NTA JEE Main 2025 April 02 Shift 2

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x-direction in 0.3 sec. The crest P is at $$x = 0$$ at $$t = 0$$ sec and maximum displacement of the wave is 2 cm. Which equation correctly represents this wave ?

Given a charge q, current I and permeability of vacuum $$\mu_0$$. Which of the following quantity has the dimension of momentum ?

A solenoid having area A and length 'l' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is :

Two large plane parallel conducting plates are kept 10 cm apart as shown in figure. The potential difference between them is V. The potential difference between the points A and B (shown in the figure) is :

Identify the characteristics of an adiabatic process in a monoatomic gas.
(A) Internal energy is constant.
(B) Work done in the process is equal to the change in internal energy.
(C) The product of temperature and volume is a constant.
(D) The product of pressure and volume is a constant.
(E) The work done to change the temperature from $$T_1$$ to $$T_2$$ is proportional to $$(T_2 - T_1)$$

Choose the correct answer from the options given below :

Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of $$Li^{2+}$$ ion in its ground state is given by $$\frac{1}{X}a_0$$, where $$X =$$ ________. (Where $$a_0$$ is the first Bohr's radius.)

Energy released when two deuterons $$(_{1}H^2)$$ fuse to form a helium nucleus $$(_{2}He^4)$$ is :
(Given : Binding energy per nucleon of $$_{1}H^2 = 1.1$$ MeV and binding energy per nucleon of $$_{2}He^4 = 7.0$$ MeV)

In the digital circuit shown in the figure, for the given inputs the P and Q values are :

Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12 cm, at same distance of 18 cm from the respective mirrors. The ratio of the sizes of images formed by convex mirror and by concave mirror is :

A sportsman runs around a circular track of radius r such that he traverses the path ABAB. The distance travelled and displacement, respectively, are :