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

Question 1

A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of $10 \quad \mathrm{m}$ in $t \quad \mathrm{s}$, the distance travelled by the toy in the next $t \quad \mathrm{s}$ will be:

Accepted Answer

$30 \quad \mathrm{m}$

Answer

$10 \quad \mathrm{m}$

Answer

$20 \quad \mathrm{m}$

Answer

$40 \quad \mathrm{m}$

Question 2

At what temperature a gold ring of diameter $6.230\quad \mathrm{cm}$ be heated so that it can be fitted on a wooden bangle of diameter $6.241\quad \mathrm{cm}$? Both the diameters have been measured at room temperature $\left(27^\circ \mathrm{C}\right)$.
(Given: coefficient of linear thermal expansion of gold ${\alpha}_{L} = 1.4 \times 10^{-5} \quad \mathrm{K}^{-1}$)

Accepted Answer

$152.7^\circ \mathrm{C}$

Answer

$125.7^\circ \mathrm{C}$

Answer

$91.7^\circ \mathrm{C}$

Answer

$425.7^\circ \mathrm{C}$

Question 3

Two point charges $Q$ each are placed at a distance $d$ apart. A third point charge $q$ is placed at a distance $x$ from the midpoint on the perpendicular bisector. The value of $x$ at which charge $q$ will experience the maximum Coulomb's force is:

Accepted Answer

$\frac{d}{2\sqrt{2}}$

Answer

$d$

Answer

$ \frac{d}{2} $

Answer

$\frac{d}{\sqrt{2}}$

Question 4

The speed of light in media $A$ and $B$ are $2.0 	imes 10^{10} \quad \mathrm{cm} \quad \mathrm{s}^{-1}$ and $1.5 	imes 10^{10} \quad \mathrm{cm} \quad \mathrm{s}^{-1}$ respectively. A ray of light enters from the medium $B$ to $A$ at an incident angle $	heta$. If the ray suffers total internal reflection, then

Accepted Answer

$ 	heta > \sin^{-1}\left(\frac{3}{4}ight)$

Answer

$ 	heta = \sin^{-1}\left(\frac{4}{3}ight)$

Answer

$ 	heta > \sin^{-1}\left(\frac{2}{3}ight)$

Answer

$ 	heta < \sin^{-1}\left(\frac{3}{4}ight) $

Question 5

In the following nuclear reaction, $ D \xrightarrow{\alpha} D_1 \xrightarrow{\beta^-} D_2 \xrightarrow{\alpha} D_3 \xrightarrow{\gamma} D_4 $ Mass number of $ D $ is 182 and atomic number is 74. Mass number and atomic number of $ D_4 $ respectively will be

Accepted Answer

$174$ and $71$

Answer

$174$ and $69$

Answer

$172$ and $69$

Answer

$172$ and $71$