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If velocity $p$ , acceleration $q$ and density $r$ are taken as fundamental quantities, then the dimensional formula for kinetic energy $k$ is

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Important Questions on Units and Measurements

MEDIUM

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

Which of the following combinations has the dimension of electrical resistance

(ϵ_{0}

is the permittivity of vacuum and

μ_{0}

is the permeability of vacuum)?

MEDIUM

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

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

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

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

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

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

MEDIUM

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

The dimensions of Stefan-Boltzmann constant

σ

can be written in terms of Planck's constant

h

, Boltzmann constant

k_{B}

and the speed of light c as

σ = h^{α} {(k_{B})}^{β} c^{γ}

. Here

EASY

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

Given,

B

is magnetic field induction, and

μ_{0}

is the magnetic permeability of vacuum. The dimension of

\frac{B^{2}}{2 μ_{0}}

is:

MEDIUM

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

S I

units, the dimensions of

\sqrt{\frac{ϵ_{0}}{μ_{0}}}

is:

MEDIUM

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

1 Pound = ________ Ounces.

EASY

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

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

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

Pressure is measured terms of:

1. Mass and Density

2. Work Done

3. Force and Area

4. Force and Distance

EASY

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

What is the SI unit of Voltage?

MEDIUM

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

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

μ_{0}

can be expressed in units of:

EASY

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

Average power equals to _____:

EASY

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

A quantity

f

is given by

f = \sqrt{\frac{h c^{5}}{G}}

where

c

is speed of light,

G

universal gravitational constant and

h

is the Planck’s constant. Dimension of

f

is that of:

MEDIUM

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

For a family, there are 150 units consumption of energy, what is the value of this consumption in Joule?

EASY

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

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:

MEDIUM

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

What is the unit of conductance?

EASY

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

What is the SI unit of Pressure?

HARD

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

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 = G^{α} M^{β} c^{7} .

Here-

EASY

Physics>Mechanics>Units and Measurements>Dimensional Formulae and Equations

Let $[\in_{0}]$ denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then :

If velocity p, acceleration q and density r are taken as fundamental quantities, then the dimensional formula for kinetic energy k is

Important Questions on Units and Measurements

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If velocity $p$ , acceleration $q$ and density $r$ are taken as fundamental quantities, then the dimensional formula for kinetic energy $k$ is