Laws of Motion

JEE Main level, single correct, medium

122 of 210

Question 122 of 210

This question has statement 11 and statement 22. Of the four choices given after the statements, choose the one that best describes the two statements.
If two springs
S1\mathrm{S_1} and S2\mathrm{S_2} of force constants k1k_1 and k2k_2, respectively, are stretched by the same force, it is found that more work is done on spring S1\mathrm{S_1} than on spring S2\mathrm{S_2}.
Statement
11 : If stretched by the same amount, work done on S1\mathrm{S}_1, will be more than that on S2\mathrm{S}_2
Statement
2:k1<k22: k_1 \lt k_2

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Answer: (A) Statement 11 is false, Statement 22 is true

F=K1S1=K2S2\mathrm{F}=\mathrm{K}_1 \mathrm{S}_1=\mathrm{K}_2 \mathrm{S}_2
W1=FS1, W2=FS2\mathrm{W}_1=\mathrm{FS}_1, \mathrm{~W}_2=\mathrm{FS}_2
K1S12>K2S22\mathrm{K}_1 \mathrm{S}_1{ }^2\gt \mathrm{K}_2 \mathrm{S}_2^2
S1>S2\mathrm{S}_1\gt \mathrm{S}_2
K1<K2\mathrm{K}_1 \lt \mathrm{K}_2
W∝K\mathrm{W} \propto \mathrm{K}
W1<W2\mathrm{W}_1 \lt \mathrm{W}_2

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