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If $L, R, C$ and $v$ respectively represent inductance, resistance, capacitance and potential difference, then show that the dimensions of $\frac{L}{R C V}$ are the same as those of ${(current)}^{- 1}$ .

Important Questions on Dimensions of Physical Quantities and Dimensional Analysis

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11th West Bengal Board

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 2 - Dimensions of Physical Quantities and Dimensional Analysis>EXERCISE>Q 14

In a system of units in which the unit of mass is

{}^{'}a^{'}

kg, unit of length is

{}^{'}b^{'}

metre and the unit of time is

{}^{'}c^{'}

second find the magnitude of a calorie in this system.

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11th West Bengal Board

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 2 - Dimensions of Physical Quantities and Dimensional Analysis>EXERCISE>Q 15

To find the distance

d

over which a signal can be seen clearly in foggy conditions, a railways engineer uses dimensional analysis and assumes that the distance depends on the mass density

ρ

of the fog, intensity (power/area)

s

of the light from the signal and its frequency

f

. The engineer finds that

d

is proportional to

\frac{1}{n}

. Find the value of

n

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 2 - Dimensions of Physical Quantities and Dimensional Analysis>EXERCISE>Q 1

Out of the following pairs, which one does not have identical dimensions?

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11th West Bengal Board

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A Text Book of PHYSICS PART I : CLASS 11>Chapter 2 - Dimensions of Physical Quantities and Dimensional Analysis>EXERCISE>Q 2

Identify the pair whose dimensions are equal.

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 2 - Dimensions of Physical Quantities and Dimensional Analysis>EXERCISE>Q 3

Velocity of a particle at an instant

{}^{'}t^{'}

is given by

v = a t + b t^{2}

The dimension of

b

EASY

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 2 - Dimensions of Physical Quantities and Dimensional Analysis>EXERCISE>Q 4

Which two of the following five physical parameters have same dimensions? (i) energy density (ii) refractive index (iii) dielectric constant (iv) Young's modulus (v) magnetic field

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 2 - Dimensions of Physical Quantities and Dimensional Analysis>EXERCISE>Q 5

Dimension of magnetic field in $M, L, T$ and $C$ (Coulomb) is given as:

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11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 2 - Dimensions of Physical Quantities and Dimensional Analysis>EXERCISE>Q 6

The velocity

v

of a particle at time

t

is given by

v = a t + \frac{b}{t + c}

where

a

b

and

c

are constants .The dimensions of

a

b

and

c

are respectively

If L, R, C and v respectively represent inductance, resistance, capacitance and potential difference, then show that the dimensions of LRCV are the same as those of current-1.

Important Questions on Dimensions of Physical Quantities and Dimensional Analysis

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If $L, R, C$ and $v$ respectively represent inductance, resistance, capacitance and potential difference, then show that the dimensions of $\frac{L}{R C V}$ are the same as those of ${(current)}^{- 1}$ .