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Physics Wave Optics

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Physics Wave Optics Class 12th

In a Young's double slit experiment, the width of the one of the slit is three times the other slit. The amplitude of the light coming from a slit is proportional to the slit-width. Find the ratio of the maximum to the minimum intensity in the interference pattern.

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alok kumar singh

Contributor-Level 10

Amplitude is proportional to the slit – width, thus,

$\frac{A_{1}}{A_{2}} = 3$

$\frac{l_{m a x}}{l_{m i n}} = \frac{{(A_{1} + A_{2})}^{2}}{{(A_{1} - A_{2})}^{2}} = \frac{{(\frac{A_{1}}{A_{2}} + 1)}^{2}}{{(\frac{A_{1}}{A_{2}} - 1)}^{2}} = \frac{{(3 + 1)}^{2}}{{(3 - 1)}^{2}} = 4 .$

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3 months ago

Physics Wave Optics Class 12th

An unpolarized light beam is incident on the polarizes of a polarization experiment and the intensity of light beam emerging from the analyzer is measured as 100 Lumens. Now, if the analyzer is rotated around the horizontal axis (direction of light) by 30° in clockwise direction, the intensity of emerging light will be________ Lumens.

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alok kumar singh

Contributor-Level 10

$l = l_{0} c o s^{2} θ = 100 * c o s^{2} (30 °) = 75 L u m e n s$

Note : As the incident light is unpolarized, intensity of emerging light does not depend on the polarization axis of polarizer.

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3 months ago

Physics Wave Optics Class 12th

In a Young's double slit experiment two slits are separated by 2mm and the screen is placed one meter away. When a light of wavelength 500nm used, the fringe separation will be

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Payal Gupta

Contributor-Level 10

$β = \frac{λ D}{d} = \frac{500 * 1 0^{- 9} * 1}{2 * 1 0^{- 3}} = 250 * 1 0^{- 6} m = 250 * 1 0^{- 3} m m = 0.25 m m$

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3 months ago

Physics Wave Optics Class 12th

If the source of light used in a Young's double slit experiment is changed from red to violet:

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Vishal Baghel

Contributor-Level 10

$λ_{R e d} > λ_{v i o l e t}$

$β = \frac{λ D}{d} \Rightarrow$ Fringe width

If the source of light used in a Young's double slit experiment is changed from red to violet : consecutive fringe lines will come closer.

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3 months ago

Physics Wave Optics Class 12th

Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio $\frac{I_{m a x} - I_{m i n}}{I_{m a x} + I_{m i n}}$ will be:

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Vishal Baghel

Contributor-Level 10

$\frac{l_{m a x}}{l_{m i n}} = \frac{{(\sqrt[]{\frac{l_{1}}{l_{2}}} + 1)}^{2}}{{(\sqrt[]{\frac{l_{1}}{l_{2}}} - 1)}^{2}} \Rightarrow \frac{l_{m a x} - l_{m i n}}{l_{m a x} + l_{m i n}} = \frac{2 . \sqrt[]{\frac{l_{1}}{l_{2}}}}{\frac{l_{1}}{l_{2}} + 1} = \frac{2 \sqrt[]{2 x}}{2 x + 1}$

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3 months ago

Physics Wave Optics Class 12th

Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter $0.1 μ m .$ If the diameter of the pinhole is slightly increased, it will affect the diffraction pattern such that

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Payal Gupta

Contributor-Level 10

Using diffraction formula of circular hole :

$r α \frac{1}{D}$

size will decease.

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3 months ago

Physics Wave Optics Class 12th

If the monochromatic source in Young's double slit experiment is replaced by white light, then

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alok kumar singh

Contributor-Level 10

At central point on screen, path difference is zero for all wavelength. So, central bright fringe is white and other fringes depend on wavelength as $β = \frac{λ D}{d}$ .

Therefore, other fringes will be coloured.

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3 months ago

Physics Wave Optics Class 12th

A thin flat circular disc of radius 4.5 cm is placed gently over the surface of water. If surface tension of water is $0.07 N m^{- 1}$ , then the excess force required to take it away from the surface is

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alok kumar singh

Contributor-Level 10

Excess force $= T * 2 π R$

$= \frac{7}{100} * 2 * 3.14 * \frac{4.5}{100}$

$= 197.82 * 1 0^{- 4}$

$= 19.8 * 1 0^{- 3} N$

$= 19.8 mN$

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3 months ago

Physics Wave Optics Class 12th

The width of one of the two slits in a Young's double slit experiment is three times the other slit. If the amplitude of light coming from a slit is proportional to the slit-width, the ratio of minimum to maximum intensity in the interference pattern is x : 4 where x is_______.

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alok kumar singh

Contributor-Level 10

Amp. a slit with

Intensity a (Amp)² a (slit width)²

$\frac{l_{1}}{l_{2}} = {(\frac{3}{1})}^{2} = \frac{9}{1} \Rightarrow l_{1} = 9 I_{2}$

$\frac{l_{m i n}}{l_{m a x}} = \frac{{(\sqrt[]{l_{1}} - \sqrt[]{l_{2}})}^{2}}{{(\sqrt[]{l_{1}} + \sqrt[]{l_{2}})}^{2}} = \frac{{(3 - 1)}^{2}}{{(3 + 1)}^{2}}$

$\Rightarrow \frac{1}{4} = \frac{x}{4}$

x = 1.00

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3 months ago

Physics Wave Optics Class 12th

When a car is approaching the observer, the frequency of horn is 100Hz. After passing the observer, it is 50 Hz. If the observer moves with the car, the frequency will be $\frac{x}{3}$ Ha where x = _________.

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Payal Gupta

Contributor-Level 10

$f_{1} = 100 = f o (\frac{C}{C - V_{S}})$

C = Speed of sound

Vs = Speed of source

f2 = 50 = fo = $(\frac{C}{C + V_{s}})$

$\frac{f_{1}}{f_{2}} = 2 = \frac{C + V_{S}}{C - V_{S}}$

$f o = \frac{200}{3} = \frac{x}{3}$

x = 200

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