Two wires of the same diameter of the same material having the length - and 2- If the force is applied on each- the ratio of the work done in the two will be

The correct option is A 1: 2 [ W= 1 2 Fl ( W α l ) #160;; W_ 1 W_ 2 = l_ 1 l_ ...

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Standard XII

Physics

Work Done When Force Is Varying

Two wires of ...

Question

Two wires of the same diameter of the same material having the length $ℓ$ and $2 ℓ$ . If the force is applied on each, the ratio of the work done in the two will be

1 : 2

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1 : 4

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2 : 1

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1 : 1

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Solution

The correct option is A $1 : 2$
$\begin{matrix} W = \frac{1}{2} F l (W α l) \frac{W_{1}}{W_{2}} = \frac{l_{1}}{l_{2}} = \frac{l}{2 l} = \frac{1}{2} = 1 : 2 \end{matrix}$
Hence,
option $(A)$ is correct answer.

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Two wires of the same diameter of the same material having the length ℓ and 2ℓ. If the force is applied on each, the ratio of the work done in the two will be

The correct option is A 1:2W=12Fl(Wαl)W1W2=l1l2=l2l=12=1:2Hence,option (A) is correct answer.

Two wires of the same diameter of the same material having the length $ℓ$ and $2 ℓ$ . If the force is applied on each, the ratio of the work done in the two will be

The correct option is A $1 : 2$
$\begin{matrix} W = \frac{1}{2} F l (W α l) \frac{W_{1}}{W_{2}} = \frac{l_{1}}{l_{2}} = \frac{l}{2 l} = \frac{1}{2} = 1 : 2 \end{matrix}$
Hence,
option $(A)$ is correct answer.