Student Login

Home›Chapters›Units, Dimensions and Measurement PYQs›Applications of Dimensional Analysis›Question 64

JEE Main 2017 (8 Apr, Shift 1) · Applications of Dimensional Analysis

Applications of Dimensional Analysis question from JEE Main 2017 (8 Apr, Shift 1)

Q64JEE Main 2017 · 8 APR · SHIFT 1Easy

Applications of Dimensional Analysis

Time (T), velocity (C) and angular momentum (h) are chosen as fundamentalquantities instead of mass, length and time. In terms of these, the dimensions of mass would be:

Show answer and solution

Answer: (a)

Angular momentum $h = mvr$ with $r = CT$ , so $h = M C^2 T$ .
$M = h\,C^{-2}T^{-1}$ .
So the answer is (a) $[M] = [T^{-1}C^{-2}h]$ .

Report a mistake

More questions on Applications of Dimensional Analysis

A physical quantity of the dimensions of length that can be formed out of c, G and…NEET 2017
A, B, C and D are four different physical quantities having different dimensions. None of…JEE Main 2016 (10 Apr, Shift 1 (one Or More Correct))
Planck's constant (h), speed of light in vacuum (c) and Newton's gravitional constant (G)…NEET 2016 (Phase 2)
If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the…NEET 2015 (AIPMT, Cancelled Paper)
If electronic charge e, electron mass m, speed of light in vacuum c and Planck's constant…JEE Main 2015 (11 Apr, Shift 1)
If the capacitance of a nanocapacitor is measured in terms of a unit 'u' made by…JEE Main 2015 (10 Apr, Shift 1)
If dimensions of critical velocity v c of a liquid flowing through a tube are expressed…NEET 2015 (AIPMT)
A beaker contains a fluid of density ρ kg / m3, specific heat S J/kgoC and viscosity η…JEE Main 2015 (11 Apr, Shift 1)