NTA JEE Mains 1st Feb 2024 Shift 2

A galvanometer G of $$2\Omega$$ resistance is connected in the given circuit. The ratio of charge stored in $$C_1$$ and $$C_2$$ is

In a metre-bridge when a resistance in the left gap is $$2 \Omega$$ and unknown resistance in the right gap, the balance length is found to be 40 cm. On shunting the unknown resistance with $$2 \Omega$$, the balance length changes by:

In an ammeter, 5% of the main current passes through the galvanometer. If resistance of the galvanometer is G, the resistance of ammeter will be:

To measure the temperature coefficient of resistivity $$\alpha$$ of a semiconductor, an electrical arrangement shown in the figure is prepared. The arm BC is made up of the semiconductor. The experiment is being conducted at 25°C and resistance of the semiconductor arm is $$3 \text{ m}\Omega$$. Arm BC is cooled at a constant rate of $$2 \text{ °C s}^{-1}$$. If the galvanometer G shows no deflection after 10 s, then $$\alpha$$ is

A transformer has an efficiency of 80% and works at 10 V and 4 kW. If the secondary voltage is 240 V, then the current in the secondary coil is:

If frequency of electromagnetic wave is 60 MHz and it travels in air along z direction then the corresponding electric and magnetic field vectors will be mutually perpendicular to each other and the wavelength of the wave in m is:

A microwave of wavelength 2.0 cm falls normally on a slit of width 4.0 cm. The angular spread of the central maxima of the diffraction pattern obtained on a screen 1.5 m away from the slit, will be:

Monochromatic light of frequency $$6 \times 10^{14}$$ Hz is produced by a laser. The power emitted is $$2 \times 10^{-3}$$ W. How many photons per second on an average, are emitted by the source? (Given $$h = 6.63 \times 10^{-34}$$ J s)

From the statements given below:
(A) The angular momentum of an electron in $$n^{th}$$ orbit is an integral multiple of $$h$$.
(B) Nuclear forces do not obey inverse square law.
(C) Nuclear forces are spin dependent.
(D) Nuclear forces are central and charge independent.
(E) Stability of nucleus is inversely proportional to the value of packing fraction.
Choose the correct answer from the options given below:

Conductivity of a photodiode starts changing only if the wavelength of incident light is less than 660 nm. The band gap of photodiode is found to be $$\frac{X}{8}$$ eV. The value of X is: (Given $$h = 6.6 \times 10^{-34}$$ J s, $$e = 1.6 \times 10^{-19}$$ C)