NTA JEE Main 2025 April 3rd Shift 2

Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of the maximum to minimum is

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: The Bohr model is applicable to hydrogen and hydrogen-like atoms only.
Reason R: The formulation of Bohr model does not include repulsive force between electrons.
In the light of the above statements, choose the correct answer from the options given below:

Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage across the second capacitor is 20 V, its capacitance is (in pF):

A monochromatic light of frequency $$5 \times 10^{14}$$ Hz travelling through air, is incident on a medium of refractive index '2'. Wavelength of the refracted light will be:

Consider two blocks A and B of masses $$m_1 = 10$$ kg and $$m_2 = 5$$ kg that are placed on a frictionless table. The block A moves with a constant speed $$v = 3$$ m/s towards the block B kept at rest. A spring with spring constant $$k = 3000$$ N/m is attached with the block B as shown in the figure. After the collision, suppose that the blocks A and B, along with the spring in constant compression state, move together, then the compression in the spring is, (Neglect the mass of the spring)

A particle is projected with velocity $$u$$ so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as $$\dfrac{nu^2}{25g}$$, where value of n is: (Given 'g' is the acceleration due to gravity).

A solid steel ball of diameter 3.6 mm acquired terminal velocity $$2.45 \times 10^{-2}$$ m/s while falling under gravity through an oil of density $$925 \text{ kg m}^{-3}$$. Take density of steel as $$7825 \text{ kg m}^{-3}$$ and g as $$9.8 \text{ m/s}^2$$. The viscosity of the oil in SI unit is

The truth table corresponding to the circuit given below is

A particle moves along the x-axis and has its displacement x varying with time t according to the equation $$x = c_0(t^2 - 2) + c(t - 2)^2$$ where $$c_0$$ and $$c$$ are constants of appropriate dimensions. Then, which of the following statements is correct?

An electric bulb rated as 100 W-220 V is connected to an ac source of rms voltage 220 V. The peak value of current through the bulb is: