NTA JEE Main 11th April 2023 Shift 1

A parallel plate capacitor of capacitance 2 F is charged to a potential $$V$$. The energy stored in the capacitor is $$E_1$$. The capacitor is now connected to another uncharged identical capacitor in parallel combination. The energy stored in the combination is $$E_2$$. The ratio $$\frac{E_2}{E_1}$$ is

Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:

The current sensitivity of moving coil galvanometer is increased by 25%. This increase is achieved only changing in the number of turns of coils and area of cross section of the wire while keeping the resistance of galvanometer coil constant. The percentage change in the voltage sensitivity will be:

The free space inside a current carrying toroid is filled with a material of susceptibility $$2 \times 10^{-2}$$. The percentage increase in the value of magnetic field inside the toroid will be

As per the given graph, choose the correct representation for curve A and curve B
{Where $$X_C$$ = Reactance of pure capacitive circuit connected with A.C. source
$$X_L$$ = Reactance of pure inductive circuit connected with A.C. source
$$R$$ = Impedance of pure resistive circuit connected with A.C. source
$$Z$$ = Impedance of the LCR series circuit}

The critical angle for a denser-rarer interface is 45$$^\circ$$. The speed of light in rarer medium is $$3 \times 10^8$$ m s$$^{-1}$$. The speed of light in the denser medium is:

A metallic surface is illuminated with radiation of wavelength $$\lambda$$, the stopping potential is $$V_0$$. If the same surface is illuminated with radiation of wavelength $$2\lambda$$, the stopping potential becomes $$\frac{V_0}{4}$$. The threshold wavelength for this metallic surface will be

Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B. If $$\lambda_A$$ and $$\lambda_B$$ are decay constants of A and B respectively, then choose the correct relation from the given options.

The logic performed by the circuit shown in figure is equivalent to

A transmitting antenna is kept on the surface of the earth. The minimum height of receiving antenna required to receive the signal in line of sight at 4 km distance from it is $$x \times 10^{-2}$$ m. The value of $$x$$ is _____.
(Let, radius of earth R = 6400 km)