Question

If the period of oscillation of mass $m$ suspended from a spring is $2sec$, then the period of mass $4m$ will be

• A. $1sec$
• B. $2sec$
• C. $3sec$
• D. $4sec$

Answer 1

Answer: (D)

$4sec$

The time period of oscillation of spring mass system is given by:

$T=2\pi \sqrt{\frac{m}{k}}$

So, the ratio of the time period can be obtained as:

$\Rightarrow \frac{T_2}{T_1}=\sqrt{\frac{m_2}{m_1}}=\sqrt{\frac{4m}{m}}=2$

$\Rightarrow T_2=2\times 2=4s$