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NEET2009PhysicsOscillationsActual

A ball is suspended by a thread of length L at the point O on a wall which is inclined to the vertical by . The thread with the ball is displaced by a small angle away from the vertical and also away from the wall. If the ball is released, the period of oscillation of the pendulum when > will be

Options

  1. AL g [ +2 ⁻¹ ]
  2. BL g [ -2 ⁻¹ ]
  3. CL g [2 ⁻¹ - ]
  4. DL g [ ⁻¹ + ]

Correct answer

A. L g [ +2 ⁻¹ ]

Step-by-step solution

= ₀ t, = g L T=2 L g When > , time taken by pendulum from B to C and C to Bt₁= T 2 = 1 2 2 L g = L g Time taken by pendulum from B to A and A to Bt₂=2 t= 2 ⁻¹ ( ) using = ₀ t = t or t= 1 ⁻¹ ( ) Time period of motion T=t₁+t₂= L g [ +2 ⁻¹ ]

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