JEE Main 2025 (Online) 7th April Morning Shift | Properties of Matter Question 5 | Physics

Two wires A and B are made of same material having ratio of lengths $\frac{L_A}{L_B}=\frac{1}{3}$ and their diameters ratio $\frac{d_A}{d_B}=2$. If both the wires are stretched using same force, what would be the ratio of their respective elongations?

$3: 4$

$1: 12$

$1: 3$

$1: 6$

JEE Main 2025 (Online) 4th April Evening Shift

MCQ (Single Correct Answer)

-1

A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of $10^5 \mathrm{~N}$ at the top. Considering infinitesimally small displacement in the upper edge, the angular displacement $\theta$ of the rod axis from its original position would be : (shear moduli, $G=10^{10} \mathrm{~N} / \mathrm{m}^2$ )

$1 / 160 \pi$

$1 / 2 \pi$

$1 / 4 \pi$

$1 / 40 \pi$

JEE Main 2025 (Online) 4th April Morning Shift

MCQ (Single Correct Answer)

-1

Two liquids $A$ and $B$ have $\theta_A$ and $\theta_B$ as contact angles in a capillary tube. If $K=\cos \theta_A / \cos \theta_B$, then identify the correct statement:

K is negative, then liquid A and liquid B have convex meniscus.

$K$ is negative, then liquid $A$ and liquid $B$ have concave meniscus.

K is zero, then liquid A has convex meniscus and liquid B has concave meniscus.

K is negative, then liquid A has concave meniscus and liquid B has convex meniscus.

JEE Main 2025 (Online) 3rd April Evening Shift

MCQ (Single Correct Answer)

-1

Two cylindrical vessels of equal cross sectional area of $2 \mathrm{~m}^2$ contain water upto heights 10 m and 6 m , respectively. If the vessels are connected at their bottom then the work done by the force of gravity is (Density of water is $10^3 \mathrm{~kg} / \mathrm{m}^3$ and $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )

${ }1 \times 10^5 \mathrm{~J}$

$4 \times 10^4 \mathrm{~J}$

$8 \times 10^4 \mathrm{~J}$

$6 \times 10^4 \mathrm{~J}$

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