Q4 / 107 · NTA Abhyas (JEE Main) 2020 · Physics · Oscillations

The time period of a simple pendulum is T1 when its point of suspension is at rest with respect to the ground. When the point of suspension moves vertically upwards according to the law y=kt2 where k=1 ms-2, its new time period is T2, then the value of T12T22 is [Take g=10 ms-2]

  • A
    45
  • Correct answer
    B
    65
  • C
    56
  • D
    1

Solution

Acceleration of the point of suspension

a=d2ydt2=2k=2m/s2

T=2πLgeff ⇒T1=2πLg  

T2=2πLg+2

T12T22=g+2g=10+210=65
 

Hence, the correct answer is option: 'B'.

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