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JEE • PHYSICS • UNITS & MEASUREMENTS

Units & measurements practice · Easy

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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Showing 1-30 of 99 questions
1 Easy
1 of 99
Analyzing +4 | -1
Assertion :  Modulus of elasticity  Density \sqrt{\frac{\text { Modulus of elasticity }}{\text { Density }}} has the unit ms−1. \mathrm{ms}^{-1} \text {. }

Reason: Acceleration has the dimensions of 1(ε0μ0)t. \frac{1}{\left(\sqrt{\varepsilon_0 \mu_0}\right) t} \text {. }
View answer and explanation
Correct option: B
If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
Option B (If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion) is correct because both statements are true, but the reason does not explain the assertion.
2 Easy
2 of 99
Understanding +4 | -1
Statement-I: Dimensions of constant of proportionality of constants can be derived from dimensional method
Statement-II: Numerical value of constant of proportionality can be found from experiments only
View answer and explanation
Correct option: A
Statement-I is true and statement-II is true
Option A (Statement-I is true and statement-II is true) is correct because dimensional analysis can derive the dimensions of proportionality constants, but their numerical values require experimental determination.
3 Easy
3 of 99
Analyzing +4 | -1
Assertion : The number of significant figures depends on the least count of measuring instrument.

Reason : Significant figures define the accuracy of measuring instrument.
View answer and explanation
Correct option: B
If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
Option B (If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion) is correct because both statements are true, but the reason doesn't directly explain the assertion.
4 Easy
4 of 99
Application +4 | -1
The surface tension of mercury is 32 dyne cm−1\mathrm{c}{\mathrm{m}^{ - 1}}. Its value in SI units is
View answer and explanation
Correct option: A
0.032
Option A (0.032) is correct because the surface tension in SI units is obtained by converting dyne/cm to N/m, resulting in 0.032 N/m.
5 Easy
5 of 99
Remembering +4 | -1
Candela is the unit of
View answer and explanation
Correct option: B
Luminous intensity
Option B (Luminous intensity) is correct because candela is the SI unit of luminous intensity, which measures the amount of light emitted by a source in a particular direction.
6 Easy
6 of 99
Understanding +4 | -1
Which of the following statement(s) is/are incorrect?
View answer and explanation
Correct option: C
Absolute error cannot be negative.
Option Absolute error cannot be negative. is correct because absolute error can be positive or negative, while systematic and random errors are different types of errors, and absolute error is the difference between real and measured values.
7 Easy
7 of 99
Remembering +4 | -1
Light year is a unit of
View answer and explanation
Correct option: C
Distance
Option C (Distance) is correct because a light-year is defined as the distance light travels in one year, making it a unit of distance.
8 Easy
8 of 99
Understanding +4 | -1
Which of the following statement(s) is/are incorrect?
View answer and explanation
Correct option: C
Both light year and wavelength represent time.
Option C is correct because both light year and wavelength have dimensions of length, not time.
9 Easy
9 of 99
Remembering +4 | -1
newton-second is the unit of
View answer and explanation
Correct option: C
Momentum
Option C (Momentum) is correct because Newton-second is the unit of impulse, which is equal to the change in momentum.
10 Easy
10 of 99
Analyzing +4 | -1
Which of the following pairs does not have similar dimensions
View answer and explanation
Correct option: C
Tension and surface tension
Option C (Tension and surface tension) is correct because tension has dimensions of force ([MLT-2]) while surface tension has dimensions of force per unit length ([MT-2]).
11 Easy
11 of 99
Understanding +4 | -1
Statement-I: Electromotive force is expressed in newton.
Statement-II: Electric intensity is expressed in NC−1\mathrm{NC}^{-1}
View answer and explanation
Correct option: C
Statement-I is false and statement-II is true
Statement-I is false, and statement-II is true, making option C the correct choice. Electromotive force is measured in volts (J/C), while electric intensity is measured in N/C.
12 Easy
12 of 99
Analyzing +4 | -1
Which of the following quantities have the same dimensions?
a. Surface tension \quad b. Spring constant \quad c. Tension
View answer and explanation
Correct option: A
a & b
Option A (a & b) is correct because surface tension and spring constant have the same dimensions of MT−2MT^{-2}.
13 Easy
13 of 99
Understanding +4 | -1
Which of the following system of units is not based on units of mass, length and time alone
View answer and explanation
Correct option: A
SI
Option A (SI) is correct because the SI system includes units beyond mass, length, and time, such as electric current (ampere), temperature (kelvin), luminous intensity (candela), and amount of substance (mole).
14 Easy
14 of 99
Application +4 | -1
Each minute earth receives about 2 cal2\, \mathrm{cal} of heat energy per square centimeter from sun. This is called solar constant S\mathrm{S}. the value of solar constant in S.I. unit is
View answer and explanation
Correct option: B
1.4 kWm−21.4\, \mathrm{kWm}^{-2}
Option B (1.4 kWm−21.4\, \mathrm{kWm}^{-2}) is correct because it is the solar constant value after converting from cal/cm2/min\mathrm{cal} / \mathrm{cm}^2 / \mathrm{min} to S.I. units.
15 Easy
15 of 99
Understanding +4 | -1
The unit of L/R is (where L=inductance and R= Resistance)
View answer and explanation
Correct option: A
Sec
Option A (Sec) is correct because the ratio of inductance (L) to resistance (R) has the dimensions of time, hence the unit is seconds.
16 Easy
16 of 99
Understanding +4 | -1
Statement-I: The product of the numerical value and unit of physical quantity remains sarne in every system of unit.
Statement-II: Magnitude of a physical quantity remains same in every system of units.
View answer and explanation
Correct option: A
Statement-I is true and statement-II is true
Option C (Statement-I is false and statement-II is true) is incorrect. Both statements are true. The product of numerical value and unit is constant, and the magnitude of a physical quantity remains the same regardless of the system of units.
17 Easy
17 of 99
Remembering +4 | -1
The dimensions of force are
View answer and explanation
Correct option: C
[MLT−2]\left[\mathrm{MLT}^{-2}\right]
Option C ([MLT-2]) is correct because it represents the dimensional formula for force, derived from Newton's second law (F = ma).
18 Easy
18 of 99
Understanding +4 | -1
What is the dimensions of impedance?
View answer and explanation
Correct option: A
ML2 T−3I−2\mathrm{ML}^2 \mathrm{~T}^{-3} \mathrm{I}^{-2}
Option A (ML2 T−3I−2\mathrm{ML}^2 \mathrm{~T}^{-3} \mathrm{I}^{-2}) is correct because impedance has the same dimensions as resistance, which can be derived from Ohm's law and the definition of power.
19 Easy
19 of 99
Remembering +4 | -1
The unit of e.m.f. is
View answer and explanation
Correct option: D
Joule/coulomb
Option D (Joule/coulomb) is correct because the unit of electromotive force (e.m.f.) is Volt, which is equivalent to Joule per Coulomb.
20 Easy
20 of 99
Application +4 | -1
If G\mathrm{G} be the gravitational constant and u\mathrm{u} be the energy density then which of the following quantity have the dimension as that the uG:\sqrt{\mathrm{uG}}:
View answer and explanation
Correct option: B
Force per unit mass
Option B (Force per unit mass) is correct because the dimensions of uG\sqrt{{uG}} match the dimensions of force per unit mass.
21 Easy
21 of 99
Understanding +4 | -1
Which of the two have same dimensions
View answer and explanation
Correct option: C
Angular velocity and frequency
Option C is correct because angular velocity and frequency both have the dimension of inverse time ([T⁻¹]).
22 Easy
22 of 99
Understanding +4 | -1
The division of energy by time is X. The dimensional formula of X is same as that of
View answer and explanation
Correct option: B
power
Option B (power) is correct because power is defined as energy divided by time, so X represents power.
23 Easy
23 of 99
Remembering +4 | -1
Dimension of electric current is
View answer and explanation
Correct option: A
[M0L0T−1Q]\left[ {{M^0}{L^0}{T^{ - 1}}Q} \right]
Option A ([M0L0T−1Q]\left[ {{M^0}{L^0}{T^{ - 1}}Q} \right]) is correct because electric current is defined as the rate of flow of charge, hence its dimension is charge per time.
24 Easy
24 of 99
Remembering +4 | -1
Ampere-hour is a unit of
View answer and explanation
Correct option: A
Quantity of electricity
Option A (Quantity of electricity) is correct because Ampere-hour is the unit of electric charge, which represents the quantity of electricity.
25 Easy
25 of 99
Remembering +4 | -1
In which of the following systems of units, a Weber is the unit of magnetic flux?
View answer and explanation
Correct option: C
SI
Option C (SI) is correct because the Weber (Wb) is the standard unit of magnetic flux in the International System of Units (SI).
26 Easy
26 of 99
Application +4 | -1
What is the dimensional formula of ab−1\text{ab}^{-1} in the equation (P+aV2)(V−b)=RT,\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}, where letters have their usual meaning.
View answer and explanation
Correct option: B
[ML2T−2]\left[\mathrm{ML}^2 \mathrm{T}^{-2}\right]
Option A (6.5×103 Nm−2;8%6.5 \times 10^3 \mathrm{~Nm}^{-2}; 8 \%) is correct because it calculates the pressure difference using the weight of the aircraft and estimates the fractional increase in air speed using Bernoulli's principle.
27 Easy
27 of 99
Understanding +4 | -1
Which of the following represents a volt
View answer and explanation
Correct option: B
Watt/ampere
Option B (Watt/ampere) is correct because volt is defined as the ratio of power (in watts) to current (in amperes) according to the formula V = W/A.
28 Easy
28 of 99
Application +4 | -1
Taking into account the significant figures, what should be the value of 9.99 + 0.0099?
View answer and explanation
Correct option: D
10
Option B (10) is correct because when adding numbers, the result should be rounded to the least precise decimal place, which is the hundredths place in this case.
29 Easy
29 of 99
Understanding +4 | -1
If h is plank’s constant and λ\lambda is the wave length, hλ\frac{h}{\lambda } has the dimensions of
View answer and explanation
Correct option: B
momentum
Option B is correct because hλ\frac{h}{\lambda} has the dimensions of momentum (mass x velocity).
30 Easy
30 of 99
Understanding +4 | -1
Assertion: In the measurement of physical quantities direct and indirect methods are used.

Reason : The accuracy and precision of measuring instruments along with errors in measurements should be taken into account, while expressing the result.
View answer and explanation
Correct option: A
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
Option A (If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion) is correct because accurate measurement requires considering instrument precision and errors.
Revision notes and key takeaways

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Key Takeaways

  • ✓ This set contains 99 single-correct-answer MCQs on UNITS & MEASUREMENTS.
  • ✓ Try each question before opening its answer. Read the explanation where one is available.
  • ✓ Sign in to save submitted answers. Revisit incorrect answers alongside your textbook or class notes.
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