NTA JEE Main 27th August 2021 Shift 2

Three capacitors $$C_1 = 2 \mu$$F, $$C_2 = 6 \mu$$F and $$C_3 = 12 \mu$$F are connected as shown in the figure. Find the ratio of the charges on capacitors $$C_1$$, $$C_2$$ and $$C_3$$ respectively.

For full scale deflection of total 50 divisions, 50 mV voltage is required in galvanometer. The resistance of galvanometer if its current sensitivity is 2 div / mA will be:

The colour coding on a carbon resistor is shown in the given figure. The resistance value of the given resistor is:

A coaxial cable consists of an inner wire of radius $$a$$ surrounded by an outer shell of inner and outer radii $$b$$ and $$c$$ respectively. The inner wire carries an electric current $$i_0$$ which is distributed uniformly across cross-sectional area. The outer shell carries an equal current in opposite direction and distributed uniformly. What will be the ratio of the magnetic field at a distance $$x$$ from the axis when (i) $$x \lt a$$ and (ii) $$a \lt x \lt b$$?

A constant magnetic field of 1 T is applied in the $$x > 0$$ region. A metallic circular ring of radius 1 m is moving with a constant velocity of 1 m s$$^{-1}$$ along the $$x$$-axis. At $$t = 0$$ s, the centre O of the ring is at $$x = -1$$ m. What will be the value of the induced emf in the ring at t = 1 s? (Assume the velocity of the ring does not change.)

Curved surfaces of a plano-convex lens of refractive index $$\mu_1$$ and a plano-concave lens of refractive index $$\mu_2$$ have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the combined lenses.

The light waves from two coherent sources have same intensity $$I_1 = I_2 = I_0$$. In interference pattern the intensity of light at minima is zero. What will be the intensity of light at maxima?

A monochromatic neon lamp with wavelength of 670.5 nm illuminates a photo-sensitive material which has a stopping voltage of 0.48 V. What will be the stopping voltage if the source light is changed with another source of wavelength of 474.6 nm?

For a transistor $$\alpha$$ and $$\beta$$ are given as $$\alpha = \frac{I_c}{I_E}$$ and $$\beta = \frac{I_c}{I_B}$$. Then the correct relation between $$\alpha$$ and $$\beta$$ will be:

An antenna is mounted on a 400 m tall building. What will be the wavelength of signal that can be radiated effectively by the transmission tower upto a range of 44 km?