Physics · JEE

Dimensions of Physics quantities, dimensional analysis and its applications Mock Test for JEE

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Syllabus context

Part of Units and Measurements in JEE Main Physics.

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Q1PhysicsUnit 1: Units and Measurements

If the units of length and force are increased four times, then unit of energy will

Q2PhysicsUnit 1: Units and Measurements

The dimensions of energy per unit volumes are the same as those of :

Q3PhysicsUnit 1: Units and Measurements

Which of the following units denotes the dimensions

M L^{2} / Q^{2},

where

Q

denotes the electric charge?

Q4PhysicsUnit 1: Units and Measurements

Multiple Correct Answers Type Which of the following pairs has/have the same dimensions? This question has multiple correct options

Q5PhysicsUnit 1: Units and Measurements

If the dimension of a physical quantity is given by

\left[M^{a} L^{b} T^{c}\right]

then the physical quantity will be

Q6PhysicsUnit 1: Units and Measurements

The equation of a plane progressive wave is given by

\boldsymbol{y}=\boldsymbol{A} \sin (\boldsymbol{\omega} \boldsymbol{t}-\boldsymbol{k} \boldsymbol{x})

The dimension of

(\omega / k)

is that of

Q7PhysicsUnit 1: Units and Measurements

Classical physics is applicable to the

Q8PhysicsUnit 1: Units and Measurements

Pressure is a scalar quantity because

Q9PhysicsUnit 1: Units and Measurements

If the unit of length is doubled and that of mass and time is halved, the unit of energy will be :

Q10PhysicsUnit 1: Units and Measurements

A scientific way of doing things involve

Q11PhysicsUnit 1: Units and Measurements

The most basic rule of dimensional analysis is that of dimensional homogeneity. Only commensurable quantities may be

Q12PhysicsUnit 1: Units and Measurements

A metal oxide has the formula

M_{2} O_{3}

. It can be reduced by

\boldsymbol{H}_{2}

to give free metal and water.

0.15 \%

g of

M_{2} O_{3}

required 6 mg of

\boldsymbol{H}_{2}

for complete reduction. The atomic mass of the metal is:

Q13PhysicsUnit 1: Units and Measurements

Which of the following pair of quantities do not have the same dimensions?

Q14PhysicsUnit 1: Units and Measurements

Which of the following is correct for dimensionless quantity?

Q15PhysicsUnit 1: Units and Measurements

\bar{A}

and

\bar{B}

two different physical quantities, Which of the following mathematical operations is/are valid.

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