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Question: A wire elongates by 1.0 mm when a load W is hanged from it. If this wire goes over a pulley and two ...

A wire elongates by 1.0 mm when a load W is hanged from it. If this wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be

A

0.5 m

B

1.0 mm

C

2.0 mm

D

4.0 mm

Answer

1.0 mm

Explanation

Solution

Elongation in the wire Tension in the wire

In first case T2=2W×WW+WT _ { 2 } = \frac { 2 W \times W } { W + W }

As l2=l1=1.0 mml _ { 2 } = l _ { 1 } = 1.0 \mathrm {~mm}