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JEE PHYSICS MCQ: OSCILLATIONS

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A body performing simple harmonic motion has potential energy '

P_1

' at displacement '

x_1

'. Its potential energy is '

{P}_{{2}}

' at displacement '

{x}_{{2}}

'. The potential energy '

P

' at displacement

\left({x}_1+{x}_2\right)

is

View answer and explanation

Correct option: B

\mathrm{P}_1+\mathrm{P}_2+2 \sqrt{\mathrm{P}_1 \mathrm{P}_2}

Option B (

\mathrm{P}_1+\mathrm{P}_2+2 \sqrt{\mathrm{P}_1 \mathrm{P}_2}

) is correct because it represents the potential energy at the combined displacement, derived from the SHM potential energy formula.

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. At a displacement

{y_1}

its potential energy is

{U_1}

and at a displacement

{y_2}

its potential energy is

{U_2}

. The potential energy of the particle at displacement

\left( {{y_1} + {y_2}} \right)