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Question: Two particles are executing S.H.M. The equation of their motion are \(y _ { 1 } = 10 \sin \left( \om...

Two particles are executing S.H.M. The equation of their motion are y1=10sin(ωt+πT4)y _ { 1 } = 10 \sin \left( \omega t + \frac { \pi T } { 4 } \right) y2=25sin(ωt+3πT4)y_{2} = 25\sin\left( \omega t + \frac{\sqrt{3}\pi T}{4} \right). What is the ratio of their amplitude

A

1 : 1

B

2 : 5

C

1 : 2

D

None of these

Answer

2 : 5

Explanation

Solution

a1a2=1025=25\frac{a_{1}}{a_{2}} = \frac{10}{25} = \frac{2}{5}