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Question: Answered & Verified by Expert
A body of mass, m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass  m is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass  m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is
PhysicsOscillationsNEETNEET 2016 (Phase 2)
Options:
  • A 34
  • B 43
  • C 169
  • D 916
Solution:
2751 Upvotes Verified Answer
The correct answer is: 916

T1=3=2πmK.

Then, T2=5=2πm+1K.

By dividing both the equations, we get,

35=mm+1

925=mm+1

9m+9=25 m

16m=9

m=916.

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