Paragraph : A particle vibrates in S.H.M. along a straight line. Its velocity is 4 cm/s when its displacement is 3 cm and velocity is 3 cm/s when displacement is 4 cm.
The amplitude of SHM is :

Options

A. 5 cm
B. 10 cm
C. 7 cm
D. 9 cm.

Answer

C

Explanation

`l=sqrt((u_(1)^(2)n_(2)^(2)-v_(2)^(2)n_(1)^(2))/(u_(1)^(2)-v_(1)^(2)))=sqrt(16xx4^(2)-9xx3^(2))/(16-9)`
`=5` cm
Correct choice is ( c ).