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, will be more than that on S2. Statement -2 : k1

Engineering

Physics

Physical Quantities

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 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, will be more than that on S₂.

Statement -2 : k₁ < k₂

Statement-1 is true, Statement-2 is true and Statement-2 is the correct explanation of Statement-1.

Statement-1 is true, Statement-2 is true and Statement-2 is not the correct explanation of Statement-1

Statement-1 is true, Statement-2 is false

Statement-1 is false, Statement-2 is true.

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Stretched by same force hence k₁x₁ = k₂x₂

More work is done on spring-1 hence

$\frac{1}{2} k_{1} x_{1}^{2} > \frac{1}{2} k_{2} x_{2}^{2}$

$\Rightarrow$ x₁ > x₂

$\Rightarrow$ k₁ < k₂

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