1. Tardigrade
  2. Question
  3. Physics
  4. Two 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: (I) 2 a0, 6 a0 and π rad (II) 3 a0, 5 a0 and π and (III) 9 a0, 7 a0, and 3 π rad (IV) 2 a0, 2 a0 and 0 . The pair/s which has greatest intensity is/are:

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Q. Two 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 :
(I) $2 a_{0}, 6 a_{0}$ and $\pi $ rad
(II) $3 a_{0}, 5 a_{0}$ and $\pi$ and
(III) $9 a_{0}, 7 a_{0}$, and $3 \pi $ rad
(IV) $2 a_{0}, 2 a_{0}$ and 0 .
The pair/s which has greatest intensity is/are:

Wave Optics

Solution:

The resulting amplitude in the given four cases are $4 a_{0}, 2 a_{0}, 2 a_{0}$ and $4 a_{0}$. Thus in case I and IV intensity will be maximum and equal.