Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

JEE Main 201610 AprilOnline

Exam: JEE Main
Year: 2016
Date: 10 April
Mode: Online
Subject: Physics
Chapter: Units and Dimensions

JEE Main 2016 · 10 April · Online · Physics · Units and Dimensions

A, B, C , and D are four different physical quantities having...

A, B, C

, and

D

are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation

AD = Cln( BD )

holds true. Then which of the combination is not a meaningful quantity?

Options

A $\dfrac{C}{BD} - \dfrac{{A}^{2}{D}^{2}}{C}$
B ${A}^{2} - {B}^{2}{C}^{2}$
C $\dfrac{A}{B} - C$
D $\dfrac{{A}^{2} - AC}{D}$

Correct answer

D. $\dfrac{{A}^{2} - AC}{D}$

Step-by-step solution

The dimension of

A

is not equal to the dimension of

C

Hence it is not possible to subtract

AC

from

{A}^{2}

Practice Units and Dimensions on Quantrex Academy →

More from Units and Dimensions

In a new system of units, the units of mass, length, time and current are 5 kg, 5 m, 5 s… JEE Advanced 2026 A new unit (α) of length is chosen such that it is equal to the speed of light in vacuum.… JEE Main 2026 Consider the equation H = (x^p ε^q E^r)/(t^s) , where H= magnetic field; E= electric… JEE Main 2026 The percentage error in the calculated volume of a sphere, if there is 2\% error in its… JEE Main 2026 Match List - I with List - II. List - I List - II A. Boltzmann constant I. [M^ -1 L^3T^… JEE Main 2026 The potential energy of a particle changes with distance x from a fixed origin as V = A x… JEE Main 2026 Match List-I with List-II. List-I List-II A. Meter (L) I. (hc)/(G) B. Second (S) II.… JEE Main 2026 L , C and R represents physical quantities inductance, capacitance and resistance… JEE Main 2026 Full Units and Dimensions list All JEE Main PYQs