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Standard XII

Physics

SHM Formulae

As shown in f...

Question

As shown in figure, two light springs of force constant $300 N/m$ and $600 N/m$ oscillate a block of mass $10 kg$ . Find the effective force constant.

150 N/m

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200 N/m

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300 N/m

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600 N/m

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Solution

The correct option is B $200 N/m$
Given,
Force constant of spring 1 $(K_{1}) = 300 N/m$
Force constant of spring 2 $(K_{2}) = 600 N/m$
Mass of block $(m) = 10 kg$
In series arrangement,
effective spring constant $(K) = \frac{K_{1} K_{2}}{K_{1} + K_{2}}$
$= \frac{300 \times 600}{900}$
$= 200 N/m$

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SHM Formulae

Standard XII Physics

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As shown in figure, two light springs of force constant 300 N/m and 600 N/m oscillate a block of mass 10 kg. Find the effective force constant.

The correct option is B 200 N/mGiven, Force constant of spring 1 (K1)=300 N/m Force constant of spring 2 (K2)=600 N/m Mass of block (m)=10 kg In series arrangement, effective spring constant (K)=K1K2K1+K2 =300×600900 =200 N/m

As shown in figure, two light springs of force constant $300 N/m$ and $600 N/m$ oscillate a block of mass $10 kg$ . Find the effective force constant.

The correct option is B $200 N/m$
Given,
Force constant of spring 1 $(K_{1}) = 300 N/m$
Force constant of spring 2 $(K_{2}) = 600 N/m$
Mass of block $(m) = 10 kg$
In series arrangement,
effective spring constant $(K) = \frac{K_{1} K_{2}}{K_{1} + K_{2}}$
$= \frac{300 \times 600}{900}$
$= 200 N/m$