NTA JEE Main 27th August 2021 Shift 1

Calculate the amount of charge on capacitor of 4 $$\mu$$F. The internal resistance of battery is 1$$\Omega$$:

Five identical cells each of internal resistance 1 $$\Omega$$ and emf 5 V are connected in series and in parallel with an external resistance $$R$$. For what value of $$R$$, current in series and parallel combination will remain the same?

Two ions of masses 4 amu and 16 amu have charges +2e and +3e respectively. These ions pass through the region of the constant perpendicular magnetic field. The kinetic energy of both ions is the same. Then:

A bar magnet is passing through a conducting loop of radius $$R$$ with velocity $$v$$. The radius of the bar magnet is such that it just passes through the loop. The induced e.m.f. in the loop can be represented by the approximate curve:

The electric field in a plane electromagnetic wave is given by, $$E = 50\sin(500x - 10 \times 10^{10}t)$$ V m$$^{-1}$$. The velocity of an electromagnetic wave in this medium is: (Given $$c$$ = the speed of light in vacuum).

An object is placed beyond the centre of curvature $$C$$ of the given concave mirror. If the distance of the object is $$d_1$$ from $$C$$ and the distance of the image formed is $$d_2$$ from $$C$$, the radius of curvature of this mirror is:

Find the distance of the image from object $$O$$, formed by the combination of lenses in the figure:

In a photoelectric experiment, increasing the intensity of incident light:

There are $$10^{10}$$ radioactive nuclei in a given radioactive element. Its half-life time is 1 min. How many nuclei will remain after 30 s? $$(\sqrt{2} = 1.414)$$

For a transistor in CE mode to be used as an amplifier, it must be operated in: