Names of units of some physical quantities are given in List - I and their dimensional formulae are given in List - II. Match the correct pair of the lists.
List - I List - II
a) Pa-s e) $[L^{2} T^{- 2} K^{- 1}]$
b) ${N m K}^{- 1}$ f) ${M L T}^{- 3} K^{- 1}$
c) ${J k g}^{- 1} k^{- 1}$ g) ${M L}^{- 1} T^{- 1}$
d) ${W m}^{- 1} k^{- 1}$ h) $[{M L}^{2} T^{- 2} K^{- 1}]$

a-h, b-g, c-e, d-f

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

a-g, b-f, c-e, d-h

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

a-g, b-e, c-h, d-f

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

a-g, b-h, c-e, d-f

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

Open in App

Solution

The correct option is D a-g, b-h, c-e, d-f
$P a - s = M^{1} L^{- 1} T^{- 2} \times T^{1} = M L^{- 1} T^{- 1}$
$N m k = M^{1} L^{1} T^{- 2} \times L^{1} \times K^{1} = M^{1} L^{2} T^{- 2} K^{- 1}$
$J k g^{- 1} K^{- 1} = M L^{2} T^{- 2} M^{- 1} K^{- 1} = M^{0} L^{2} T^{- 2} K^{- 1}$
$W m^{- 1} K^{- 1} = M L^{2} T^{- 3} L^{- 1} K^{- 1} = M L T^{- 3} K^{- 1}$
Hence option D is correct.

Suggest Corrections

Similar questions

Q. Some physical constants are given in List - I and their dimensional formulae are given in List - II. Match the following :

List - I	List - II
A) Planck's constant	e) $[{M L}^{- 1} T^{- 2}]$
B) Gravitational constant	f) $[{M L}^{1} T^{- 1}]$
C) Bulk modulus	g) $[{M L}^{2} T^{- 1}]$
D) Linear momentum	h) $[M^{- 1} L^{3} T^{- 2}]$

Q. Match the following physical quantities with their respective dimensional formula:

(a) Angular Momentum	(e) $[{M L}^{2} T^{- 3}]$
(b) Impulse	(f) $[{M L}^{2} T^{- 1}]$
(c) Pressure	(g) $[M L T^{- 1}]$
(d) Power	(h) $[{M L}^{- 1} T^{- 2}]$

Match the items in the second list with corresponding items from the first list

$\begin{matrix} L i s t I & L i s t I I (A) & V a r i a t i o n o f g w i t h h e i g h t (f o r a n y h e i g h t) & e & g^{'} = g (1 - \frac{2 h}{R}) (B) & V a r i a t i o n o f g w i t h h e i g h t (f o r s m a l l h e i g h t s h << R) & f & \frac{G M}{R^{2}} (C) & V a r i a t i o n o f g w i t h d e p t h & g & g^{'} = \frac{g R^{2}}{(R + h)^{2}} (D) & g o n t h e s u r f a c e o f t h e p l a n e t & h & g^{'} = g (1 - \frac{d}{R}) \end{matrix}$

Match List I and List II

List-I List-II

a) Barometer e) Charles law

b) specific gas constant f) Jmole $^{- 1}$ K $^{- 1}$

c) gas thermometer g) Boyels law

d) universal gas constant h) JKg $^{- 1}$ K $^{- 1}$

Q. If a:b = c:d, and e:f = g:h, then (ae+bf):(ae-bf)=?

Join BYJU'S Learning Program

List - I	List - II
a) Pa-s	e) $[L^{2} T^{- 2} K^{- 1}]$
b) ${N m K}^{- 1}$	f) ${M L T}^{- 3} K^{- 1}$
c) ${J k g}^{- 1} k^{- 1}$	g) ${M L}^{- 1} T^{- 1}$
d) ${W m}^{- 1} k^{- 1}$	h) $[{M L}^{2} T^{- 2} K^{- 1}]$

Names of units of some physical quantities are given in List - I and their dimensional formulae are given in List - II. Match the correct pair of the lists.List - IList - IIa) Pa-se) [L2T−2K−1]b) NmK−1f) MLT−3K−1c) Jkg−1k−1g) ML−1T−1d) Wm−1k−1h) [ML2T−2K−1]

The correct option is D a-g, b-h, c-e, d-fPa−s=M1L−1T−2×T1=ML−1T−1Nmk=M1L1T−2×L1×K1=M1L2T−2K−1Jkg−1K−1=ML2T−2M−1K−1=M0L2T−2K−1Wm−1K−1=ML2T−3L−1K−1=MLT−3K−1Hence option D is correct.