Q.

A brass rod has length 0.2m area of cross section 1.0cm2 and Young's modulus 1011Nm–2. If it is compressed by 5kg. wt along its length then the change in its energy will be

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a

A decrease of 2.4 × 107 J

b

A decrease of 2.4 × 10–5 J

c

An increase of 2.4 × 10–5 J

d

An increase of 2.4 × 107 J

answer is A.

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Detailed Solution

l = 2 x 10-1 mA = 1 x 10-4 m2
y = 1011 Nm-2, F = 5 x 9.8N
w=12F2lAy=l2 x 25 x 9.8 x 9.8 x 2 x 10-11 x 10-4 x 1011
w = 2.4 x 10-5 J, As the work is done on the rod the energy of the rod increases.

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