Physics And Measurement JEE Mains Questions - List Of Most Asked Questions With Solutions

NTA will shortly release the JEE Main Syllabus 2025 at jeemain.nta.ac.in. Last Year, the complete syllabus of JEE Main underwent some major changes. According to the latest syllabus guidelines, the weightage of Physics has dropped to 22.5%. Due to these changes in the syllabus, certain shifts in chapter-wise weightage have been observed. Physics and Measurement are among such topics. It’s among the least weightage topics in JEE Main Physics Syllabus 2025. This chapter holds 1.39% weightage in the whole syllabus.

• Physics and Measurement is a part of the General Physics section, and every year around 2-3 questions are asked from this chapter. Due to the drop in weightage, you can expect 1-2 questions in JEE Main 2025.
• Physics and Measurement in JEE Mains Physics Syllabus 2025 covers all the basic concepts on units and measurements, fundamentals of units, dimensions etc.

Aspirants consider Physics and Measurement as one of the Easiest Chapters in Physics for JEE Main 2025. Even though this chapter has the least weightage in the syllabus, to develop a strong foundation in physics, this particular chapter plays a pivotal role. Hence the candidates need to develop a clear understanding of this chapter. The list of most asked questions from this chapter will help the students with their preparation.

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Some of the most important topics in the Physics and Measurement chapter for the JEE Main exam include:

• Units and measurements
• Dimensional analysis
• Significant figures
• Errors and uncertainties
• Vernier calipers and screw gauge
• Measurement of length, mass, and time
• Systematic and random errors
• Propagation of errors
• Micrometer screw gauge
• Measurement of temperature

Physics And Measurement JEE Mains Questions -

List Of Most Asked Questions With Solutions

In the (JEE) Main, the topic of Physics and Measurement often features questions that have appeared multiple times in previous years. Many questions in this section are either repeated or follow similar patterns, with only minor changes, such as different numerical values or slight modifications in wording.Certain questions have been repeated as many as five times.

Here are some of the most frequently asked and repeated questions:

Question 1 : A physical quantity P is related to four observables a, b, c, and d as:

The percentage errors in a, b, c, and d are 1%, 2%, 4%, and 2%, respectively. What is the percentage error in P? (This question has been asked thrice-30-Jan-2024 Shift 2, JEE Main 2020, JEE Main 2016 )

Options:

A. 14%

B. 16%

C. 18%

D. 20%

Question 2: The period of oscillation of a simple pendulum is given by,

where L is the length of the pendulum and g is the acceleration due to gravity. If L = 1.0 ± 0.01 m and g = 9.8 ± 0.1 m/s², what is the relative error in the period? (This question has been asked thrice-17 Mar 2021 Shift 2,JEE Main 2019,JEE Main 2022 )

Options:

A. 0.5%

B. 0.75%

C. 1.0%

D. 1.25%

Question 3: A dimensionally correct relation for the velocity v of a wave on a string is given by:

where T is the tension in the string and μ\muμ is the mass per unit length. What are the dimensions of T/μ? (This question has been asked thrice- JEE Main 2017,JEE Main 2021,JEE Main 2019 )

Options:

A. [M^1 L^0 T^0]

B. [M^0 L^1 T^{-2}]

C. [M^1 L^1 T^{-2}]

D. [M^0 L^1 T^0]

Question 4: If the error in the measurement of the radius of a sphere is 2%, then the error in the measurement of its volume will be: (This question has been asked twice- JEE Main 2015,JEE Main 2022 )

Options:

A. 2%

B. 4%

C. 6%

D. 8%

Question 5: Which of the following sets have different dimensions? (This question has been asked thrice- JEE Main 2014,JEE Main 2016,JEE Main 2019 )

Options:

A. Work and Energy

B. Torque and Energy

C. Impulse and Momentum

D. Pressure and Stress

Question 6: A student uses a meter scale to measure the length of a rod. The scale has markings at 1 mm intervals. The measured length is 10.0 cm. Which of the following options represents the correct measurement and uncertainty? (This question has been asked twice-JEE Main 2022,JEE Main 2024 )

Options:

A. (10.0±0.1) cm

B. (10.0±0.01) cm

C. (10.00±0.01) cm

D. (10.00±0.1) cm

Question 7: The velocity v of a particle at time t is given by v = At + Bt^2, where A and B are constants. What are the dimensions of B? (This question has been asked thrice-JEE Main 2021,JEE Main 2018,JEE Main 2017 )

Options:

A.[M^0 L^1 T^{-2}

B. [M^0 L^0 T^{-1}]

C. [M^0 L^1 T^{-3}

D.[M^1 L^1 T^{-2}

Question 8: The percentage error in the measurement of mass and speed are 2% and 3%, respectively. What is the maximum possible percentage error in the measurement of kinetic energy? (This question has been asked thrice- JEE Main 2018,JEE Main 2022,JEE Main 2024)

Options:

A. 8%

B. 10%

C. 12%

D. 6%

Question 9: A force F is given as a function of time F(t) = At^2 + Bt, where A and B are constants. What is the dimensional formula for A? (This question has been asked Four times-JEE Main 2016,JEE Main 2018,JEE Main 2019,JEE Main 2023 )

Options:

A. [M1L0T0]

B. [M1L1T−3]

C. [M1L0T−2]

D. [M0L1T−2]

Question 10: A physical quantity X is given by:

​ where a, b, and c are certain quantities with dimensions What are the dimensions of X?

(This question has been asked Four times-JEE Main 2020,JEE Main 2022,JEE Main 2018,JEE Main 2024 )

Options:

A. [M^2 L^3 T^{-1}]

B.[M^1 L^2 T^{-1}]

C. [M^2 L^3 T^{-2}]

D. [M^1 L^2 T^2]

Solution:1

We know that for a product of powers of quantities, the percentage error in the result is the sum of the percentage errors of individual terms, each multiplied by their respective power. So,

Substituting the values:

Percentage error in P=3(1)+2(2)+21​(4)+2=3+4+2+2=11%

So, the correct answer is B. 16%.

Solution:2

We know that:

Substituting the given values:

Relative error = 1.01%, so the correct answer is C. 1.0%.

Solution:3

Tension T has the dimensions of force, [M^1 L^1 T^{-2}, and μ\muμ has dimensions of mass per unit length, [M^1 L^{-1}. Therefore:

Correct answer is C. [M^1 L^1 T^{-2}].

Solution:4

The volume of a sphere is given by:

V=4/3πr3

The percentage error in the volume will be three times the percentage error in the radius, because the radius is raised to the power 3 in the formula for volume. So,

The correct answer is C. 6%.

Solution:5

• Work and Energy both have dimensions of [M^1 L^2 T^{-2}].
• Torque and Energy also share the same dimensions [M^1 L^2 T^{-2}].
• Impulse and Momentum both have dimensions [M^1 L^1 T^{-1}.
• Pressure and Stress both have dimensions of force per unit area, i.e., [M^1 L^{-1} T^{-2}].

Thus, none of these pairs have different dimensions. The correct answer is D. All pairs have the same dimensions.

Solution 6:

The least count of the meter scale is 1 mm = 0.1 cm. So, the uncertainty in the measurement will be ±0.1 cm\pm Thus, the correct answer is A. (10.0 \pm 0.1) cm.

Solution 7:

From the equation v = At + Bt^2, velocity v has dimensions[LT^{-1}]. The term Bt² must have the same dimensions as velocity. Thus,

Therefore, the correct answer is C. [M^0 L^1 T^{-3}].

Solution 8:

The formula for kinetic energy is KE=12mv2

The percentage error in kinetic energy is given by:

Percentage error in KE=Percentage error in mass+2×Percentage error in velocity

Thus, the correct answer is A. 8%.

Solution:9

Force has dimensions of [M L T^{-2}]. The term At2 must have the same dimensions as force. Therefore:

Thus, the correct answer is B. [M^1 L^1 T^{-3}].

Solution:10

We are given ​, so we calculate the dimensions of each term:

• a^2 has dimensions[M^2].
• b^3 has dimensions [L^3]].
• sqrt{c} has dimensions [T].

Thus, the dimensions of X are:

The correct answer is A. [M^2 L^3 T^{-1}].

For additional practice, you can access chapter-wise tests and mock exams for Physics and Measurement, as well as full-length mock tests and sectional tests for all chapters, available on our CollegeDunia platform. Prepare with ease and boost your chances of cracking JEE 2025!

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