JEE Main 2023 Question Paper (30-Jan-2023) (Shift 2)

Question 1

A block of $ \sqrt{3}  \mathrm{kg} $ is attached to a string whose other end is attached to the wall. An unknown force $ F $ is applied so that the string makes an angle of $ 30^\circ $ with the wall. The tension $ T $ is: (Given $ g = 10 \mathrm{m}  \mathrm{s}^{-2} $)

Accepted Answer

$20 \mathrm{N}$

Answer

$25\mathrm{N}$

Answer

$10 \mathrm{N}$

Answer

$15 \mathrm{N}$

Question 2

A flask contains hydrogen and oxygen in the ratio of $2 \; : \; 1$ by mass at temperature $27 \ ^\circ \mathrm{C}$. The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is :

Accepted Answer

$1:1$

Answer

$2:1$

Answer

$1:4$

Answer

$4:1$

Question 3

The equivalent resistance between $A \quad 	ext{and} \quad B$ is _______..

Accepted Answer

$ \frac{2}{3} \, \Omega $

Answer

$ \frac{1}{2} \Omega $

Answer

$ \frac{3}{2} \Omega $

Answer

$ \frac{1}{3} \, \Omega $

Question 4

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason RAssertion A : The nuclear density of nuclides $ {}_{5}{}^{10}B, {}_{3}{}^{6}Li, {}_{26}{}^{56}Fe, {}_{10}{}^{20}Ne 	ext{and} {}_{83}{}^{209}Bi$ can be arranged as $ ho_{Bi}^N > ho_{Fe}^N > ho_{Ne}^N > ho_{B}^N > ho_{Li}^N $Reason R : The radius $R$ of nucleus is related to its mass number $A$ as $ R = R_0 A^{\frac{1}{3}}$, where $R_0$ is a constant.In the light of the above statement, choose the correct answer from the options given below :

Accepted Answer

A is false but R is true

Answer

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

Answer

A is true but R is false

Answer

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

Question 5

A thin prism $ P_{1} $ with an angle $ 6^\circ $ and made of glass of refractive index $ 1.54 $ is combined with another prism $ P_{2} $ made from glass of refractive index $ 1.72 $ to produce dispersion without average deviation. The angle of prism $ P_{2} $ is :

Accepted Answer

$4.5^\circ$

Answer

$6^\circ$

Answer

$ \quad 1.3^\circ$

Answer

$7.8^\circ$