1
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
During the melting of a slab of ice at 273 K at atmospheric pressure :
A
Internal energy of ice-water system remains unchanged.
B
Positive work is done by the ice-water system on the atmosphere.
C
Positive work is done on the ice-water system by the atmosphere.
D
Internal energy of the ice-water system decreases.
2
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A force of 49 N acts tangentially at the highest point of a sphere (solid) of mass 20 kg , kept on a rough horizontal plane. If the sphere rolls without slipping, then the acceleration of the center of the sphere is

JEE Main 2025 (Online) 3rd April Morning Shift Physics - Rotational Motion Question 5 English

A

$$ 2.5 \mathrm{~m} / \mathrm{s}^2 $$

B

$$ 3.5 \mathrm{~m} / \mathrm{s}^2 $$

C

$$ 0.25 \mathrm{~m} / \mathrm{s}^2 $$

D

$$ 0.35 \mathrm{~m} / \mathrm{s}^2 $$

3
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
JEE Main 2025 (Online) 3rd April Morning Shift Physics - Heat and Thermodynamics Question 8 English

A piston of mass $M$ is hung from a massless spring whose restoring force law goes as $F=-k x^3$, where k is the spring constant of appropriate dimension. The piston separates the vertical chamber into two parts, where the bottom part is filled with ' $n$ ' moles of an ideal gas. An external work is done on the gas isothermally (at a constant temperature T) with the help of a heating filament (with negligible volume) mounted in lower part of the chamber, so that the piston goes up from a height $\mathrm{L}_0$ to $\mathrm{L}_1$, the total energy delivered by the filament is:(Assume spring to be in its natural length before heating)

A
$n R T \ln \left(\frac{L_1}{L_0}\right)+M g\left(L_1-L_0\right)+\frac{3 k}{4}\left(L_1{ }^4-L_0{ }^4\right)$
B
$n R T \ln \left(\frac{L_1}{L_0}\right)+M g\left(L_1-L_0\right)+\frac{k}{4}\left(L_1^4-L_0{ }^4\right)$
C
$n R T \ln \left(\frac{L_1^2}{L_0^2}\right)+\frac{M g}{2}\left(L_1-L_0\right)+\frac{k}{4}\left(L_1^4-L_0{ }^4\right)$
D
$3 n R T \ln \left(\frac{L_1}{L_0}\right)+2 M g\left(L_1-L_0\right)+\frac{k}{3}\left(L_1{ }^3-L_0{ }^3\right)$
4
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

$$ \text { Match the LIST-I with LIST-II } $$

List - I
List - II
A. $$
{ }_0^1 \mathrm{n}+{ }_{92}^{235} \mathrm{U} \rightarrow{ }_{54}^{140} \mathrm{Xe}+{ }_{38}^{94} \mathrm{Sr}+2{ }_0^1 \mathrm{n}
$$
I. $$
\text { Chemical reaction }
$$
B. $$
2 \mathrm{H}_2+\mathrm{O}_2 \rightarrow 2 \mathrm{H}_2 \mathrm{O}
$$
II. $$
\text { Fusion with +ve } \mathrm{Q} \text { value }
$$
C. $$
{ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H} \rightarrow{ }_2^3 \mathrm{He}+{ }_0^1 \mathrm{n}
$$
III. $$
\text { Fission }
$$
D. $$
{ }_1^1 \mathrm{H}+{ }_1^3 \mathrm{H} \rightarrow{ }_1^2 \mathrm{H}+{ }_1^2 \mathrm{H}
$$
IV. $$
\text { Fusion with -ve } Q \text { value }
$$
$$ \text { Choose the correct answer from the options given below: } $$
A
A-II, B-I, C-III, D-IV
B
A-III, B-I, C-II, D-IV
C
A-III, B-I, C-IV, D-II
D
A-II, B-I, C-IV, D-III
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