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Question: Two waves are propagating to the point P along a straight line produced by two sources A and B of si...

Two waves are propagating to the point P along a straight line produced by two sources A and B of simple harmonic and of equal frequency. The amplitude of every wave at P is 'a' and the phase of A is ahead by p/3 than that of B and the distance AP is greater than BP by 50 cm. Then the resultant amplitude at the point P will be, if the wavelength is 1 meter –

A

2a

B

a3\sqrt{3}

C

a2\sqrt{2}

D

a

Answer

a

Explanation

Solution

Df = 2πλ\frac { 2 \pi } { \lambda } . Phase difference

̃ Df = p

R = = a