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Plz solve doubt As soon as possible Please Thank you Regards

Plz solve doubt 
 
As soon as possible 
 
Please 
Thank you 
Regards 

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Grade:11

1 Answers

Kapil Khare
80 Points
5 years ago
It is given in the question that amplitude is same for the body of mass m/2.
And we know that,
Angular frequency,  \omega = (k/m)1/2 for the body of mass m
When we replace the body with another body of mass m/2,
Angular frequency,  \omega1 = (2k/m)1/2
Then energy,        E1 = (1/2)(m/2)(\omega1)2A2
\implies                     E1 = (1/2)(m/2)(2k/m)A
\implies                     E1 = [(1/2)(m)(k/m)A2]
\implies                     E1 = [(1/2)(m)(\omega)2A2]
\implies                     E1 = E

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