If a spring has time period ‘T’, and is cut into ‘n’ equal parts, then the time period of each part will be

T . \sqrt{n}

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\frac{T}{\sqrt{n}}

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n . T

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T

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Solution

The correct option is B $\frac{T}{\sqrt{n}}$
$T α \frac{1}{\sqrt{K}} K \to$ spring constant of whole spring
$T^{'} α \frac{1}{{\sqrt{K}}^{'}} \to$ Spring constant of each part
$∴ T^{'} α \frac{1}{\sqrt{n} K}$
$∴ T^{'} = \frac{T}{\sqrt{n}}$

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If a spring has time period ‘T’, and is cut into ‘n’ equal parts, then the time period of each part will be

The correct option is B T√nTα1√KK→ spring constant of whole spring T′α1√K′→ Spring constant of each part ∴T′α1√nK ∴T′=T√n

The correct option is B $\frac{T}{\sqrt{n}}$
$T α \frac{1}{\sqrt{K}} K \to$ spring constant of whole spring
$T^{'} α \frac{1}{{\sqrt{K}}^{'}} \to$ Spring constant of each part
$∴ T^{'} α \frac{1}{\sqrt{n} K}$
$∴ T^{'} = \frac{T}{\sqrt{n}}$