Q.

Find the dimensional formula of Momentum.

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a

Dimensionless

b

MLT-1

c

MLT-2

d

MLT-3

answer is B.

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Detailed Solution

Momentum is a fundamental concept in physics that quantifies the motion of an object. It is defined as the product of the mass of an object and its velocity.

The dimensional formula of momentum is derived as follows:

  1. The formula for momentum is given by: 
    Momentum (P) = Mass (m) × Velocity (v)
  2. The dimensional formula of mass (m) is: 
    [M]
  3. The dimensional formula of velocity (v) is: 
    [L T-1], where L represents length and T represents time.
  4. By substituting these into the formula for momentum, we get: 
    [P] = [M] × [L T-1]
  5. Thus, the dimensional formula of momentum is: 
    [P] = M L T-1

In conclusion, the dimensional formula of momentum combines the dimensions of mass, length, and time, resulting in M L T-1.

Understanding the dimensional formula of momentum is crucial for solving problems in physics, especially when analyzing systems involving motion and forces.

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