question_answer

Two particles A and B of equal masses are suspended from two massless springs of spring constants \[{{k}_{1}}\] and \[{{k}_{2}}\], respectively. If the   maximum   velocities,   during oscillations are equal, the ratio of amplitudes of A and B is            [AIEEE 2003]

A)  \[\sqrt{{{k}_{1}}/{{k}_{2}}}\]         

B)       \[{{k}_{1}}/{{k}_{2}}\]

C)  \[\sqrt{{{k}_{2}}/{{k}_{1}}}\]  

D)       \[{{k}_{2}}/{{k}_{1}}\] \[\]

Correct Answer: C

Solution :

[c] The maximum velocity,

where, A is amplitude and T is time period.

Hence,

(given)