Force $(F)$ and density $(d)$ are related as $F\, = \,\frac{\alpha }{{\beta \, + \,\sqrt d }}$ then dimension of $\alpha $ are
Force $(F)$ and density $(d)$ are related as $F\, = \,\frac{\alpha }{{\beta \, + \,\sqrt d }}$ then dimension of $\alpha $ are
- A
$[{M^{3/2}}\,{L^{ - 1/2}}\,{T^{ - 2}}]$
- B
$[{M^{3/2}}\,{L^{ 1/2}}\,{T^{ 2}}]$
- C
$[{M^{3/2}}\,{L^{ - 1/2}}\,{T^{2}}]$
- D
$[{M^{-3/2}}\,{L^{ - 1/2}}\,{T^{ 2}}]$
Similar Questions
If velocity of light $c$, Planck’s constant $h$ and gravitational constant $G$ are taken as fundamental quantities, then express 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 time in terms of dimensions of these quantities.
Which of the following quantities is dimensionless
Which of the following quantities is dimensionless
Dimensional formula for angular momentum is
Dimensional formula for angular momentum is
- [IIT 1983]
Dimensional formula for torque is
Dimensional formula for torque is
- [IIT 1983]
The de-Broglie wavelength associated with a particle of mass $m$ and energy $E$ is $\mathrm{h} / \sqrt{2 m E}$ The dimensional formula for Planck's constant is:
The de-Broglie wavelength associated with a particle of mass $m$ and energy $E$ is $\mathrm{h} / \sqrt{2 m E}$ The dimensional formula for Planck's constant is:
- [JEE MAIN 2024]