JIPMER2015PhysicsOscillations
A particle is subjected to two simple harmonic motions along X -axis while other is along a line making angle 45^ with the X -axis. The two motions are given by x=x₀ t and s=s₀ t . The amplitude of resultant motion is
Options
- Ax₀+s₀+2 x₀ s₀
- Bx₀^2+s₀^2
- Cx₀^2-s₀^2+2 x₀ s₀
- D[x₀^2+s₀^2+ 2 x₀ s₀ ]^ 1 / 2
Correct answer
D. [x₀^2+s₀^2+ 2 x₀ s₀ ]^ 1 / 2
Step-by-step solution
Two SHMs are separated at angle 45^ . So, resultant amplitude is aligned & A_R= (s₀+x₀ 45^ )^2+ (x₀ 45^ )^2 & = (s₀^2+x₀^2 ^2 45^ +2 x₀ s₀ 45^ +x₀^2 ^2 45^ ) & = s₀^2+x₀^2+ 2 x₀ s₀ aligned