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NEET PHYSICSEasy

The dimensional formula for impulse is:

A

[MLT⁻²]

B

[MLT⁻¹]

C

[ML²T⁻¹]

D

[M²LT⁻¹]

Step-by-Step Solution

Impulse is defined as the product of force and the time duration for which it acts (Impulse = Force × time). It is also equivalent to the change in momentum.

  1. Formula: I=F×ΔtI = F \times \Delta t
  2. Dimensional Analysis:
  • Force (FF): Mass × Acceleration = [M]×[LT2]=[MLT2][M] \times [LT^{-2}] = [MLT^{-2}]
  • Time (tt): [T][T]
  1. Calculate Dimensions: [I]=[MLT2]×[T]=[MLT1][I] = [MLT^{-2}] \times [T] = [MLT^{-1}] Alternatively, since Impulse equals change in momentum (Δp=mΔv\Delta p = m \Delta v): [p]=[M]×[LT1]=[MLT1][p] = [M] \times [LT^{-1}] = [MLT^{-1}]
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