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Units, Dimensions & Errors JEE Main PYQs, 2020 to 2025

Units, Dimensions & Errors has 22 questions in JEE Main papers from 2020 to 2025, about 3.7 per year across all shifts. The most asked topic is Dimensional Analysis (15 questions), followed by Error Analysis (7).

Updated

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22Total PYQs
6Years covered
2Topics
2025 Apr S2Latest paper

Units, Dimensions & Errors questions per year

YearQuestions
20254
20244
20233
20225
20215
20201

Topic-wise weightage

TopicQuestionsShare of chapterLast asked
Dimensional Analysis1568%2025
Error Analysis732%2024

Sample questions from recent papers

JEE Main 2025 · 2 Apr · Shift 2 · Dimensional Analysis

Match List - I with List - II. \text { Match List - I with List - II. }

List - I List−II (A) Heat capacity of body (I) J kg−1 (B) Specific heat capacity of body (II) J K−1 (C) Latent heat (III) J kg−1 K−1 (D) Thermal conductivity (IV) J m−1 K−1 s−1\begin{array}{lll} & \text { List - I } & {List - II }\\ \text { } \\ \text { (A) } & \text { Heat capacity of body } & \text { (I) } \mathrm{J} \mathrm{~kg}^{-1} \\ \text { (B) } & \text { Specific heat capacity of body } & \text { (II) } \mathrm{J} \mathrm{~K}^{-1} \\ \text { (C) } & \text { Latent heat } & \text { (III) } \mathrm{J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1} \\ \text { (D) } & \text { Thermal conductivity } & \text { (IV) } \mathrm{J} \mathrm{~m}^{-1} \mathrm{~K}^{-1} \mathrm{~s}^{-1} \end{array}

Choose the correct answer from the options given below : \text { Choose the correct answer from the options given below : }
  1. (A)(A)-(IV), (B)-(III), (C)-(II), (D)-(I)
  2. (B)(A)-(III), (B)-(I), (C)-(II), (D)-(IV)
  3. (C)(A)-(III), (B)-(IV), (C)-(I), (D)-(II)
  4. (D)(A)-(II), (B)-(III), (C)-(I), (D)-(IV)

Answer: (D)

Step-by-step solution

JEE Main 2024 · 8 Apr · Shift 1 · Error Analysis

Young's modulus is determined by the equation given by Y=49000mldynecm2\mathrm{Y}=49000 \frac{\mathrm{m}}{\mathrm{l}} \frac{\mathrm{dyne}}{\mathrm{cm}^2} where MM is the mass and ll is the extension of wire used in the experiment. Now error in Young modules (Y)(Y) is estimated by taking data from M−lM-l plot in graph paper. The smallest scale divisions are 5 g5 \mathrm{~g} and 0.02 cm0.02 \mathrm{~cm} along load axis and extension axis respectively. If the value of MM and ll are 500 g500 \mathrm{~g} and 2 cm2 \mathrm{~cm} respectively then percentage error of YY is :

  1. (A)2%
  2. (B)0.02%
  3. (C)0.5%
  4. (D)0.2%

Answer: (A)

Step-by-step solution

All 22 questions are in the free PDF above, grouped by topic.

Frequently asked

How many questions come from Units, Dimensions & Errors in JEE Main?

22 questions from 2020 to 2025, about 3.7 per year. In 2025 it had 4.

Which Units, Dimensions & Errors topics are most important for JEE Main?

By past papers: Dimensional Analysis (68%) and Error Analysis (32%) of all Units, Dimensions & Errors questions.

Is the Units, Dimensions & Errors PYQ PDF free?

Yes. The PDF, the answer key and every step-by-step solution on PrepWiser are free, with no login needed to practise.

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JEE Main PYQs by year: 2025 · 2024 · 2023 · 2022 · 2021 · 2020

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