$ML{T^{ - 1}}$ represents the dimensional formula of
$ML{T^{ - 1}}$ represents the dimensional formula of
- A
Power
- B
Momentum
- C
Force
- D
Couple
Similar Questions
If velocity of light $c$, Planck’s constant $h$ and gravitational constant $G$ are taken as fundamental quantities, then express mass, length and time in terms of dimensions of these quantities.
If velocity of light $c$, Planck’s constant $h$ and gravitational constant $G$ are taken as fundamental quantities, then express mass, length and time in terms of dimensions of these quantities.
Match List$-I$ with List$-II.$
List$-I$
List$-II$
$(a)$ Torque
$(i)$ ${MLT}^{-1}$
$(b)$ Impulse
$(ii)$ ${MT}^{-2}$
$(c)$ Tension
$(iii)$ ${ML}^{2} {T}^{-2}$
$(d)$ Surface Tension
$(iv)$ ${MI} {T}^{-2}$
Choose the most appropriate answer from the option given below :
Match List$-I$ with List$-II.$
| List$-I$ | List$-II$ |
| $(a)$ Torque | $(i)$ ${MLT}^{-1}$ |
| $(b)$ Impulse | $(ii)$ ${MT}^{-2}$ |
| $(c)$ Tension | $(iii)$ ${ML}^{2} {T}^{-2}$ |
| $(d)$ Surface Tension | $(iv)$ ${MI} {T}^{-2}$ |
Choose the most appropriate answer from the option given below :
- [JEE MAIN 2021]
A massive black hole of mass $m$ and radius $R$ is spinning with angular velocity $\omega$. The power $P$ radiated by it as gravitational waves is given by $P=G c^{-5} m^{x} R^{y} \omega^{z}$, where $c$ and $G$ are speed of light in free space and the universal gravitational constant, respectively. Then,
A massive black hole of mass $m$ and radius $R$ is spinning with angular velocity $\omega$. The power $P$ radiated by it as gravitational waves is given by $P=G c^{-5} m^{x} R^{y} \omega^{z}$, where $c$ and $G$ are speed of light in free space and the universal gravitational constant, respectively. Then,
- [KVPY 2017]
Write and explain principle of homogeneity. Check dimensional consistency of given equation.
Write and explain principle of homogeneity. Check dimensional consistency of given equation.
The dimensions of power are
The dimensions of power are