Waves from two different sources overlap near a particular point. The amplitude and the frequency of the two waves are same. The ratio of the intensity when the two waves arrive in phase to that when they arrive $90^{o}$ out phase is:

1 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\sqrt{2} : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $2 : 1$
Given the 2 waves have same amplitude & frequency, this implies that they have the same maximum intensities.

$∴ I = I_{m a x} {cos}^{2} ϕ / 2$

where $ϕ$ = phase difference
$I$ = intensity at a point.

when in phase, $I_{1} = I_{m a x} {cos}^{2} (0 / 2) = I_{m a x}$

when $90^{\circ}$ out $I_{2} = I_{m a x} {cos}^{2} (π / 4) = \frac{I_{m a x}}{2}$ of phase

$∴ I_{1} : I_{2} = 2 : 1$

Suggest Corrections

Similar questions

Q. Waves from two sources superpose on each other at a particular point, amplitude and frequency of both the waves are equal. The ratio of intensities when both waves reach in the same phase and when they reach with the phase difference of

90^{\circ}

will be

Two light waves of the same frequency and constant phase difference have intensities in the ratio 81:1. When these waves are superposed, they produce inerference fringes. Calculate the ratio of maximum to minimum intensity

Q. Assertion :Two sound waves of same intensity in a particular medium will have displacement amplitude in ratio of 2 : 1 if they have frequency in the ratio 1 : 2. Reason: Two wave of same velocity amplitude in a particular medium have equal intensity.

Q. Two sound waves having intensities 4 unit and 9 unit coming from two coherent sources arrive at a point along the same line simultaneously in same phase .Resultant intensity at the point will be

Q. Statement-1: All points on a wavefront vibrate in same phase with same frequency
Statement-2: Two sources are said to be coherent if they produce waves of same frequency with a constant phase difference.

Join BYJU'S Learning Program

Waves from two different sources overlap near a particular point. The amplitude and the frequency of the two waves are same. The ratio of the intensity when the two waves arrive in phase to that when they arrive 90o out phase is:

Waves from two different sources overlap near a particular point. The amplitude and the frequency of the two waves are same. The ratio of the intensity when the two waves arrive in phase to that when they arrive $90^{o}$ out phase is: