NTA JEE Main 13th April 2023 Shift 1

Which graph represents the difference between total energy and potential energy of a particle executing SHM vs its distance from mean position?

Two charges of each magnitude $$0.01$$ C and separated by a distance of $$0.4$$ mm constitute an electric dipole. If the dipole is placed in an uniform electric field $$\vec{E}$$ of $$10$$ dyne $$\cdot$$ C$$^{-1}$$ making $$30°$$ angle with $$\vec{E}$$, the magnitude of torque acting on dipole is:

Different combination of 3 resistors of equal resistance $$R$$ are shown in the figures. The increasing order for power dissipation is:
(A)

(B)

(C)

(D)

The source of time varying magnetic field may be
(A) a permanent magnet
(B) an electric field changing linearly with time
(C) direct current
(D) a decelerating charge particle
(E) an antenna fed with a digital signal
Choose the correct answer from the options given below.

Which of the following Maxwell's equation is valid for time varying conditions but not valid for static conditions:

A vessel of depth $$d$$ is half filled with oil of refractive index $$n_1$$ and the other half is filled with water of refractive index $$n_2$$. The apparent depth of this vessel when viewed from above will be-

The difference between threshold wavelengths for two metal surfaces $$A$$ and $$B$$ having work function $$\phi_A = 9$$ eV and $$\phi_B = 4.5$$ eV in nm is:
{Given, $$hc = 1242$$ eV nm}

$$^{238}_{92}$$A $$\to ^{234}_{90}$$B $$+ ^{4}_{2}$$D $$+ Q$$
In the given nuclear reaction, the approximate amount of energy released will be:
[Given, mass of $$^{238}_{92}$$A $$= 238.05079 \times 931.5$$ MeV c$$^{-2}$$, mass of $$^{234}_{90}$$B $$= 234.04363 \times 931.5$$ MeV c$$^{-2}$$, mass of $$^{4}_{2}$$D $$= 4.00260 \times 931.5$$ MeV c$$^{-2}$$]

For the following circuit and given inputs $$A$$ and $$B$$, choose the correct option for output 'Y'

Match List-I with List-II

Choose the correct answer from the options given below.