Q.

A body executes simple harmonic motion the potential energy (PE),  the kinetic energy (KE) and total energy (TE) are measured as a function of displacement x. Which of the following statement is true?

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a

KE is maximum when x=0

b

TE is zero when x=0

c

KE is maximum when x is maximum 

d

PE is maximum when x=0

answer is A.

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Detailed Solution

At x=0, KE is maximum and PE is minimum

kinetic energy of simple harmonic oscillator is  

K=122(A2-x2) When x=0,  K=122(A2)  this is maximum energy  

potential energy of simple  

harmonic oscillator is 

PE==122(x2)  When x=0, PE=0

total energy of a simple harmonic oscillator =TE=122(A2)=constant

 

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