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Units and Measurement question

2024 · Q190
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Units and Measurement question

2024 · Q190

NEETPhysicsUnits and MeasurementMCQ+4 / −1

The potential energy of a particle moving along xxx-direction varies as V=Ax2x+BV=\frac{A x^2}{\sqrt{x}+B}V=x​+BAx2​. The dimensions of A2B\frac{A^2}{B}BA2​ are:

  1. A
    [M3/2 L1/2 T−3]\left[\mathrm{M}^{3 / 2} \mathrm{~L}^{1 / 2} \mathrm{~T}^{-3}\right][M3/2 L1/2 T−3]
  2. B
    [M1/2LT−3]\left[\mathrm{M}^{1 / 2} \mathrm{LT}^{-3}\right][M1/2LT−3]
  3. C
    [M2L1/2T−4]\left[M^2 L^{1 / 2} T^{-4}\right][M2L1/2T−4]
  4. D
    [ML2 T−4]\left[\mathrm{ML}^2 \mathrm{~T}^{-4}\right][ML2 T−4]
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