NTA JEE Main 29th June 2022 Shift 1

A longitudinal wave is represented by $$y = 10 \sin 2\pi\left(nt - \frac{x}{\lambda}\right)$$ cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to

A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength $$1 \times 10^5$$ N C$$^{-1}$$. If the charge on the particle is 40 $$\mu$$C and the initial velocity is 200 m s$$^{-1}$$, how much distance it will travel before coming to the rest momentarily

A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged. The dielectric slab is replaced by another slab of dielectric constant 15. Then the energy of capacitor will

At a certain place the angle of dip is 30° and the horizontal component of earth's magnetic field is 0.5 G. The earth's total magnetic field (in G), at that certain place, is

A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charge particle?

For a series $$LCR$$ circuit, $$I$$ vs $$\omega$$ curve is shown

(a) To the left of $$\omega_r$$, the circuit is mainly capacitive.
(b) To the left of $$\omega_r$$, the circuit is mainly inductive.
(c) At $$\omega_r$$, impedance of the circuit is equal to the resistance of the circuit.
(d) At $$\omega_r$$, impedance of the circuit is 0.
Choose the most appropriate answer from the options given below.

Using Young's double slit experiment, a monochromatic light of wavelength 5000 A produces fringes of fringe width 0.5 mm. If another monochromatic light of wavelength 6000 A is used and the separation between the slits is doubled, then the new fringe width will be

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: The photoelectric effect does not take place, if the energy of the incident radiation is less than the work function of a metal.
Reason R: Kinetic energy of the photoelectrons is zero, if the energy of the incident radiation is equal to the work function of a metal.

The activity of a radioactive material is $$2.56 \times 10^{-3}$$ Ci. If the half life of the material is 5 days, after how many days the activity will become $$2 \times 10^{-5}$$ Ci?

Only 2% of the optical source frequency is the available channel bandwidth for an optical communicating system operating at 1000 nm. If an audio signal requires a bandwidth of 8 kHz, how many channels can be accommodated for transmission