MCQ
Four light waves are represented by
  • A
    (i) $y=a \sin \omega t$
  • B
    (ii) $y=a_2 \sin (\omega t+\phi)$
  • (iii) $y=a_1 \sin 2 \omega t$
  • D
    (iv) $y=a_2 \sin 2(\omega t+\phi)$

Answer

Correct option: C.
(iii) $y=a_1 \sin 2 \omega t$
(c) Fringe width $\beta \propto \lambda$. Therefore, $\lambda$ and hence $\beta$ decreases 1.5 times when immersed in liquid. The distance between central maxima and 10 maxima is $3 cm$ in vacuum. When immersed in liquid it will reduce to $2 cm$. Position of central maxima will not change while $10^*$ maxima will be obtained at $y=4 cm$.

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