1
JEE Main 2021 (Online) 31st August Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Which of the following equations is dimensionally incorrect?

Where t = time, h = height, s = surface tension, $$\theta$$ = angle, $$\rho$$ = density, a, r = radius, g = acceleration due to gravity, v = volume, p = pressure, W = work done, T = torque, $$\in$$ = permittivity, E = electric field, J = current density, L = length.
A
$$v = {{\pi p{a^4}} \over {8\eta L}}$$
B
$$h = {{2s\cos \theta } \over {\rho rg}}$$
C
$$J = \in {{\partial E} \over {\partial t}}$$
D
$$W = \Gamma \theta $$
2
JEE Main 2021 (Online) 27th August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Match List - I with List - II.

List - I List - II
(a) $${R_H}$$ (Rydberg constant) (i) $$kg\,{m^{ - 1}}{s^{ - 1}}$$
(b) h (Planck's constant) (ii) $$kg\,{m^2}{s^{ - 1}}$$
(c) $${\mu _B}$$ (Magnetic field energy density) (iii) $$\,{m^{ - 1}}$$
(d) $$\eta $$ (coefficient of viscocity) (iv) $$kg\,{m^{ - 1}}{s^{ - 2}}$$


Choose the most appropriate answer from the options given below :
A
(a)-(ii), (b)-(iii), (c)-(iv), (d)-(i)
B
(a)-(iii), (b)-(ii), (c)-(iv), (d)-(i)
C
(a)-(iv), (b)-(ii), (c)-(i), (d)-(iii)
D
(a)-(iii), (b)-(ii), (c)-(i), (d)-(iv)
3
JEE Main 2021 (Online) 27th August Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density :
A
[FL$$-$$4T2]
B
[FL$$-$$3T2]
C
[FL$$-$$5T2]
D
[FL$$-$$3T3]
4
JEE Main 2021 (Online) 27th August Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Which of the following is not a dimensionless quantity?
A
Relative magnetic permeability ($$\mu$$r)
B
Power factor
C
Permeability of free space ($$\mu$$0)
D
Quality factor
JEE Main Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12