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JEE Main Physics Class 11 Oscillations Part 1 Questions
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© examsnet.com
Question : 1
Total: 100
For a body executing SHM
A. potential energy is always equal to its kinetic energy.
B. average potential and kinetic energy over any given time interval are always equal.
C. sum of the kinetic and potential energy at any point of time is constant.
D. average kinetic energy in one time period is equal to average potential energy in one time period.
Choose the most appropriate option from the options given below.
[31 Aug 2021 Shift 2]
(C) and (D)
Only (C)
(B) and (C)
Only (B)
Validate
Solution:
As we know that, for a body executing SHM the average kinetic energy is equal to average potential energy over a complete time period
i.e.
KE
av
=
PE
av
=
1
4
m
ω
2
a
2
∴ Total mechanical energy at any time = Sum of kinetic and potential energy
=
1
2
m
ω
2
a
2
=
constant.
where, m = mass of body executing SHM,
ω = angular frequency
and a = amplitude of SHM.
Hence, (c) and (d) are true.
© examsnet.com
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