JEE Main 2025 (Online) 8th April Evening Shift | Units & Measurements Question 31 | 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) 4th April Evening Shift

MCQ (Single Correct Answer)

-1

In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension of $\left[\mathrm{M}^{\mathrm{P}} \mathrm{L}^{\mathrm{Q}} \mathrm{T}^R A^{\mathrm{S}}\right]$. The value of P and Q are :

$-1,0$

$0,-1$

$-1,1$

$1,-1$

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