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92 fringes are obtained in the definite ...

92 fringes are obtained in the definite distance R on screen by Young's double slit experiment using sodium light of `(lambda = 5898Å)`.
If `(lambda=5461Å)` is used, how many fringes will be obtained in the same distance ?

A

62

B

67

C

85

D

99

Text Solution

Verified by Experts

The correct Answer is:
D
On a given screen width `nbeta=` car tan, Here n is number of fringes and `beta=(lamdad)/(D)` is the fringe width
`n_(1)beta_(1)=n_(2)beta_(2)impliesn_(2)lamda_(1)=n_(2)lamda_(2)`
`impliesn_(2)=(n_(1)lamda_(1))/(lamda_(2))=(92xx5898)/(5461)=99.360`
Number of fringes are integers so `n_(2)=99`
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ALLEN -WAVE OPTICS-Exercise 1 (Check your Grasp)
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  7. In the Young's double slit experiment the central maxima is observed t...

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  8. As shown in the right figure, a point light source is placed at distan...

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  9. If one of the two slits of Young's double-slit experiment is painted s...

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  10. InYDSE,how many maxima can be obtained on the screen if wavelength of ...

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  11. In YDSE, the source placed symmetrically with respect to the slit is n...

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  12. A light wave travels through three transparent materials of equal thic...

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  13. In YDSE if a slab whose refractive index can be varied is placed in fr...

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  14. In a double slit experiment, instead of taking slits of equal widths, ...

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  15. A ray of light is incident on a thin film, As shown in figure, M and N...

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  16. Let S(1) and S(2) be the two slits in Young's double-slit experiment. ...

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  17. When light is refracted into a medium

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  18. Two point source separated by d=5mum emit light of wavelength lamda=2m...

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  19. Two coherent narrow slits emitting light of wavelength lamda in the sa...

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  20. Minimum thickness of a mica sheet having mu=(3)/(2) which should be pl...

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