Question

If the period of a oscillation of mass 'm' suspended from a spring is 2 s, then the period of suspended mass '4m' with the same spring will be ______.

Options

• 1s

• 3s

• 2s

• 4s

Answer 1

If the period of a oscillation of mass 'm' suspended from a spring is 2 s, then the period of suspended mass '4m' with the same spring will be 4s.

Explanation:

T = \[2\pi\sqrt{\frac{\mathrm{m}}{\mathrm{k}}}\Rightarrow{\frac{\mathrm{T}_{2}}{\mathrm{T}_{1}}}={\sqrt{\frac{\mathrm{m}_{2}}{\mathrm{m}_{1}}}}={\sqrt{\frac{4\mathrm{m}}{\mathrm{m}}}}\] = 2

⇒ T₂ = 2 × 2 = 4 s