JEE MAIN - Physics (2025 - 3rd April Morning Shift)
A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of $800 \mathrm{~cm}^3$ and temperature $27^{\circ} \mathrm{C}$. The change in temperature when the gas is adiabatically compressed to $200 \mathrm{~cm}^3$ is:
(Take $\gamma=1.5 ; \gamma$ is the ratio of specific heats at constant pressure and at constant volume)
_3rd_April_Morning_Shift_en_4_4.png)
$$ \text { Match the LIST-I with LIST-II } $$
| List - I |
List - II |
||
|---|---|---|---|
| A. | $$ \text { Gravitational constant } $$ |
I. | $$ \left[\mathrm{LT}^{-2}\right] $$ |
| B. | $$ \text { Gravitational potential energy } $$ |
II. | $$ \left[\mathrm{L}^2 \mathrm{~T}^{-2}\right] $$ |
| C. | $$ \text { Gravitational potential } $$ |
III. | $$ \left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right] $$ |
| D. | $$ \text { Acceleration due to gravity } $$ |
IV. | $$ \left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right] $$ |
Consider a completely full cylindrical water tank of height 1.6 m and of cross-sectional area $0.5 \mathrm{~m}^2$. It has a small hole in its side at a height 90 cm from the bottom. Assume, the crosssectional area of the hole to be negligibly small as compared to that of the water tank. If a load 50 kg is applied at the top surface of the water in the tank then the velocity of the water coming out at the instant when the hole is opened is:
$$ \left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\right) $$
Consider following statements for refraction of light through prism, when angle of deviation is minimum.
A. The refracted ray inside prism becomes parallel to the base.
B. Larger angle prisms provide smaller angle of minimum deviation.
C. Angle of incidence and angle of emergence becomes equal.
D. There are always two sets of angle of incidence for which deviation will be same except at minimum deviation setting.
E. Angle of refraction becomes double of prism angle.
Choose the correct answer from the options given below :
A parallel plate capacitor is filled equally(half) with two dielectrics of dielectric constants $\varepsilon_1$ and $\varepsilon_2$, as shown in figures. The distance between the plates is $d$ and area of each plate is $A$. If capacitance in first configuration and second configuration are $\mathrm{C}_1$ and $\mathrm{C}_2$ respectively, then $\frac{C_1}{C_2}$ is:
First Configuration
_3rd_April_Morning_Shift_en_9_1.png)
Second Configuration
_3rd_April_Morning_Shift_en_9_2.png)
_3rd_April_Morning_Shift_en_11_1.png)
_3rd_April_Morning_Shift_en_12_1.png)
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)
$$ \text { Match the LIST-I with LIST-II } $$
| 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. | $$ \text { Fusion with -ve } Q \text { value } $$ |
_3rd_April_Morning_Shift_en_15_1.png)
Two blocks of masses $m$ and $M,(M>m)$, are placed on a frictionless table as shown in figure. A massless spring with spring constant k is attached with the lower block. If the system is slightly displaced and released, then ( $\mu=$ coefficient of friction between the two blocks)
A. The time period of small oscillation of the two blocks is $T=2 \pi \sqrt{\frac{(m+M)}{k}}$
B. The acceleration of the blocks is $a=-\frac{k x}{M+m}$ ( $x=$ displacement of the blocks from the mean position)
C. The magnitude of the frictional force on the upper block is $\frac{m \mu|x|}{M+m}$
D. The maximum amplitude of the upper block, if it does not slip, is $\frac{\mu(M+m) g}{k}$
E. Maximum frictional force can be $\mu(\mathrm{M}+\mathrm{m}) \mathrm{g}$.
Choose the correct answer from the options given below :
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_3rd_April_Morning_Shift_en_16_2.png)
_3rd_April_Morning_Shift_en_16_3.png)
_3rd_April_Morning_Shift_en_16_4.png)
_3rd_April_Morning_Shift_en_20_1.png)
_3rd_April_Morning_Shift_en_21_1.png)
A loop ABCDA , carrying current $\mathrm{I}=12 \mathrm{~A}$, is placed in a plane, consists of two semi-circular segments of radius $R_1=6 \pi \mathrm{~m}$ and $\mathrm{R}_2=4 \pi \mathrm{~m}$. The magnitude of the resultant magnetic field at center O is $\mathrm{k} \times 10^{-7} \mathrm{~T}$. The value of k is_________.
( Given $\mu_0=4 \pi \times 10^{-7} \mathrm{Tm} \mathrm{A}^{-1}$ )
_3rd_April_Morning_Shift_en_22_1.png)
