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Questions  

The displacement of a particle is given by 
  x=3sin(5πt)+4cos(5πt)
The amplitude of the particle is

a
3
b
4
c
5
d
7

detailed solution

Correct option is C

For the given super imposing waves a1=3,  a2=4 and phase difference  φ=π2⇒A=a12+a22+2a1a2cosπ/2=(3)2+(4)2=5

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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 π3 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 


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