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Question

This question has statement 1 and statement 2. Of the four choices given after the statements, choose the one that best describes the two statements.
If two springs S1 and S2 of the force constants k1 and k2, respectively, are stretched by the same force, it is found that more work is done on spring S1 than on spring S2.
Statement-l : When stretched by the same amount, work done on S1, will be more than that of S2
Statement-2: k1<k2.

A
Statement-1 is false, statement-2 is true
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B
Statement-1 is true, statement-2 is false
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C
Statement-1 is true, statement-2 is true, statement 2 is the correct explanation of statement- 1
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D
Statement-1 is true, statement-2 is true, statement-2 is not the correct explanation of Statement-1
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Solution

The correct option is A Statement-1 is false, statement-2 is true
k1x1=k2x2=F
W1=12kx21=F22k1
Similarly for W2=F22k2
Since W1k
W1.W2 k1<k2, Statement-2 is true.
From Statement-1, W2>W1, hence it is false.

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