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Units and Measurements question

2024 · 31 Jan · Shift 1 · Q78
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Units and Measurements question

2024 · 31 Jan · Shift 1 · Q78

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1
A force is represented by F=ax2+bt12F=a x^2+b t^{\frac{1}{2}}F=ax2+bt21​ where x=x=x= distance and t=t=t= time. The dimensions of b2/ab^2 / ab2/a are:
  1. A
    [ML2 T−3]\left[\mathrm{ML}^2 \mathrm{~T}^{-3}\right][ML2 T−3]
  2. B
    [ML3 T−3]\left[\mathrm{ML}^3 \mathrm{~T}^{-3}\right][ML3 T−3]
  3. C
    [MLT−2]\left[M L T^{-2}\right][MLT−2]
  4. D
    [ML−1T−1]\left[M L^{-1} T^{-1}\right][ML−1T−1]
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