Two similar springs $\text{P}$ and $\text{Q}$ have spring constants ${\mathrm{K}}_{\mathrm{P}}$ and ${\mathrm{K}}_{\mathrm{Q}}$, such that ${\mathrm{K}}_{\mathrm{P}}>{\mathrm{K}}_{\mathrm{Q}}$. They are stretched, first by the same amount (case a), then by the same force (case b). the work done by the springs ${\mathrm{W}}_{\mathrm{P}}$ and ${\mathrm{W}}_{\mathrm{Q}}$ are related as respectively, in case

• A

  ${\mathrm{W}}_{\mathrm{P}}={\mathrm{W}}_{\mathrm{Q}};{\mathrm{W}}_{\mathrm{P}}>{\mathrm{W}}_{\mathrm{Q}}$
• B

  ${\mathrm{W}}_{\mathrm{P}}={\mathrm{W}}_{\mathrm{Q}};{\mathrm{W}}_{\mathrm{P}}={\mathrm{W}}_{\mathrm{Q}}$
• Correct answer
  C

  ${\mathrm{W}}_{\mathrm{P}}>{\mathrm{W}}_{\mathrm{Q}};{\mathrm{W}}_{\mathrm{Q}}>{\mathrm{W}}_{\mathrm{P}}$
• D

  ${\mathrm{W}}_{\mathrm{P}}<{\mathrm{W}}_{\mathrm{Q}};{\mathrm{W}}_{\mathrm{Q}}<{\mathrm{W}}_{\mathrm{P}}$

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