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Spring Block's Time Period

When a body i...

Question

When a body is suspended to a spring its length is increased by $0.2$ $m$ , then the same body is further pull down by 5 $c m$ and released. Its time period of oscillation is :

A

8 s

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B

0.9 s

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C

7 s

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D

3.14 s

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Solution

The correct option is B $0.9 s$
In the initial condition,

$k x = m g;$ Given, $x = 0.2 m$

So, we have

$k \times 0.2 = m \times 10$

$\to \frac{m}{k} = 0.02$

$T = 2 π \sqrt{\frac{m}{k}}$

$T = 2 π \sqrt{0.02}$

$T = 0.9 s$

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