Question

The angular frequency of a block of mass 0.1 kg oscillating with the help of a spring of force constant 2.5 N m\(^{-1}\) is:

• A. 0.2 rad s\(^{-1}\)
• B. 5 rad s\(^{-1}\)
• C. 10 rad s\(^{-1}\)
• D. 2 rad s\(^{-1}\)

Hint:

Angular frequency (\(\omega\)) of a spring-mass system depends only on spring constant (\(k\)) and mass (\(m\)), not on amplitude.

Answer 1

The Correct Option is B

Step 1: Recall the formula for angular frequency
For a spring-mass system: \[ \omega = \sqrt{\frac{k}{m}} \] Step 2: Substitute given values
Given \( k = 2.5 \, \text{N m}^{-1} \) and \( m = 0.1 \, \text{kg} \): \[ \omega = \sqrt{\frac{2.5}{0.1}} = \sqrt{25} = 5 \, \text{rad s}^{-1} \]