JEE Main 2022 Question Paper (29-Jul-2022) (Shift 2)

Question 1

Two identical metallic spheres $A$ and $B$, when placed at a certain distance in air, repel each other with a force of $F$. Another identical uncharged sphere $C$ is first placed in contact with $A$ and then in contact with $B$, and finally placed at the midpoint between spheres $A$ and $B$. The force experienced by sphere $C$ will be:

Accepted Answer

$ \frac{3F}{4} $

Answer

$\frac{3F}{2}$

Answer

$ F $

Answer

$2F$

Question 2

Match List I with List II. List I List II(A)Torque(I)$\mathrm{N} \cdot \mathrm{m} \cdot \mathrm{s}^{-1}$(B)Stress(II)$\mathrm{J} \cdot \mathrm{kg}^{-1}$(C)Latent Heat(III)$\mathrm{N} \cdot \mathrm{m}$(D)Power(IV)$\mathrm{N} \cdot \mathrm{m}^{-2}$Choose the correct answer from the options given below:

Accepted Answer

$ \mathrm{A} - \mathrm{III}, \quad \mathrm{B} - \mathrm{IV}, \quad \mathrm{C} - \mathrm{II}, \quad \mathrm{D} - \mathrm{I} $

Answer

$ \mathrm{A} - \mathrm{III}, \quad \mathrm{B} - \mathrm{II}, \quad \mathrm{C} - \mathrm{I}, \quad \mathrm{D} - \mathrm{IV} $

Answer

$ \mathrm{A} - \mathrm{IV}, \quad \mathrm{B} - \mathrm{I}, \quad \mathrm{C} - \mathrm{III}, \quad \mathrm{D} - \mathrm{II} $

Answer

$ \mathrm{A} - \mathrm{II}, \quad \mathrm{B} - \mathrm{III}, \quad \mathrm{C} - \mathrm{I}, \quad \mathrm{D} - \mathrm{IV} $

Question 3

Two identical thin metal plates have charges $ q_{1} $ and $ q_{2} $ respectively such that $ q_{1} > q_{2} $. The plates were brought close to each other to form a parallel plate capacitor of capacitance $ C $. The potential difference between them is:

Accepted Answer

$ \frac{q_{1} - q_{2}}{2C} $

Answer

$ \frac{q_{1} + q_{2}}{C} $

Answer

$ \frac{q_{1} - q_{2}}{C} $

Answer

$ \frac{2\left(q_{1} - q_{2}\right)}{C} $

Question 4

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Alloys such as constantan and manganin are used in making standard resistance coils. Reason R: Constantan and manganin have very small value of temperature coefficient of resistance. In the light of the above statements, choose the correct answer from the options given below.

Accepted Answer

Both $ A $ and $ R $ are true and $ R $ is the correct explanation of $ A $.

Answer

Both A and R are true but R is NOT the correct explanation of A.

Answer

A is true but R is false.

Answer

A is false but R is true.

Question 5

A $1 \ \mathrm{m}$ long wire is broken into two unequal parts $X$ and $Y$. The $X$ part of the wire is stretched into another wire $W$. The length of $W$ is twice the length of $X$, and the resistance of $W$ is twice that of $Y$. Find the ratio of the length of $X$ and $Y$.

Accepted Answer

$1:2$

Answer

$1:4$

Answer

$4:1$

Answer

$2:1$

	List I		List II
(A)	Torque	(I)	$\mathrm{N} \cdot \mathrm{m} \cdot \mathrm{s}^{-1}$
(B)	Stress	(II)	$\mathrm{J} \cdot \mathrm{kg}^{-1}$
(C)	Latent Heat	(III)	$\mathrm{N} \cdot \mathrm{m}$
(D)	Power	(IV)	$\mathrm{N} \cdot \mathrm{m}^{-2}$