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Physics - Wave Optics Question with Solution | TestHub

PhysicsWave OpticsYDSEEasy2 minQB

PhysicsEasysingle choice

In two setups of Young's double-slit experiment, if lights used have the ratio of wavelengths as $1 : 2$ , then fringes of equal width are observed. If the ratio of slit separation is $2 : 1$ then the ratio of the distances between slit and screen $(D_{1} : D_{2})$ will be

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Answer:

Solution:

As $β = \frac{λ D}{d}$

For equal fringe widths

$\frac{λ_{1} D_{1}}{d_{1}} = \frac{λ_{2} D_{2}}{d_{2}}$

Or $\frac{D_{1}}{D_{2}} = \frac{d_{1}}{d_{2}} \times \frac{λ_{2}}{λ_{1}} = \frac{2}{1} \times \frac{2}{1} = 4$

$∴ \frac{D_{1}}{D_{2}} = \frac{4}{1}$

Stream:JEESubject:PhysicsTopic:Wave OpticsSubtopic:YDSE

⏱ 2mℹ️ Source: QB

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