JEE Main 2024 Question Paper (29-Jan-2024) (Shift 1)

Question 1

In the given circuit, the breakdown voltage of the Zener diode is $3.0 \quad \mathrm{V}$. What is the value of $I_{z}$?

Accepted Answer

$5.5\quad \mathrm{mA}$

Answer

$3.3\quad \mathrm{mA}$

Answer

$10 \quad \mathrm{mA}$

Answer

$7 \quad \mathrm{mA}$

Question 2

The electric current through a wire varies with time as $ I = I_0 + \beta t $, where $ I_0 = 20 \quad \mathrm{A} $ and $ \beta = 3 \quad \mathrm{A} \quad \mathrm{s}^{-1} $. The amount of electric charge crossed through a section of the wire in $ 20 \quad \mathrm{s} $ is:

Accepted Answer

$1000 \quad \mathrm{C}$

Answer

$80 \quad \mathrm{C}$

Answer

$800 \quad \mathrm{C}$

Answer

$1600 \quad \mathrm{C}$

Question 3

Given below are two statements:
Statement I: If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in hot water.
Statement II: If a capillary tube is immersed first in cold water and then in hot water, the height of capillary rise will be smaller in cold water.
In the light of the above statements, choose the most appropriate from the options given below.

Accepted Answer

Statement I is true but Statement II is false

Answer

Both Statement I and Statement II are true

Answer

Both Statement I and Statement II are false

Answer

Statement I is false but Statement II is true

Question 4

A convex mirror of radius of curvature $30 \quad \mathrm{cm}$ forms an image that is half the size of the object. The object distance is :

Accepted Answer

$-15 \quad \mathrm{cm}$

Answer

$-45 \quad \mathrm{cm}$

Answer

$45 \quad \mathrm{cm}$

Answer

$15 \quad \mathrm{cm}$

Question 5

Two charges of $5Q$ and $-2Q$ are situated at the points $(3a, \quad 0)$ and $(-5a, \quad 0)$ respectively. The electric flux through a sphere of radius $4a$ having centre at origin is:

Accepted Answer

$ \frac{5Q}{\epsilon_{0}} $

Answer

$ \frac{2Q}{\epsilon_{0}} $

Answer

$ \frac{7Q}{\epsilon_{0}} $

Answer

$ \frac{3Q}{\epsilon_0} $