Question

# Assertion: Average kinetic energy in one oscillation during SHM of a body is 14mω2A2. Reason: Maximum kinetic energy is 12mω2A2.

A
If both assertion and reason are correct and reason is the correct explanation of assertion.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
If both assertion and reason are correct but reason is not the correct explanation of assertion.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Assertion is true but reason is false.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Assertion is false but reason is true.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C If both assertion and reason are correct but reason is not the correct explanation of assertion.If v=Aωsinωt Then, vmax=Aω ∴ KEmax=12mv2max=12mω2A2 Further, Average kinetic energy<KE>=<12mω2A2sin2ωt> =12mω2A2<sin2ωt> Average value of sin2ωt for one oscillation <sin2ωt>=12 ∴ <KE>=14mω2A2

Suggest Corrections
0
Explore more