^7 \mathrm{~m} / \mathrm{s}$
  • B
    $10^4 \mathrm{~m} / \mathrm{s}$
  • $10^5 \mathrm{~m} / \mathrm{s}$
  • D
    $10^2 \mathrm{~m} / \mathrm{s}$
Answer
Correct option: C.
$10^5 \mathrm{~m} / \mathrm{s}$
$ v=\frac{E}{B} ; \text { where } E=\frac{V}{d}=\frac{1000}{1 \times 10^{-2}}=10^5 \mathrm{~V} / \mathrm{m} $
$ \Rightarrow v=\frac{10^5}{1}=10^5 \mathrm{~m} / \mathrm{s} .$
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MCQ 331 Mark
Energy of a quanta of frequency $10^{15} \mathrm{~Hz}$ and $h=6.6 \times 10^{-34} \mathrm{~J}-\mathrm{sec}$ will be
  • $6.6 \times 10^{-19} \mathrm{~J}$
  • B
    $6.6 \times 10^{-12} \mathrm{~J}$
  • C
    $6.6 \times 10^{-49} \mathrm{~J}$
  • D
    $6.6 \times 10^{-41} \mathrm{~J}$
Answer
Correct option: A.
$6.6 \times 10^{-19} \mathrm{~J}$
$E=h v=6.6 \times 10^{-34} \times 10^{15}=6.6 \times 10^{-19} \mathrm{~J}$
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MCQ 341 Mark
Positive rays consists of
  • A
    Electrons
  • B
    Neutrons
  • Positive ions
  • D
    Electro magnetic waves
Answer
Correct option: C.
Positive ions
Positive rays consist of positive ions.
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MCQ 351 Mark
What determines the hardness of the $X$-rays obtained from the Coolige tube
  • A
    (a) Current in the filament
  • B
    (b) Pressure of air in the tube
  • C
    (c) Nature of target
  • (d) Potential difference between cathode and target
Answer
Correct option: D.
(d) Potential difference between cathode and target
(d) Hard $X$-rays are of higher energy and the energy of $X$-rays depends on the potential difference between the cathode and the target.
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MCQ 361 Mark
What is the de-Broglie wavelength of the $\alpha$-particle accelerated through a potential difference $V$
  • A
    $\frac{0.287}{\sqrt{V}} \mathring A$
  • B
    $\frac{12.27}{\sqrt{V}} \mathring A$
  • $\frac{0.101}{\sqrt{V}} \mathring A$
  • D
    $\frac{0.202}{\sqrt{V}} \mathring A$
Answer
Correct option: C.
$\frac{0.101}{\sqrt{V}} \mathring A$
$\lambda=\frac{h}{\sqrt{2 m E}}=\frac{h}{\sqrt{2 m_\alpha Q_\alpha V}}$
On putting $Q_\alpha=2 \times 1.6 \times 10^{-19} \mathrm{C}$
$m_\alpha=4 m_p=4 \times 1.67 \times 10^{-27} \mathrm{~kg}$
$ \Rightarrow \lambda=\frac{0.101}{\sqrt{V}} \mathring A$
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MCQ 371 Mark
The radius of the orbital of electron in the hydrogen atom $0.5 \mathring A$. The speed of the electron is $2 \times 10^6 \mathrm{~m} / \mathrm{s}$. Then the current in the loop due to the motion of the electron is
  • $1 \mathrm{~mA}$
  • B
    $1.5 \mathrm{~mA}$
  • C
    $2.5 \mathrm{~mA}$
  • D
    $1.5 \times 10^{-2} \mathrm{~mA}$
Answer
Correct option: A.
$1 \mathrm{~mA}$
Time period of revolution of electron $T=\frac{2 \pi}{\omega}=\frac{2 \pi r}{v}$
Hence corresponding electric current $i=\frac{e}{T}=\frac{e v}{2 \pi r}$
$\Rightarrow i=\frac{1.6 \times 10^{-19} \times 2 \times 10^6}{2 \times 3.14 \times 0.5 \times 10^{-10}}=1 \mathrm{~mA}.$
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MCQ 381 Mark
In X-ray spectrum wavelength $\lambda$ of line $K_\alpha$ depends on atomic number $Z$ as
  • A
    $\lambda \propto Z^2$
  • B
    $\lambda \propto(Z-1)^2$
  • C
    $\lambda \propto \frac{1}{(Z-1)}$
  • $\lambda \propto \frac{1}{(Z-1)^2}$
Answer
Correct option: D.
$\lambda \propto \frac{1}{(Z-1)^2}$
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MCQ 391 Mark
If the potential difference applied across $X$-ray tube is $V$ volts, then approximately minimum wavelength of the emitted $X$-rays will be
  • A
    $\frac{1227}{\sqrt{V}} A$
  • B
    $\frac{1240}{V} A$
  • C
    $\frac{2400}{V} A$
  • $\frac{12400}{V} A$
Answer
Correct option: D.
$\frac{12400}{V} A$
$\lambda_{\min }=\frac{h c}{e V}=\frac{6.6 \times^{-34} \times 3 \times 10^8}{1.6 \times 10^{-19} V}=\frac{12375}{V} \approx \frac{12400}{V} A$
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MCQ 401 Mark
Absorption of X-ray is maximum in which of the following different sheets
  • A
    Copper
  • B
    Gold
  • C
    Beryllium
  • Lead
Answer
Correct option: D.
Lead
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MCQ 411 Mark
In Thomson's experiment if the value of $q / m$ is the same for all positive ions striking the photographic plate, then the trace would be
  • A
    Straight line
  • Parabolic
  • C
    Circular
  • D
    Elliptical
Answer
Correct option: B.
Parabolic
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MCQ 421 Mark
The frequency and work function of an incident photon are $v$ and $\phi_0$. If $v$ is the threshold frequency then necessary condition for the emission of photo electron is
  • A
    $v_1$
  • B
    $v=\frac{v_0}{2}$
  • $v \geq v_0$
  • D
    None of these
Answer
Correct option: C.
$v \geq v_0$
$v \geq v_0$
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MCQ 431 Mark
The de-Broglie wavelength is proportional to
  • A
    $\lambda \propto \frac{1}{v}$
  • B
    $\lambda \propto \frac{1}{m}$
  • $\lambda \propto \frac{1}{p}$
  • D
    $\lambda \propto p$
Answer
Correct option: C.
$\lambda \propto \frac{1}{p}$
$\lambda=\frac{h}{p} \Rightarrow \lambda \propto \frac{1}{p}$
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MCQ 441 Mark
Davission and Germer experiment proved
  • A
    Wave nature of light
  • B
    Particle nature of light
  • C
    Both (a) and (b)
  • Neither (a) nor (b)
Answer
Correct option: D.
Neither (a) nor (b)
Davission and Germer proved the wave nature of electron by performing an experiment.
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MCQ 451 Mark
If energy of $K$-shell electron is $-40000 \mathrm{eV}$ and if $60000 \mathrm{~V}$ potential is applied at coolidge tube then which of the following $X$ ray will get form
  • A
    (a) Continuous
  • B
    (b) White $X$-rays
  • (c) Continuous and all series of characteristic
  • D
    (d) None of these
Answer
Correct option: C.
(c) Continuous and all series of characteristic
(c) When applied voltage is greater then energy of $K$-electron, continuous and all characterstic $X$-rays are emitted.
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MCQ 461 Mark
If intensity of incident light is increased in PEE then which of the following is true
  • A
    Maximum K.E. of ejected electron will increase
  • Work function will remain unchanged
  • C
    Stopping potential will decrease
  • D
    Maximum K.E. of ejected electron will decrease
Answer
Correct option: B.
Work function will remain unchanged
With the increase in intensity of light photoelectric current increases, but Kinetic energy of ejected electron, stopping potential and work function remains unchanged.
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MCQ 471 Mark
If threshold wavelength for sodium is $6800 \mathring A$ then the work function will be
  • $1.8 \mathrm{eV}$
  • B
    $2.5 \mathrm{eV}$
  • C
    $2.1 \mathrm{eV}$
  • D
    $1.4 \mathrm{eV}$
Answer
Correct option: A.
$1.8 \mathrm{eV}$
$W_0=\frac{12375}{6800}=1.8 \mathrm{eV}$
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MCQ 481 Mark
Which of the following is true for photon
  • $E=\frac{h c}{\lambda}$
  • B
    $E=\frac{1}{2} m u^2$
  • C
    $p=\frac{E}{2 v}$
  • D
    $E=\frac{1}{2} m c^2$
Answer
Correct option: A.
$E=\frac{h c}{\lambda}$
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MCQ 491 Mark
Quantam nature of light is explained by which of the following phenomenon
  • A
    Huygen wave theory
  • Photoelectric effect
  • C
    Maxwell electromagnetic theory
  • D
    de-Broglie theory
Answer
Correct option: B.
Photoelectric effect
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MCQ 501 Mark
When wavelength of incident photon is decreased then
  • A
    Velocity of emitted photo-electron decreases
  • Velocity of emitted photoelectron increases
  • C
    Velocity of photoelectron do not charge
  • D
    Photo electric current increases
Answer
Correct option: B.
Velocity of emitted photoelectron increases
With decrease in wavelength of incident photons, energy of photoelectrons increases.
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