NTA JEE Main 2025 April 4th Shift 2

From the combination of resistors with resistance values $$R_1 = R_2 = R_3 = 5 \, \Omega$$ and $$R_4 = 10 \, \Omega$$, which of the following combination is the best circuit to get an equivalent resistance of $$6\Omega$$?

A metallic ring is uniformly charged as shown in figure. AC and BD are two mutually perpendicular diameters. Electric field due to arc AB to 'O' is 'E' is magnitude. What would be the magnitude of electric field at 'O' due to arc ABC?

There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K. If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K, at steady state the pressure in the vessels will be (in kPa).

An object is kept at rest at a distance of 3R above the earth's surface where R is earth's radius. The minimum speed with which it must be projected so that it does not return to earth is : (Assume M = mass of earth, G = Universal gravitational constant)

Three parallel plate capacitors $$C_1$$, $$C_2$$ and $$C_3$$ each of capacitance 5 $$\mu$$F are connected as shown in figure. The effective capacitance between points A and B, when the space between the parallel plates of $$C_1$$ capacitor is filled with a dielectric medium having dielectric constant of 4, is :

The displacement x versus time graph is shown below.

(A) The average velocity during 0 to 3 s is 10 m/s
(B) The average velocity from 3 to 5 s is 0 m/s
(C) The instantaneous velocity at t = 2 s is 5 m/s
(D) The average velocity during 5 to 7 s and instantaneous velocity at t = 6.5 s are equal
(E) The average velocity from t = 0 to t = 9 s is zero
Choose the correct answer from the options given below:

A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is 8 m/s. The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be :

For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15 cm. The vernier scale attached to the microscope has 25 divisions equals to 24 divisions of main scale. The least count (LC) of the travelling microscope is (in cm) :

A block of mass 25 kg is pulled along a horizontal surface by a force at an angle 45 degrees with the horizontal. The friction coefficient between the block and the surface is 0.25. The displacement of 5 m  of the block is : 

Two polarisers $$P_1$$ and $$P_2$$ are placed in such a way that the intensity of the transmitted light will be zero. A third polariser $$P_3$$ is inserted in between $$P_1$$ and $$P_2$$, at the particular angle between $$P_2$$ and $$P_3$$. The transmitted intensity of the light passing through all three polarisers is maximum. The angle between the polarisers $$P_2$$ and $$P_3$$ is :