Question

Define dimension of a physical quantity.state the dimensions of the following physical quantites.1)Density 2)Force 3)work 4)Pressure 5)Velocity

Answer 1

1)Dimensions of ĐÈŃŚÍŤŸ

✔mass÷volume=M/L^3

2)Dimensions of FóŔČÉ

✔ML/T^2

3)Dimension of work

✔ML^2/T^2

4)Dimension of pressure

✔M/LT^2

5)Dimension of velocity

✔L/T

Answer 2

( 1) density = mass / volume

= M / L^3 = M L ^-3

S.I unit - kg m^-3 , or

C.G.S unit - g m ^-3

(2) force = mass × acceleration

= M × L T^-2 = M L T^-2

S.I unit -Newton or Kg m s^-2

C.G.S unit - dyne or g m s^-2

(3) work = force × length.

= M L T^-2 × L = M L^2 T^-2

S.I unit = Joule or Kg m^2 s^-2

C .G .S unit - erg or g m^2 s^-2

( 4) pressure= force / area

= M L T^-2 / L^2 = M L^-1 T^-2

S.I unit - Pascal or kg m^-1 s^-2

(5) velocity - distance / time

= L / T

= L T ^-1

unit - m s^-1

【 hope helps 】