JEE Main 2024 Question Paper (30-Jan-2024) (Shift 2)

Question 1

If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of the main scale is $0.5 \ \mathrm{mm}$, the Vernier constant of the travelling microscope is:

Accepted Answer

$0.01\ \mathrm{mm}$

Answer

$0.1 \ \mathrm{mm}$

Answer

$0.1\ \mathrm{cm}$

Answer

$0.01\ \mathrm{cm}$

Question 2

A block of mass $1 \ \mathrm{kg}$ is pushed up a surface inclined to the horizontal at an angle of $60^\circ$ by a force of $10 \ \mathrm{N}$ parallel to the inclined surface as shown in the figure. When the block is pushed up by $10 \ \mathrm{m}$ along the inclined surface, the work done against the frictional force is: $\left[g = 10 \ \mathrm{m} \ \mathrm{s}^{-2}\right]$

Accepted Answer

$5 \ \mathrm{J}$

Answer

$5\sqrt{3} \ \mathrm{J}$

Answer

$5 	imes 10^{3} \ \mathrm{J}$

Answer

$10 \ \mathrm{J}$

Question 3

For the photoelectric effect, the maximum kinetic energy $ E_{k} $ of the photoelectrons is plotted against the frequency $ v $ of the incident photons as shown in the figure. The slope of the graph gives

Accepted Answer

Planck's constant

Answer

Ratio of Planck's constant to electric charge

Answer

Work function of the metal

Answer

Charge of electron

Question 4

A block of ice at $-10\ °\mathrm{C}$ is slowly heated and converted to steam at $100\ °\mathrm{C}$. Which of the following curves represent the phenomenon qualitatively:

Accepted Answer

""

Answer

Answer

Answer

Question 5

In a nuclear fission reaction of an isotope of mass $M$, three similar daughter nuclei of the same mass are formed. The speed of a daughter nucleus in terms of the mass defect $\Delta M$ will be:

Accepted Answer

$ c \sqrt{\frac{2 \Delta M}{M}} $

Answer

$\sqrt{\frac{2c \Delta M}{M}}$

Answer

$ \frac{\Delta M c^{2}}{3} $

Answer

$ c\sqrt{\frac{3\Delta M}{M}} $