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If the superpositions of two SHM is give...

If the superpositions of two SHM is given by `x_1=A_1" "cos(omega_1t)" and "x_2=A_2" cos "(omega_2t+delta_2)` along X-axis, identify the wrong option

A

If `A_1=A_2" and "delta_2=pi`, the particle is always at rest.

B

If `delta_2=0,A_1=A_2" and "omega_1!=omega_2`, then the resultant motion is harmonic with frequency `omega=(omega_1+omega_2)/2`

C

If `A_1=A_2,omega_1!=omega_2,delta_2=0" and "A_1=A_2`, then the particle is at origin at time 't' `=(3pi)/(omega_1+omega_2)`

D

If `A_1=A_2,omega_1=omega_2" and "delta_2=0`, then the amplitude of resultant S.H.M. is 2`A_1`.

Text Solution

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The correct Answer is:
A
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