JEE Main 2025 (Online) 8th April Evening Shift | Units & Measurements Question 1 | Physics

A quantity Q is formulated as $X^{-2}Y^{+\frac{3}{2}}Z^{-\frac{2}{5}}$. X, Y, and Z are independent parameters which have fractional errors of 0.1, 0.2, and 0.5, respectively in measurement. The maximum fractional error of Q is

0.6

0.8

0.7

0.1

JEE Main 2025 (Online) 7th April Evening Shift

MCQ (Single Correct Answer)

-1

The dimension of $ \sqrt{\frac{\mu_0}{\epsilon_0}} $ is equal to that of:

($ \mu_0 $ = Vacuum permeability and $ \epsilon_0 $ = Vacuum permittivity)

Voltage

Inductance

Resistance

Capacitance

JEE Main 2025 (Online) 7th April Evening Shift

MCQ (Single Correct Answer)

-1

Match List - I with List - II.

List - I	List - II
(A) Mass density	(I) [ML²T⁻³]
(B) Impulse	(II) [MLT⁻¹]
(C) Power	(III) [ML²T⁰]
(D) Moment of inertia	(IV) [ML⁻³T⁰]

Choose the correct answer from the options given below :

(A)-(IV), (B)-(II), (C)-(III), (D)-(I)

(A)-(II), (B)-(III), (C)-(IV), (D)-(I)

(A)-(IV), (B)-(III), (C)-(I), (D)-(II)

(A)-(IV), (B)-(II), (C)-(I), (D)-(III)

JEE Main 2025 (Online) 2nd April Evening Shift

MCQ (Single Correct Answer)

-1

If $\mu_0$ and $\epsilon_0$ are the permeability and permittivity of free space, respectively, then the dimension of $\left(\frac{1}{\mu_0 \epsilon_0}\right)$ is :

$\mathrm{T}^2 / \mathrm{L}$

$\mathrm{L}^2 / \mathrm{T}^2$

$\mathrm{T}^2 / \mathrm{L}^2$

$\mathrm{L} / \mathrm{T}^2$

Questions Asked from Units & Measurements (MCQ (Single Correct Answer))

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