Question

Assertion :In spring block system if length of spring and mass of block both are halved, then angular frequency of oscillations will remain unchanged Reason: Angular frequency is given by $\omega =\sqrt{\frac{k}{m}}$.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Assertion is incorrect but Reason is correct

Answer 1

The correct option is D Assertion is incorrect but Reason is correct

$k\propto \frac{1}{l}$
$\omega =\sqrt{\frac{k}{m}}$
$\therefore$ $\omega \propto \frac{1}{\sqrt{ml}}$
It m and l both are halved then $\omega$ will become 2 times.