NTA JEE Main 5th September 2020 Shift 2

In the circuit shown, charge on the $$5\,\mu\text{F}$$ capacitor is:

A parallel plate capacitor has plate of length $$l$$, width $$w$$ and separation of plates is $$d$$. It is connected to a battery of emf $$V$$. A dielectric slab of the same thickness $$d$$ and of dielectric constant $$K = 4$$ is being inserted between the plates of the capacitor. At what length of the slab inside plates, will the energy stored in the capacitor be two times the initial energy stored?

A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of $$6\,mA$$ it produces a deflection of $$2^\circ$$, its figure of merit is close to:

In the circuit, given in the figure currents in different branches and value of one resistor are shown. Then potential at point $$B$$ with respect to the point $$A$$ is:

An iron rod of volume $$10^{-3}\,\text{m}^3$$ and relative permeability 1000 is placed as core in a solenoid with 10 turns $$\text{cm}^{-1}$$. If a current of $$0.5\,\text{A}$$ is passed through the solenoid, then the magnetic moment of the rod will be:

An infinitely long straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding connector are located in the same plane, as shown in the figure. The connector has length $$l$$ and resistance $$R$$. It slides to the right with a velocity $$v$$. The resistance of the conductor and the self inductance of the loop are negligible. The induced current in the loop, as a function of separation $$r$$, between the connector and the straight wire is:

The correct match between the entries in column I and column II are:
I (Radiation)               II (Wavelength)
a. Microwave               i. 100 m
b. Gamma rays            ii. $$10^{-15}$$ m
c. A.M. radio                iii. $$10^{-10}$$ m
d. X-rays                       iv. $$10^{-3}$$ m

Two coherent sources of sound, $$S_1$$ and $$S_2$$, produce sound waves of the same wavelength $$\lambda = 1\,\text{m}$$ are in phase. $$S_1$$ and $$S_2$$ are placed $$1.5\,\text{m}$$ apart (see fig). A listener, located at L, directly in front of $$S_2$$, finds that the intensity is at a minimum when he is $$2\,\text{m}$$ away from $$S_2$$. The listener moves away from $$S_1$$, keeping the distance from $$S_2$$ fixed. The adjacent maximum of intensity is observed when the listener is at a distance $$d$$ from $$S_1$$. Then $$d$$ is:

A radioactive nucleus decays by two different processes. The half-life for the first process is $$10\,\text{s}$$ and that for the second is $$100\,\text{s}$$. The effective half-life of the nucleus is close to:

Two Zener diodes ($$A$$ and $$B$$) having breakdown voltages of $$6\,\text{V}$$ and $$4\,\text{V}$$ respectively, are connected as shown in the circuit below. The output voltage $$V_0$$ variation with input voltage linearly increasing with time, is given by ($$V_{input} = 0V$$ at $$t = 0$$):