Question

Name the physical quantity of the dimensions:-
1. ML0T-3
2. ML-1T-1
3. M-1L3T-2
4.ML2T-3

Answer 1

Answer:

1) Intensity of radiation

2) Coefficient of viscosity

3) Gravitational constant

4) Power

Answer 2

Answer:

The quantities with the given dimensions are intensity, coefficient of viscosity, gravitational constant and  power.

Explanation:

1. Intensity of radiation or flux of radiant energy is defined as the power transferred per unit area.

• In the SI system, intensity has units watts per square meter$(W/m^{2} )$.
• And watt has basic units $kg . m^{2} .s^{-3}$.
• Therefore, intensity in terms of base units is

          $\dfrac{kg . m^{2} .s^{-3}}{m^{2}} ={kg .s^{-3}}}$

• Hence, the dimensional formula is  $ML^0T^{-3}$.

2. Coefficient of viscosity is defined as the tangential force required to maintain a unit velocity gradient between two parallel layers of liquid of unit area.

• SI unit of coefficient of viscosity of a liquid is $kg. m^{-1}.s^{-1}$

• Hence, the dimensional formula is  $ML^{-1}T^{-1}$.

3. Gravitational constant is the gravitational force acting between two bodies of unit mass, kept at a unit distance from each other.

• SI unit of gravitational constant is $Nm^2kg^{-2}$
• Where N is the unit of force. In base units, $F=kg. m.s^{-2}$
• Therefore, gravitational constant in terms of fundamental units is   $kg. m.s^{-2}\times m^2kg^{-2}= kg^{-1}. m^{3}.s^{-2}$

• Hence, the dimensional formula is $M^{-1}L^{3}T^{-2}$.

4.  Power is defined as the energy transferred per unit time.

• SI unit of power is watt and in basic units, it is given by $kg . m^{2} .s^{-3}$.

• Hence, the dimensional formula is $ML^{2}T^{-3}$.

Therefore, the quantities with the given dimensions are intensity, coefficient of viscosity, gravitational constant and  power.