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Question: Answered & Verified by Expert
A body is executing SHM. When the displacement of the body from the mean position is 4 cm and 5 cm, the values of the corresponding velocity of the body are 10 cm s-1 and 8 cm s-1, respectively. The time period of the body is
PhysicsOscillationsNEET
Options:
  • A 2π s
  • B π2 s
  • C π s
  • D 3π2 s
Solution:
2212 Upvotes Verified Answer
The correct answer is: π s
10=ωa2-16 ....(1)

8=ωa2-25 .....(2)

542=a2-16a2-25

or 2516=a2-16a2-25

9a2=625-256

a2=3699=41

from equation (i)

10=ω41-16=ω×5

or ω=2

2πT=2

or T=π sec

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