A body is executing SHM. At a displacement x its PE is E₁ and at a displacement y its PE is E₂. The PE at displacement (x+y) is

• A

  $\sqrt{\mathrm{E}}=\sqrt{{\mathrm{E}}_1}-\sqrt{{\mathrm{E}}_2}$

• B

  $\sqrt{\mathrm{E}}=\sqrt{{\mathrm{E}}_1}+\sqrt{{\mathrm{E}}_2}$

• C

  $\mathrm{E}={\mathrm{E}}_1+{\mathrm{E}}_2$

• D

  $\mathrm{E}={\mathrm{E}}_1-{\mathrm{E}}_2$