Question

A body of mass 20 g connected to a spring of spring constant k, executes simple harmonic motion with a frequency of (5/$\pi$) Hz. The value fo spring constant is

• A. 4 N m–1
• B. 3 N m–1
• C. 2 N m–1
• D. 5 N m–1

Answer 1

Answer: (C)

2 N m–1

Answer 2

Here, $\mathrm { m } = 20 \mathrm {~g} = 20 \times 10 ^ { - 3 } \mathrm {~kg} , \mathrm { v } = \frac { 5 } { \pi } \mathrm { Hz }$

As $v = \frac { 1 } { 2 \pi } \sqrt { \frac { k } { m } }$