Are these practice questions for Units And Measurement based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 11 - Science Physics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Units And Measurement free?

Yes. Every chapter includes free practice questions for Class 11 - Science students to get you started.

What types of questions are included?

The practice set for Units And Measurement mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Units And Measurement for full coverage.

How many practice questions are there for Units And Measurement?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Units And Measurement Class 11 Physics Practice Questions with Answers

easy

Recall the SI unit and symbol for luminous intensity.

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easy

List the seven fundamental quantities in the SI system.

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easy

Define the term 'dimensional formula'.

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easy

A rectangular metal sheet has a length of

4.35

m and a width of

1.25

m. Calculate the area of the sheet and express the result with the correct number of significant figures.

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easy

A student reports the area of a circle with radius measured as

2.1 \text{ cm}

to be

13.8544 \text{ cm}^2

. Justify why this reported value is scientifically inappropriate.

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easy

Analyze the number

0.004500 \text{ kg}

and state the number of significant figures it contains. Justify your answer based on the rules for significant figures.

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easy

Examine why writing a measurement in scientific notation, such as

4.700 \times 10^3

m instead of

4700

m, is a better way to represent the number of significant figures.

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easy

Critique the expression

E = mc^2 + v

, where

E

is energy,

m

is mass,

c

is the speed of light, and

v

is velocity, based on the principle of homogeneity of dimensions.

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easy

Define a base unit in the context of a system of units.

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easy

A student calculates the volume of a sphere. The radius is measured as

2.51 \text{ cm}

. The student reports the volume as

66.2356 \text{ cm}^3

. Justify the correct number of significant figures the final answer should have and provide the correctly rounded-off value.

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easy

Evaluate the statement: 'Changing the system of units from SI to CGS changes the number of significant figures in a measurement.'

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medium

The speed of light in a vacuum is approximately

3.00 \times 10^8 \text{ m/s}

. Apply this value to calculate the distance light travels in one nanosecond (

1 \text{ ns} = 10^{-9} \text{ s}

), expressing the answer in centimeters.

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medium

A car accelerates from rest, covering a distance of

120

m in

5.0

s. Calculate the acceleration of the car, assuming it is constant. Use the equation of motion

s = ut + \frac{1}{2}at^2

and express your answer with the correct number of significant figures.

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medium

Create a new physical quantity called 'Energy Flux' defined as the rate of energy flow per unit area. Formulate its dimensional formula and propose a physical scenario where this quantity would be relevant.

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medium

A student measures three masses as

125.4

g,

23.68

g, and

1.2

g. Calculate the total mass and report the result to the correct number of decimal places.

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medium

Name the physical quantity represented by the dimensional formula

[\text{M L T}^{-2}]

.

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medium

Calculate the volume of a sphere with a radius of

3.20

cm, and express the answer with the correct number of significant figures. The formula for the volume of a sphere is

V = \frac{4}{3} \pi r^3

. Use

\pi = 3.14159

.

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medium

Identify the number of significant figures in the following measurements and explain the rule used for each: (a)

0.050 \text{ cm}

(b)

2.008 \text{ kg}

(c)

5.30 \times 10^4 \text{ J}

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medium

Compare the numbers

4.700

m and

4700

m. Analyze how the number of significant figures differs between them and explain what this difference implies about the precision of the measurements.

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medium

State the convention for rounding off a number if the insignificant digit to be dropped is 5 and the preceding digit is even.

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medium

Justify the statement: 'A dimensionally correct equation is not necessarily a physically correct equation, but a dimensionally incorrect equation must be wrong.' Provide a unique example not found in the source text to support your justification.

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medium

Explain the principle of homogeneity of dimensions and describe its primary application in physics.

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medium

The pressure

P

of an ideal gas is found to depend on its density

\rho

and the root mean square velocity

v

of its molecules. Formulate a possible relation between

P

,

\rho

, and

v

using the method of dimensional analysis.

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medium

Examine the following set of formulas for kinetic energy (

K

). Apply dimensional analysis to identify which ones are dimensionally incorrect. (Here,

m

is mass,

v

is velocity, and

a

is acceleration). (a)

K = m^2v

(b)

K = ma

(c)

K = \frac{1}{2}mv^2 + ma

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medium

The viscous force

F

on a spherical object moving through a fluid depends on the coefficient of viscosity

\eta

, the radius of the sphere

r

, and its velocity

v

. Formulate the relationship between these quantities using dimensional analysis, assuming the relation is of the form

F = k \eta^a r^b v^c

.

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medium

Solve the following expression and present the answer with the correct number of significant figures:

\frac{2.51 \times 10^4 \times 3.2}{0.080}

.

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medium

Describe the CGS, MKS, and FPS systems of units by listing the base units for length, mass, and time in each. Explain why the SI system is considered superior.

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medium

Two lengths are measured as

L_1 = 100.0 \pm 0.1 \text{ cm}

and

L_2 = 1.00 \pm 0.01 \text{ cm}

. Evaluate which measurement has greater precision and justify your reasoning based on relative error.

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medium

Explain the difference between fundamental units and derived units, providing one example for each.

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medium

Analyze the statement: 'Dimensional analysis can prove that an equation is physically correct.' Is this statement true or false? Justify your answer with an example.

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medium

Evaluate the dimensional consistency of the equation for the period of a torsional pendulum,

T = 2\pi \sqrt{\frac{I}{C}}

. The term

I

is the moment of inertia with dimensions

[\text{ML}^2]

, and

T

is the time period. Propose the dimensional formula for the torsional constant,

C

.

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medium

A physical quantity

X

is defined as

X = \frac{A^2 B^{1/2}}{C^3 D}

. The percentage errors in the measurement of

A, B, C,

and

D

are

1\%

,

2\%

,

3\%

, and

4\%

respectively. Propose a formula to calculate the maximum percentage error in

X

and calculate its value.

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medium

Examine the equation for pressure,

P = h \rho g

, where

h

is the height of a fluid column,

\rho

is its density, and

g

is the acceleration due to gravity. Apply dimensional analysis to demonstrate that this equation is dimensionally consistent.

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medium

A measurement of length is

15.42 \text{ cm}

. Another measurement is

3.1 \text{ cm}

. Recall the rule for addition with significant figures and state the sum of these two lengths.

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hard

Explain why a dimensionally correct equation is not necessarily a physically correct equation. Provide a simple example.

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hard

The time period (

T

) of a simple pendulum is thought to depend on its length (

l

) and the acceleration due to gravity (

g

). Apply the method of dimensions to deduce the relationship between

T

,

l

, and

g

.

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hard

Summarize the rules for performing arithmetic operations with significant figures. Provide one example for multiplication/division and one for addition/subtraction.

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hard

Design a hypothetical system of fundamental units where the speed of light

c

, the gravitational constant

G

, and Planck's constant

h

are chosen as the base units. Formulate the dimensions of length, mass, and time in terms of

[c]

,

[G]

, and

[h]

.

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hard

Design an experiment to determine the density of an irregularly shaped, non-porous solid that is denser than water. Formulate an expression for the maximum possible relative error in the density measurement based on the instruments you choose.

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hard

A student suggests that the formula for the period of a simple pendulum is

T = 2\pi \frac{l}{g}

. The dimensions of time period

T

are

[\text{T}]

, length

l

are

[\text{L}]

, and acceleration due to gravity

g

are

[\text{L T}^{-2}]

. Explain using dimensional analysis why this formula is incorrect.

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hard

A physical quantity

P

is given by the relation

P = \frac{a^3 b^2}{\sqrt{c}d}

. If the percentage errors in the measurement of

a, b, c,

and

d

are

1\%, 2\%, 4\%,

and

2\%

respectively, calculate the total percentage error in

P

.

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hard

Propose a method to determine the number of significant figures in the value of

\pi

required for calculating the circumference of the Earth (

C = 2\pi R

) to a precision of

1

meter, given the Earth's radius

R = 6.4 \times 10^6 \text{ m}

.

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hard

A student proposes a new system of fundamental units where the unit of force is 'Newtonia' (

F

), the unit of velocity is 'Velocia' (

V

), and the unit of time is 'Timon' (

T

). Critique this choice of base quantities and formulate the dimensional formula for mass in this new system.

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hard

Describe how the modern SI units for mass (kilogram) and time (second) are defined. Recall the names of the fundamental constants used in their definitions.

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hard

The escape velocity (

v_e

) from a planet's surface is given by the formula

v_e = \sqrt{\frac{2GM}{R}}

, where

G

is the gravitational constant,

M

is the mass of the planet, and

R

is its radius. Apply dimensional analysis to verify the consistency of this formula.

Try solving it in your notebook first, then check the solution.

Units And MeasurementClass 11 Physics Practice Questions