MHT CET202521 Apr 2025Evening ShiftPhysicsWork, Power and EnergyActual
A simple pendulum oscillates with an angular amplitude . If the maximum tension in the string is 4 times the minimum tension then the value of is
Options
- A⁻¹(0 75)
- B⁻¹(0 5)
- C⁻¹(0 5)
- D⁻¹(0 75)
Correct answer
B. ⁻¹(0 5)
Step-by-step solution
The tension T in the pendulum string at angle is expressed as T = mg + mv^2 L . Maximum tension occurs at the bottom ( = 0 ), applying conservation of energy: v_ max ^2 = 2gL(1 - ) . Substitution yields T_ max = mg(3 - 2 ) . Minimum tension occurs at the amplitude extreme, T_ min = mg , where velocity is zero. Given T_ max = 4T_ min , solve: 3 - 2 = 4 . This simplifies to 3 = 6 , giving = 0.5 . Therefore, = ⁻¹(0.5) , corresponding to option B .