question_answer

A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes \[5T/3\], then the ratio of \[\frac{m}{M}\] is                                                                                  [AIEEE 2003]

A)  \[\frac{3}{5}\]             

B)       \[\frac{25}{9}\]

C)  \[\frac{16}{9}\]            

D)       \[\frac{5}{3}\]

Correct Answer: C

Solution :

[c] The time period for the SHM,

... (i)

and

... (ii)

Dividing Eq. (i) by Eq. (ii), we have