Home
Class 11
PHYSICS
If momentum (p), area (A) and time(t) ar...

If momentum `(p)`, area `(A)` and time`(t) `are taken to be fundamental quantities then energy has the dimensional formula

A

`[pA^(1//2)T^(-1)]`

B

`[pA^(-1//2)T^(1)]`

C

`[p^(2)AT]`

D

`[pA^(-1)T]`

Text Solution

Verified by Experts

The correct Answer is:
A
Energy = Force `×` Length
`=("change in momentum")/("time")xxsqrt("area")=[pA^(1//2)A^(-1)]`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIMENSIONS AND MEASUREMENT

    CBSE COMPLEMENTARY MATERIAL|Exercise NUMERICALS|20 Videos

  • ANNUAL EXAM.-2018-19

    CBSE COMPLEMENTARY MATERIAL|Exercise Questions|34 Videos

  • GRAVITATION

    CBSE COMPLEMENTARY MATERIAL|Exercise MULTIPLE CHOICE QUESTIONS|19 Videos

Similar Questions

Explore conceptually related problems

Time is a fundamental quantity

Time is a fundamental quantity

Knowledge Check

  • If momentum (P) , area (A) and time (7) are taken to be fundamental quntities, then power has the dimensional formula.

    A
    `(P^(1)A^(-1)T^(1))`
    B
    `(P^(2)A^(1)T^(1))`
    C
    `(P^(1)A^(-1//2)T^(1))`
    D
    `(P^(1)A^(1//2)T^(-2))`

  • If momentum P, area A and time T are selected as fundamental quantities then energy has the dimensional formula

    A
    `[P^(2)A^(2)T^(-1)]`
    B
    `[P^(-1)A^(-1//2)T^(1)]`
    C
    `[P^(1)A^(1//2)T^(-1)]`
    D
    `[P^(-2)A^(-2)T^(1)]`

  • If momentum (P), area (A) and time (T) are assumed to be formula :

    A
    `[PTA^(-1//2)]`
    B
    `[PT^(-1) A^(1//2)]`
    C
    `[P^(2)T^(-1)A]`
    D
    `[PTA^(-1)]`

    • Similar Questions

    Explore conceptually related problems

    V is the volume of a liquid flowing per second through a capillary tube of length l and radius r, under a pressure difference (p). If the velocity (v), mass (M) and time (T) are taken as the fundamental quantities, then the dimensional formula for eta in the relation V=(pipr^(4))/(8etal)

    If the energy (E), velocity (v) and force (F) are taken as fundamental quantities, then what is the dimensional formula for mass?

    If momentum (P), area (A), time (T) and temperature (theta) are assumed to be fundamental quantities, then thermal capacity has dimensional formula

    If momentum (p) , Mass (M) , Time (T) are chosen as fundamental quantites then the dimensional formula for length is..........

    In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units, then the dimensional formula of energy is

    Home
    Profile