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If the product of 'muscular strength' and speed is equal to dimensions of power, then the dimensions of 'muscular strength' is:

If the product of 'muscular strength' and speed is equal to dimensions of power, then the dimensions of 'muscular strength' is: Correct Answer [M<sup>1</sup>L<sup>1</sup>T<sup>-2</sup>]

The correct answer is option 1) i.e. 

CONCEPT:

  • ​Fundamental quantity: A quantity that can be measured is called a physical quantity. Fundamental quantities are those which cannot be expressed or measured in terms of other physical quantities. 
  • The seven fundamental quantities along with their dimensions are as follows:
Fundamental quantity Dimension
Time T
Mass M

Electric current

 A
Thermodynamic temperature K
Amount of substance mol
Luminous intensity cd
Length L
 

EXPLANATION:

  • Power is defined as the work done per unit time. 
    • Dimensions of work done = force × displacement =  × =  
    • Dimensions of time =
    • Thus, the dimensions of power =  × -1 =  
  • ​Dimensions of speed =

⇒ Muscular strength × speed = power

⇒ Muscular strength × =  

⇒ Muscular strength = 

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