NTA JEE Main 17th March 2021 Shift 1

For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal?

A current of 10 A exists in a wire of cross-sectional area of 5 mm$$^2$$ with a drift velocity of $$2 \times 10^{-3}$$ m s$$^{-1}$$. The number of free electrons in each cubic meter of the wire is:

A solenoid of 1000 turns per metre has a core with relative permeability 500. Insulated windings of the solenoid carry an electric current of 5 A. The magnetic flux density produced by the solenoid is: (Permeability of free space = $$4\pi \times 10^{-7}$$ H m$$^{-1}$$)

An AC current is given by $$I = I_1 \sin\omega t + I_2 \cos\omega t$$. A hot wire ammeter will give a reading:

The thickness at the centre of a plano convex lens is 3 mm and the diameter is 6 cm. If the speed of light in the material of the lens is $$2 \times 10^8$$ m s$$^{-1}$$. The focal length of the lens is:

An electron of mass $$m$$ and a photon have same energy $$E$$. The ratio of wavelength of electron to that of photon is: ($$c$$ being the velocity of light)

If an electron is moving in the $$n^{th}$$ orbit of the hydrogen atom, then its velocity ($$v_n$$) for the $$n^{th}$$ orbit is given as:

Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

The output of the given combination gates represents:

The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it was noted that 0 on the vernier scale lies between 8.5 cm and 8.6 cm. Vernier coincidence is 6, then the correct value of measurement is cm. (least count = 0.01 cm)