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Q.

Work done by an external agent in stretching a spring by 1 cm is 9 J, work done in stretching the same spring by 2 cm is 16 J. Then the work done in stretching the same spring by 3 cm is

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a

24 J

b

25 J

c

32 J

d

50 J

answer is B.

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Detailed Solution

W1=12Kx2⇒x=2W1K and y=2W2KW=12K(x+y)2=12K[2W1K+2W2K]2=(W1+W2)2=(4+9)2J=25J
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Work done by an external agent in stretching a spring by 1 cm is 9 J, work done in stretching the same spring by 2 cm is 16 J. Then the work done in stretching the same spring by 3 cm is