Verified Solution • 2025–26 Session moderate

QAIPMT-2007-Ph-2363: NEET 2007 Physics - Class 12 AIPMT-2007-Ph-2363 Solution: A particle moving along x-axis has acceleration f at time t…

A particle moving along x-axis has acceleration f at time t given by f=f0(1−tT)f = f_0(1-\frac{t}{T}) where f0f_0 and T are constants. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0 the particle's velocity (vxv_x) is 12f0T2\frac{1}{2}f_0T^2 f0T2f_0T^2 12f0T\frac{1}{2}f_0T f0Tf_0T

Multiple Choice Options

  • A q2ε0{q \over {2{\varepsilon _0}}} 2 _ 0 _ q _
  • B ϕ3{\phi \over 3} 3 _ _
  • C qε0−ϕ{q \over {{\varepsilon _0}}} - \phi _ 0 _ q _ _ _
  • D 12(qε0−ϕ){1 \over 2}\left( {{q \over {{\varepsilon _0}}} - \phi } \right) 2 1 _ ( _ 0 _ q _ _ _ )

Step-by-Step Verified Solution

Let _ A , _ B and _ C are the electric flux linked with A, B and C. According to Gauss theorem, _ A + _ B + _ C = q _ 0 Since _ A = _ C _ 2 _ A = q _ 0 _ _ B _ 2 _ A = q _ 0 _ _     ( G i v e n _ B = _ ) _ _ A = 1 2 ( q _ 0 _ _ )

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