1.

A body is executing Simple Harmonic Motion. At a displacement \[x\] its potential energy is \[{{E}_{1}}\] and at a displacement \[y\] its potential energy is \[{{E}_{2}}\] The potential energy \[E\] at displacement \[(x+y)\]is

A. \[\sqrt{E}=\sqrt{{{E}_{1}}}-\sqrt{{{E}_{2}}}\]
B. \[\sqrt{E}=\sqrt{{{E}_{1}}}+\sqrt{{{E}_{2}}}\]
C. \[E={{E}_{1}}+{{E}_{2}}\]   
D. \[E={{E}_{1}}-{{E}_{2}}\]
Answer» C. \[E={{E}_{1}}+{{E}_{2}}\]   


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