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Physics - Wave Optics Question with Solution | TestHub

PhysicsWave OpticsYDSEEasy2 minQB

PhysicsEasysingle choice

In Young's double-slit experiment, $12$ fringes are obtained on a certain segment of the screen when light of wavelength $600 nm$ is used. If the wavelength of light is changed to $400 nm$ , the number of fringes observed on the same segment of the screen is given by

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Answer:

Solution:

If on a certain segment of the screen, $n_{1}$ fringes of wavelength $λ_{1}$ are present and $n_{2}$ fringes of wavelength $λ_{2}$ are present, then

$n_{1} β_{1} = n_{2} β_{2}$

$\Rightarrow n_{1} λ_{1} = n_{2} λ_{2}$
$∴ n_{2} = \frac{n_{1} λ_{1}}{λ_{2}} = \frac{12 \times 600}{400} = 18$

Stream:JEESubject:PhysicsTopic:Wave OpticsSubtopic:YDSE

⏱ 2mℹ️ Source: QB

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