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 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 1: If stretched by the same amount, work done on S₁ is more than that on S₂ STATEMENT 2: k₁ < k₂ (a) Statement 1 is false, Statement 2 is true (b) Statement 1 is true, Statement 2 is false (c) Statement 1 is true, Statement 2 is true, Statement 2 is the correct explanation for Statement 1 (d) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for Statement 1

Answer: (a). Same force: W = F²/2k; more work on S₁ means k₁ < k₂, so Statement 2 is true. Same stretch: W = 1/2kx²; since k₁ < k₂, work on S₁ is less, so Statement 1 is false. So the answer is (a).

This question has Statement 1 and Statement 2. Of the four choices… | JEE Main 2012 (AIEEE)

Q24JEE Main 2012 · AIEEEMedium

Spring & Elastic Energy

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 $S_1$ and $S_2$ of force constants $k_1$ and $k_2$ , respectively, are stretched by the same force, it is found that more work is done on spring $S_1$ than on spring $S_2$ .

STATEMENT 1: If stretched by the same amount, work done on $S_1$ is more than that on $S_2$ STATEMENT 2: $k_1 < k_2$

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Answer: (a)

Same force: $W = \frac{F^2}{2k}$ ; more work on $S_1$ means $k_1 < k_2$ , so Statement 2 is true.
Same stretch: $W = \frac{1}{2}kx^2$ ; since $k_1 < k_2$ , work on $S_1$ is less, so Statement 1 is false.
So the answer is (a).

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