The dimensions of angular momentum, latent heat and capacitance are, respectively.

M L^{2} T^{1} A^{2}, L^{2} T^{- 2} M^{- 1} L^{- 2} T^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

M L T^{2}, L^{2} T^{2}, M^{- 1} L^{- 2} T^{4} A^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

M L^{2} T^{- 1}, L^{2} T^{- 2}, M L^{2} T A^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

M L^{2} T^{- 1}, L^{2} T^{- 2}, M^{- 1} L^{- 2} T^{4} A^{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $M L^{2} T^{- 1}, L^{2} T^{- 2}, M^{- 1} L^{- 2} T^{4} A^{2}$
For angular momentum:
$[L] = m v r = [M L^{2} T^{- 1}]$

The latent heat:
Latent Heat $= \frac{Q}{m} = [L^{2} T^{- 2}]$

The capacitance is given as:
$[C] = \frac{q}{V} = \frac{q^{2}}{W}$

$\frac{A T A T}{M L^{2} T^{- 2}} = [M^{- 1} L^{- 2} T^{4} A^{2}]$ .

Suggest Corrections

Similar questions

Q. In the ideal gas equation

P V = n R T

, dimensional formula of

R

Q. Kinetic energy of a comet moving in space is given by

k = \frac{α m}{s^{2}}

(where m is the mass of comet, and s is the distance travelled by comet. Determine dimensions of

α .

Q. Match the Column I with Column II.

	Column I (Physical quantity)		Column II (Dimensional formula)
(A)	Premittivity of free space	(p)	$[M^{0} L^{0} T^{- 1}]$
(B)	Radiant flux	(q)	$[M L^{3} T^{- 3} A^{- 2}]$
(C)	Resistivity	(r)	$[M L^{2} T^{- 3}]$
(D)	Hubble constant	(s)	$[M^{- 1} L^{- 3} T^{4} A^{2}]$

M^{- 1} L^{- 2} T^{3} θ^{1}

are the dimensions of :

The frequency $ν$ of the radiation emitted by an atom when an electron jumps from one orbit to another is given by $ν = k δ E$ , where k is a constant and $δ E$ is the change in energy level due to the transition. Then dimension of $k$ is

Join BYJU'S Learning Program

The dimensions of angular momentum, latent heat and capacitance are, respectively.

The correct option is D ML2T−1,L2T−2,M−1L−2T4A2For angular momentum:[L]=mvr=[ML2T−1]The latent heat:Latent Heat =Qm=[L2T−2]The capacitance is given as:[C]=qV=q2W ATATML2T−2=[M−1L−2T4A2].