A weightless spring which has a force constant oscillates with fr… - Vidyadip

MCQ

A weightless spring which has a force constant oscillates with frequency $n$ when a mass $m$ is suspended from it. The spring is cut into two equal halves and a mass $2 m$ is suspended from it. The frequency of oscillation will now become

✓
$n$
B
$2 n$
C
$n / \sqrt{2}$
D
$n(2)^{1 / 2}$

✓

Answer

Correct option: A.

$n$

$n=\frac{1}{2 \pi} \sqrt{\frac{k}{m}} \Rightarrow \frac{n}{n^{\prime}}=\sqrt{\frac{k}{m}} \times \frac{m^{\prime}{K^{\prime}}}=\sqrt{\frac{k}{m} \times \frac{2 m}{2 K}}=1 \Rightarrow n^{\prime}=n$

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