Home
Class 12
PHYSICS
If pressure P, velocity V and time T are...

If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force if

A

`PV^-2T^2`

B

`P^-1V^2T^-2`

C

`PVT^2`

D

`P^-1VT^2`

Text Solution

Verified by Experts

The correct Answer is:
A
Let `Fpropp^xV^yT^z`
by subsituting the following dimensions:
`[P]=[ML^-1T^-2][V]=[LT^-1]`,`[T]=[T]`
and comparing the dimension of both sides
`x=1`,`y=2`,`z=2`, so `F=PV^2T^2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise subjective type|51 Videos

  • CENGAGE PHYSICS DPP

    CENGAGE PHYSICS ENGLISH|Exercise Multiple correct Answer Type|54 Videos

  • CAPACITOR AND CAPACITANCE

    CENGAGE PHYSICS ENGLISH|Exercise Integer|5 Videos

  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise Single Answer Correct Type|22 Videos

Similar Questions

Explore conceptually related problems

If pressure P, velocity V and Time T are taken as fundamental physical quantities the dimensional formula of the force is

A fundamental physical quantity

The dimensional formula of pressure is

The dimensional formula of pressure is

If energy E , velocity v and time T are taken as fundamental quanties, the dimensional formula for surface tension is

Name Any four fundamental physical quantities.

Thd dimensional formula of pressure is

If energy (E ) , velocity (V) and time (T) are chosen as the fundamental quantities , the dimensions formula of surface tension will be

If force F , acceleration a, and time T are taken as the fundamental physical quantities , the dimensions of length on this systemof units are

If "force" F, "length" L and "time T" are taken as fundamental units , the dimensional formula of mass will be

Home
Profile