Tag: explaining wave phenomena

Questions Related to explaining wave phenomena

Monochromatic green light of wavelength $5x{ 10 }^{ -7 }$ m illuminates a pair of slits 1 mm apart. The separation of bright lines on the interference pattern formed on a screen 2m away is 

  1. 0.25 mm

  2. 0.1 mm

  3. 1.0 mm

  4. 0.01 MM


Correct Option: C

Each of the four pairs of light waves arrives at a certain point on a screen. The waves have the same wavelength. At the arrival point, their amplitudes and phase differences are :
$2 \mathrm { a } _ { 0 } , 6 \mathrm { a } _ { 0 } $ and $\pi$ rad
$3 \mathrm { a } _ { 0 } , 5 \mathrm { a } _ { 0 } $ and $\pi$ rad
$9 \mathrm { a } _ { 0 } , 7 \mathrm { a } _ { 0 } $ and $3\pi$ rad
$2 \mathrm { a } _ { 0 } , 2\mathrm { a } _ { 0 } $ and $0$
The pair/s which has greatest intensity is /are :

  1. $I$

  2. $II$

  3. $II, III$

  4. $I, IV$


Correct Option: D

In Young's double slit. experiment, distance between two sources is 0.1 mm. The distance of screen from the sources is 20 cm. Wavelength of light used is 5460 k Then angular position of first dark fringe is 

  1. $0.20 ^ { \circ }$

  2. $0.32 ^ { \circ }$

  3. $0.08 ^ { \circ }$

  4. $0.16 ^ { \circ }$


Correct Option: D

The waves of $600 \mu m$ wave length are incident normally on a slit of $1.2\ mm$ width. The value of diffraction angle corresponding to the first minima will be (in radian):

  1. $\dfrac{\pi}{2}$

  2. $\dfrac{\pi}{6}$

  3. $\dfrac{\pi}{5}$

  4. $\dfrac{\pi}{4}$


Correct Option: B
Explanation:

Given,

$\lambda=600\mu m$
$d=1.2mm$
condition for minima 
$dsin\theta=m\lambda$
for $m=1$
$sin\theta=\dfrac{m\lambda}{d}=\dfrac{\lambda}{d}$

$sin\theta=\dfrac{600\times 10^{-6}}{1.2\times 10^{-3}}=0.5$

$\theta=sin^{-1}(0.5)=\dfrac{\pi}{6}$
The correct option is B.

In the case of interference, The maximum and minimum intensities are in the ratio $16:9$. Then

  1. The maximum and minimum amplitude will be in the ratio 9:5

  2. The intensities of the individual waves will be in the ratio 4:3.

  3. The amplitudes of the individual waves will be in the ratio 4:1

  4. None of the above is true


Correct Option: C

In young's double slits experiments , the distance between the slits is 1 mm and that between slit and screen is 1 meter and 10th fringe is 5 mm away from the central bright fringe, then wavelength of light used will be

  1. $ 8000 A^0 $

  2. $ 7000 A^0 $

  3. $ 6000 A^0 $

  4. $ 5000 A^0 $


Correct Option: A

Using monochromatic light of wavelength $\lambda $  an experimentalist sets up the Young's double sit experiment in three ways as shown, If the observes they $y=\beta $  the wavelenght of light used is 

  1. 520 nm

  2. 540 nm

  3. 560 nm

  4. 580 nm


Correct Option: A

In young's double slit experiment, when two light waves form third minimum intensity, they have 

  1. phase difference of 3$\pi$

  2. phase difference of $\dfrac { 5 \pi } { 2 }$

  3. path difference of 3$\lambda$

  4. path difference of $\dfrac { 5 \lambda } { 2 }$


Correct Option: B

For constructive interference to take place between two monochromatic light waves of wavelength $  \lambda  $ , the path difference should be

  1. $
    (2 n-1) \frac{\lambda}{4}
    $

  2. $
    (2 n-1) \frac{\lambda}{2}
    $

  3. $
    n \lambda
    $

  4. $
    (2 n+1) \frac{\lambda}{4}
    $


Correct Option: C

A young double slit experiment uses a monochromatic source The shape of the interference fringes formed on a screen is

  1. circle

  2. hyperbola

  3. parabola

  4. straight line


Correct Option: D