Units, Dimensions & Errors JEE Main PYQs PDF, 2020–2026

Units, Dimensions & Errors questions per year

Topic-wise weightage by year

How many Units, Dimensions & Errors questions each topic had in every JEE Main year (all shifts), counting every question asked, including ones not in the PDF. Darker cells mean more questions.

Swipe the table sideways for older years.

Newest questions (2026)

The 12 newest of the 25 JEE Main 2026 Units, Dimensions & Errors questions in the free PDF, latest shift first.

1. JEE Main 2026 · 8 Apr · Shift 2 · SI Units and Dimensions

   A new unit ( $\alpha$ ) of length is chosen such that it is equal to the speed of light in vacuum. What is the distance between Venus and Earth in terms of $\alpha$ units if light takes 6 min. 40 s to cover this distance?

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2. JEE Main 2026 · 8 Apr · Shift 2 · Dimensional Analysis

   Consider the equation $H=\frac{x^{p}\epsilon^{q}E^{r}}{t^{s}}$

   Where $H=$ magnetic field; $E=$ electric field, $\epsilon=$ permittivity, $x=$ distance, $t=$ time The values of $p,q,r$ and $s$ respectively are :

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3. JEE Main 2026 · 6 Apr · Shift 1 · Error Analysis

   The density $\rho$ of a uniform cylinder is determined by measuring its mass $m$, length $l$ and diameter $d$. The measured values of $m,l$ and $d$ are $97.42\pm 0.02{\ \mathrm{g}}$, $8.35\pm 0.05{\ \mathrm{mm}}$ and $20.20\pm 0.02{\ \mathrm{mm}}$, respectively. Calculated percentage fractional error in $\rho$ is $\_\_\_\_$ .

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4. JEE Main 2026 · 6 Apr · Shift 1 · Dimensional Analysis

   The potential energy of a particle changes with distance $x$ from a fixed origin as $V=\frac{A\sqrt{x}}{x+B}$, where $A$ and $B$ are constant with appropriate dimensions. The dimensions of $AB$ are $\_\_\_\_$

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5. JEE Main 2026 · 6 Apr · Shift 2 · Error Analysis

   The percentage error in the calculated volume of a sphere, if there is $2\%$ error in its diameter measurement, is $\_\_\_\_$ .

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6. JEE Main 2026 · 6 Apr · Shift 2 · Dimensional Analysis

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

   $\text{ List - I}$		$\text{ List - II}$
   A.	Boltzmann constant	I.	$\left[{\mathrm{M}}^{{-1}}{\ \mathrm{L}}^{3}{\ \mathrm{T}}^{{-2}}\right]$
   B.	Stefan's constant	II.	$\left[{\mathrm{M}}{\ \mathrm{L}}^{2}{\ \mathrm{T}}^{{-1}}\right]$
   C.	Planck's constant	III.	$\left[{\mathrm{ML}}^{2}{\ \mathrm{T}}^{{-2}}{\ \mathrm{K}}^{{-1}}\right]$
   D.	Gravitational constant	IV.	$\left[{\mathrm{M}}{\ \mathrm{L}}^{0}{\ \mathrm{T}}^{{-3}}{\ \mathrm{K}}^{{-4}}\right]$

   Choose the correct answer from the options given below :

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7. JEE Main 2026 · 5 Apr · Shift 2 · Dimensional Analysis

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

   $\text{ List - I}$		$\text{ List - II}$
   A.	Meter (L)	I.	$\sqrt{\frac{hc}{G}}$
   B.	Second (S)	II.	$\sqrt{\frac{Gh}{c^{5}}}$
   C.	Kilogram (M)	III.	$\sqrt{\frac{K^{2}L^{2}c^{3}}{Gh}}$
   D.	Kelvin (K)	IV.	$\sqrt{\frac{Gh}{c^{3}}}$

   where h (Planck's constant), G (gravitational constant) and c (speed of light in vacuum) as fundamental units.

   Choose the correct answer from the options given below :

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8. JEE Main 2026 · 5 Apr · Shift 1 · Dimensional Analysis

   $L,C$ and $R$ represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula ${\mathrm{ML}}^{2}{\ \mathrm{T}}^{{-4}}{\ \mathrm{A}}^{{-2}}$ corresponds to $\_\_\_\_$ .

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9. JEE Main 2026 · 5 Apr · Shift 2 · Error Analysis

   In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10 V and 5 A , respectively. The least counts of voltmeter and ammeter are 500 mV and 200 mA , respectively. The estimated error in the resistance measurement is $\_\_\_\_$ $\Omega$

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10. JEE Main 2026 · 4 Apr · Shift 2 · Dimensional Analysis

    $\text{ Match the LIST-I with LIST-II}$

    List - I		List - II
    A.	Planck's constant	I.	${\mathrm{ML}}^{2}{\ \mathrm{T}}^{{-2}}$
    B.	Stopping potential	II.	${\mathrm{T}}^{{-1}}$
    C.	Work function	III.	${\mathrm{ML}}^{2}{\ \mathrm{T}}^{{-1}}$
    D.	Threshold frequency	IV.	${\mathrm{ML}}^{2}{\ \mathrm{T}}^{{-3}}{\ \mathrm{A}}^{{-1}}$

    Choose the correct answer from the options given below:

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11. JEE Main 2026 · 2 Apr · Shift 2 · Dimensional Analysis

    Dimensions of universal gravitational constant ($G$) in terms of Planck's constant ($h$), distance ($L$), mass ($M$) and time ($T$) are _______.

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12. JEE Main 2026 · 2 Apr · Shift 1 · Dimensional Analysis

    The dimensional formula of $\frac{1}{2}\epsilon_{0}E^{2}$ ($\epsilon_{0}$ = permittivity of vacuum and $E$ = electric field) is $M^{a}L^{b}T^{c}$.

    The value of $2a-b+c=$ ________.

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