Units And Measurements — JEE Advanced Previous Year Questions

How many JEE Advanced questions come from Units And Measurements?

Units And Measurements has contributed 23 questions to Joint Entrance Examination (Advanced) papers between 2016 and 2026 — an average of about 2 questions a year. That count is measured from EByAi’s bank of 18,502 JEE Advanced questions, not estimated from a syllabus. Every one of the 23 questions carries a written, step-by-step solution, and each is tagged to Units And Measurements within Physics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Units And Measurements questions from real JEE Advanced papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 23 Units And Measurements questions (with full written solutions) are available in practice.

1. Question 1 · JEE Advanced 2025

   Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and 6.0 μm, respectively. Which of the following option(s) give(s) the volume of the strip in cm 3 with correct significant figures:
   1. (A)$3.2\times 10^{-5}$
   2. (B)$32.0\times 10^{-6}$
   3. (C)$3.0\times 10^{-5}$
   4. (D)$3\times 10^{-5}$
   Show answerAnswer

   Answer: (D) $3\times 10^{-5}$

2. Question 2 · JEE Advanced 2025

   A temperature difference can generate e.m.f. in some materials. Let S be the e.m.f. produced per unit temperature difference between the ends of a wire, σ the electrical conductivity and κ the thermal conductivity of the material of the wire. Taking M, L, T, I and K as dimensions of mass, length, time, current and temperature, respectively, the dimensional formula of the quantity $Z=\frac{S^2\sigma }{\kappa }$ is :
   1. (A)[M^0 L^0 T^0 I^0 K^0 ]
   2. (B)[M^0 L^0 T^0 I^0 K^-1 ]
   3. (C)[M^1 L^2 T^-2 I^-1 K^-1 ]
   4. (D)[M^1 L^2 T^-4 I^-1 K^-1 ]
   Show answerAnswer

   Answer: (B) [M^0 L^0 T^0 I^0 K^-1 ]

3. Question 3 · JEE Advanced 2024

   A dimensionless quantity is constructed in terms of electronic charge $e$, permittivity of free space ${\epsilon }_0$, Planck's constant $h$, and speed of light $c$. If the dimensionless quantity is written as $e^{\alpha }{\epsilon }_0{}^{\beta }{h}^{\gamma }{c}^{\delta }$ and $n$ is a non-zero integer, then $(\alpha ,\beta ,\gamma ,\delta )$ is given by :
   1. (A)$(2n,-n,-n,-n)$
   2. (B)$(n,-n,-2n,-n)$
   3. (C)$(n,-n,-n,-2n)$
   4. (D)$(2n,-n,-2n,-2n)$
   Show answerAnswer

   Answer: (A) $(2n,-n,-n,-n)$

4. Question 4 · JEE Advanced 2023

   Young's modulus of elasticity $Y$ is expressed in terms of three derived quantities, namely, the gravitational constant $G$, Planck's constant $h$ and the speed of light $c$, as $Y=c^{\alpha }{h}^{\beta }{G}^{\gamma }$. Which of the following is the correct option?
   1. (A)$\alpha =7,\beta =-1,\gamma =-2$
   2. (B)$\alpha =-7,\beta =-1,\gamma =-2$
   3. (C)$\alpha =7,\beta =-1,\gamma =2$
   4. (D)$\alpha =-7,\beta =1,\gamma =-2$
   Show answerAnswer

   Answer: (A) $\alpha =7,\beta =-1,\gamma =-2$

5. Question 5 · JEE Advanced 2017

   A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is $\delta T=0.01$ seconds and he measures the depth of the well to be $L=20$ meters. Take the acceleration due to gravity $g=10m{s}^{-2}$ and the velocity of sound is $300$ $m{s}^{-1}$. Then the fractional error in the measurement, $\delta L/L,$ is closest to
   1. (A)$$0.2\%$$
   2. (B)$$1\%$$
   3. (C)3%
   4. (D)5%
   Show answerAnswer

   Answer: (B) $1\%$

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