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JEE Main 2012Offline
Exam
JEE Main
Year
2012
Mode
Offline
Subject
Physics
Chapter
Laws of Motion

JEE Main 2012 · Offline · Physics · Laws of Motion

This question has statement 1 and statement 2 . Of the four choices...

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 < k_2

Options

  1. AStatement 11 is false, Statement 22 is true
  2. BStatement 11 is true, Statement 22 is false
  3. CStatement 11 is true, Statement 22 is the correct explanation for statement 11
  4. DStatement 11 is true, Statement 22 is true, Statement 22 is not the correct explanation for statement 11.

Correct answer

A. Statement 11 is false, Statement 22 is true

Step-by-step solution

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>\mathrm{K}_2 \mathrm{S}_2^2 S1>S2\mathrm{S}_1>\mathrm{S}_2 K1<K2\mathrm{K}_1 < \mathrm{K}_2 W∝K\mathrm{W} \propto \mathrm{K} W1<W2\mathrm{W}_1 < \mathrm{W}_2
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