1
JEE Main 2025 (Online) 22nd January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The maximum percentage error in the measurment of density of a wire is

[Given, mass of wire $=(0.60 \pm 0.003) \mathrm{g}$

radius of wire $=(0.50 \pm 0.01) \mathrm{cm}$

length of wire $=(10.00 \pm 0.05) \mathrm{cm}]$

A
7
B
8
C
5
D
4
2
JEE Main 2025 (Online) 22nd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If $B$ is magnetic field and $\mu_0$ is permeability of free space, then the dimensions of $\left(B / \mu_0\right)$ is

A
$\mathrm{MT}^{-2} \mathrm{~A}^{-1}$
B
$\mathrm{L}^{-1} \mathrm{~A}$
C
$\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~A}^{-1}$
D
$\mathrm{LT}^{-2} \mathrm{~A}^{-1}$
3
JEE Main 2025 (Online) 22nd January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements :

Statement I: In a vernier callipers, one vernier scale division is always smaller than one main scale division.

Statement II : The vernier constant is given by one main scale division multiplied by the number of vernier scale divisions.

In the light of the above statements, choose the correct answer from the options given below.

A
Both Statement I and Statement II are false
B
Statement I is true but Statement II is false
C
Both Statement I and Statement II are true
D
Statement I is false but Statement II is true
4
JEE Main 2024 (Online) 9th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The de-Broglie wavelength associated with a particle of mass $$m$$ and energy $$E$$ is $$h / \sqrt{2 m E}$$. The dimensional formula for Planck's constant is :

A
$$\left[\mathrm{M}^2 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]$$
B
$$\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]$$
C
$$\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]$$
D
$$\left[\mathrm{MLT}^{-2}\right]$$
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