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Question 12 Marks
Monochromatic light entering from one medium to another, its wavelength changes but the frequency does not change, explain.
Answer
When monochromatic light enters from one medium to another then the velocity $v$ of light changes. Since the source producing the wave remains the same, its frequency $v$ does not change. Therefore, the wavelength $\lambda$ changes on the basis of the formula $\lambda= v / v$.
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Question 22 Marks
What does the red shift in the spectrum of a galaxy indicate?
Answer
The red shift in the spectrum of the galaxy indicates that the apparent wavelength is increasing, according to the Doppler effect. This is because the galaxy is moving away from the Earth. That means the universe is expanding.
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Question 32 Marks
Write the importance of Huygens principle. What are the two assumptions of this theory?
Answer
The importance of Huygens principle is to determine the geometric structure and position of the wavefront from a given position at a later time.
Assumptions : (i) On a given wavefront, which is called the initial wavefront, every point is a source of secondary waves and propagates the disturbance of the original light source in the same way with the same speed in all possible directions.
(ii) The new position of the wave front at any time is obtained by drawing tangents to the secondary wavefronts at that time.
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Question 42 Marks
Two identical phase connected waves, each of intensity $I _0$, are producing interference patterns. Write the value of the resultant intensity at the places of (i) constructive interference, (ii) destructive interference
Answer
$I = I _1+ I _2+2 \sqrt{ I _1 I _2} \cos \phi$
Here, $\quad I _1= I _2= I _0$
(i) At constructive interference,
$\phi=2 n \pi \quad$ (where $n=0,1,2, \ldots$ )
So $\quad \cos \phi=1$
$\therefore \quad I = I _0+ I _0+2 \sqrt{ I _0 I _0}$
$= I _0+ I _0+2 I _0=4 I _0$
(ii) For destructive interference
$\phi=(2 n-1) \pi \quad($ Where $n=1,2, \ldots)$
Thus, $\quad \cos \phi=-I$
$\therefore \quad I = I _0+ I _0+2 \sqrt{ I _0 I _0}(-1)$
$=2 I _0-2 I _0=0$ (Zero)
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Question 52 Marks
Explain the structure of Polaroid.
Answer
Structure of Polaroid : To produces plane polarized light polaroid is a cheap business trick. It is a film made through a special process which is placed between two glass plates. To make this film, very fine sized crystals of an organic compound harpethite or quinine iodosulphate are spread on a thin sheet of nitrocellulose in such a way that the axes of all the crystals are along the axis. These microscopic crystals are high order dichromates which completely absorb one of the bi-refracted rays.
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Question 62 Marks
What is the reason, why the diameter of the objective of a telescope should be large for a good resolution?
Answer
We know that $\quad \Delta \theta \approx 0.61 N / a$
It is clear from this that if the diameter of the mirror is larger, $\Delta \theta$ will be smaller. This shows that if the value of $a$ is greater then the resolving power of the telescope will be greater. This is why the diameter of the objective of the telescope should be large for good resolution.
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Question 72 Marks
Why cannot longitudinal waves be polarized?
Answer
In longitudinal waves, the direction of oscillation of the particle is in the direction of the wave's travel in the medium, hence compression and rarefaction will pass through the slit in the travel of light waves.
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Question 82 Marks
Due to diffraction effects, the beam of ray gets focused as a spot of radius of approximately what value?
Answer
The radius of $r_0=1.22 \lambda f f / 2 a=0.61 \lambda f / a$ It gets focused as $a$ spot of radius. Where $f$ is the focal length of the lens and $2 a$ is the diameter of the circular aperture or the length of the lens. Whatever is less in diameter, that is it.
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Question 92 Marks
Can fringes of white light be formed in interference or not? If yes, under what circumstances?
Answer
Yes, if white light is used instead of monochromatic light in the double prism or Young's double slit experiment, then the central fringes will be white and the remaining fringes will be colored.
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Question 102 Marks
What is meant by polarization of light?
Answer
This phenomenon related to light in which the vibrations of the electric vector of light are limited to one direction rather than in all possible directions in the plane perpendicular to the direction of wave propagation, is called polarization of light and light polarized light.
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Question 112 Marks
The phenomenon of diffraction is commonly seen in sound waves. But generally not in light waves, why?
Answer
Generally, the size of the obstacle and apertures is of the order of the wavelength of sound waves, not of the order of the wavelength of light waves, hence diffraction of sound can usually be seen. But not of light waves. For diffraction of light, other arrangements have to be made in which the barrier or line aperture or shape is taken to be of the order of its wavelength.
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Question 122 Marks
What happens to the energy of light waves in interference?
Answer
There is no destruction of energy in interference. Only redistribution of energy is takes place. The energy decreases at the places of destructive interference and the energy increases at the places of constructive interference.
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Question 132 Marks
Explain the first law of reflection of light.
Answer
According to Huygens' principle, reflection of light has been explained in this way :
Angle of incidence $\angle i=$ Angle of reflection $\angle r$. In this, the incident wave front, reflected wave front and normal all three lie in the same plane.
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Question 142 Marks
What is the coherent source?
Answer
Those two sources which emit waves of same frequency or same wavelength and the phase difference between them remains constant with time, are called coherent source.
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Question 152 Marks
Write the definition of wave front.
Answer
"In any medium in which a wave is propagating, if we draw a surface on which all the particles located are in the same phase of vibration, then such surface is called 'wave front'." The wave front of a wave in a homogeneous medium is always perpendicular to the direction of wave propagation.
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Question 162 Marks
In Young's double-slit experiment using monochromatic light of wavelength 2, the intensity of light at a point on the screen where path difference is λ, is K units. What is the intensity of light at a point where path difference is λ/3?
Answer
Let $I_1=I_2=I_0$. If $\phi$ is phase difference between the two light waves, then resultant intensity,
$I _{ R }= I _1+ I _2+2 \sqrt{ I _1 I _2} \cos \theta$
When path difference $=\lambda$, phase diff. $\phi=0^{\circ}$
$\therefore I _{ R }= I + I +2 \sqrt{ II } \cos 0^{\circ}=4 I = K$
When path difference $\frac{\lambda}{3}$, phase diff. $\phi=\frac{2 \pi}{3} rad$.
$\therefore I _{ R }^{\prime}= I + I +2 \sqrt{ II } \cos \frac{2 \pi}{3}$
$I _{ R }^{\prime}=2 I +2 I \left(-\frac{1}{2}\right)=\frac{ K }{4}$
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Question 172 Marks
(a) The refractive index of glass is 1.5. What is the speed of light in glass? (Speed of light in vacuum is $\left.3 \times 10^8 ms^{-1}\right)$.
(b) Is the speed of light in glass independent of colour of light? If not, which of the two colours, red and violet travels slower in a glass prism?
Answer
(a) Here, $\mu=1.5, v=$ ?, $c=3 \times 10^8 ms^{-1}$
As \[\mu=\frac{c}{v}\]
$v=\frac{c}{\mu}=\frac{3 \times 10^8}{1.5}=2 \times 10^8 ms^{-1}$
(b) No, the refractive index and the speed of light in a medium depend on wavelength i.e. colour of light.
We know that $\mu_v>\mu_r$. Therefore, $\nu_{\text {violet }}<\nu_{\text {red }}$. Hence violet component of white light travels than the red component.
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2 Marks Questions - Physics STD 12 Science Questions - Vidyadip