If the two springs with spring constant $k_{1}$ and $k_{2}$ are arranged as shown in figure, then the effective spring constant of two spring system will be

k_{1} - k_{2}

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k_{1} + k_{2}

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k_{1} k_{2} / k_{1} - k_{2}

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k_{1} k_{2} / k_{1} + k_{2}

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Solution

The correct option is B $k_{1} + k_{2}$
When external force is applied, one spring gets extended and another gets contracted by the same distance, hence force due to two springs act in same direction.
i.e., $F = F_{1} + F_{2}$
$- k x = - k_{1} x - k_{2} x$
$k = k_{1} + k_{2}$ .

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If the two springs with spring constant k1 and k2 are arranged as shown in figure, then the effective spring constant of two spring system will be

The correct option is B k1+k2When external force is applied, one spring gets extended and another gets contracted by the same distance, hence force due to two springs act in same direction.i.e., F=F1+F2−kx=−k1x−k2xk=k1+k2.

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The correct option is B $k_{1} + k_{2}$
When external force is applied, one spring gets extended and another gets contracted by the same distance, hence force due to two springs act in same direction.
i.e., $F = F_{1} + F_{2}$
$- k x = - k_{1} x - k_{2} x$
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