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 $\mathrm{S_1}$ and $\mathrm{S_2}$ 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 $\mathrm{S_1}$ than on spring $\mathrm{S_2}$. Statement $1$ : If stretched by the same amount, work done on $\mathrm{S}_1$, will be more than that on $\mathrm{S}_2$ Statement $2: k_1 < k_2$

• Correct answer
  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 the correct explanation for statement $1$
• D

  Statement $1$ is true, Statement $2$ is true, Statement $2$ is not the correct explanation for statement $1$.

Hence, the correct answer is option: 'A'.