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Physics - SHM Question with Solution | TestHub

PhysicsSHMEnergyMedium2 minPYQ_2020

PhysicsMediumsingle choice

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 $(x_{1} + x_{2})$ is

Options:

Answer:

Solution:

(B) $P = \frac{1}{2} k (x_{1} + x_{2})^{2} = \frac{1}{2} k (x_{1}^{2} + x_{2}^{2} + 2 x_{1} x_{2}) = \frac{1}{2} k x_{1}^{2} + \frac{1}{2} k x_{2}^{2} + 2 (\frac{k}{2} x) (\frac{k}{2} x_{2}) = P_{1} + P_{2} + 2 P_{1} P_{2}$

Stream:MHT_CETSubject:PhysicsTopic:SHMSubtopic:Energy

⏱ 2mℹ️ Source: PYQ_2020

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