Question

Identify the pair of physical quantities, whose dimensions are equal *
(a) work and energy
(b) distance and displacement
(c) speed and velocity
(d) all of the above

Answer 1

Given :  (a) work and energy  

(b) distance and displacement  

(c) speed and velocity

(d) all of the above

To Find :  Identify the pair of physical quantities, whose dimensions are equal  

Solution:

Work   = Force * d   = m * a * d  =  MLT⁻²L  = ML²T⁻²

Energy = mgh or  (1/2)mv²

mgh  = MLT⁻²L  = ML²T⁻²

(1/2)mv² = M ( LT⁻¹)² =  ML²T⁻²

Work   = Energy = ML²T⁻²

distance and displacement = L

speed and velocity   =  LT⁻¹

Hence all of the above have same dimension

Learn more:

https://brainly.in/question/23855830

The physical quantity having the same unit in all the systems of unit ...

https://brainly.in/question/4617397

The reference standard used for the measurement of a physical ...

https://brainly.in/question/4616981