EASY
Earn 100

Which of the following pairs of physical quantities possess same dimension?

50% studentsanswered this correctly

Important Questions on Units and Measurements

MEDIUM
Which of the following combinations has the dimension of electrical resistance (ϵ0 is the permittivity of vacuum and μ0 is the permeability of vacuum)?
MEDIUM
If Surface tension (S), Moment of Inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be:
HARD
Let us consider a system of units in which mass and angular momentum are dimensionless. If the length has a dimension of L, which of the following statement (s) is/are correct?
EASY

What is the unit used to measure distances between celestial objects?

MEDIUM
The dimensions of Stefan-Boltzmann constant σ can be written in terms of Planck's constant h, Boltzmann constant kB and the speed of light c as σ=hαkBβ cγ . Here
EASY
Given, B is magnetic field induction, and μ0 is the magnetic permeability of vacuum. The dimension of B22μ0 is:
MEDIUM
In  SI units, the dimensions of ϵ0μ0 is:
EASY
In the following I refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity:
EASY

Pressure is measured terms of:

1. Mass and Density

2. Work Done

3. Force and Area

4. Force and Distance

MEDIUM
If electronic charge e, electron mass m, speed of light in vacuum c and Planck's constant h are taken as fundamental quantities, the permeability of vacuum μ0 can be expressed in units of:
EASY
A quantity f is given by f=hc5G where c is speed of light, G universal gravitational constant and h is the Planck’s constant. Dimension of f is that of:
MEDIUM
For a family, there are 150 units consumption of energy, what is the value of this consumption in Joule? 
EASY
Amount of solar energy received on the earth's surface per unit area per unit time is defined a solar constant. Dimension of solar constant is:
HARD
The dimensions of the area A of a black hole can be written in terms of the universal gravitational constant G, its mass M and the speed of light c as A=GαMβc7. Here-
EASY

Let 0 denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then :