NTA JEE Main 5th September 2020 Shift 2

The quantities $$x = \frac{1}{\sqrt{\mu_0 \varepsilon_0}}$$, $$y = \frac{E}{B}$$ and $$z = \frac{l}{CR}$$ are defined where C-capacitance, R-Resistance, $$l$$-length, E-Electric field, B-magnetic field and $$\varepsilon_0$$, $$\mu_0$$ - free space permittivity and permeability respectively. Then:

The velocity $$(v)$$ and time $$(t)$$ graph of a body in a straight line motion is shown in the figure. The point $$S$$ is at $$4.333$$ seconds. The total distance covered by the body in $$6$$ s is:

A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate $$\frac{dM(t)}{dt} = bv^2(t)$$, where $$v(t)$$ is its instantaneous velocity. The instantaneous acceleration of the satellite is:

The acceleration due to gravity on the earth's surface at the poles is $$g$$ and angular velocity of the earth about the axis passing through the pole is $$\omega$$. An object is weighed at the equator and at a height $$h$$ above the poles by using a spring balance. If the weights are found to be same, then $$h$$ is: ($$h \ll R$$, where $$R$$ is the radius of the earth)

In an experiment to verify Stokes law, a small spherical ball of radius $$r$$ and density $$\rho$$ falls under gravity through a distance $$h$$ in air before entering a tank of water. If the terminal velocity of the ball inside water is same as its velocity just before entering the water surface, then the value of $$h$$ is proportional to: (ignore viscosity of air)

Two different wires having lengths $$L_1$$ and $$L_2$$ and respective temperature coefficient of linear expansion $$\alpha_1$$ and $$\alpha_2$$, are joined end-to-end. Then the effective temperature coefficient of linear expansion is:

In an adiabatic process, the density of a diatomic gas becomes $$32n$$ times its initial value. The final pressure of the gas is found to be $$n$$ times the initial pressure. The value of $$n$$ is:

A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period $$T_1$$ and (ii) back and forth in a direction perpendicular to its plane, with a period $$T_2$$. The ratio $$\frac{T_1}{T_2}$$ will be:

A driver in a car, approaching a vertical wall notices that the frequency of his car horn has changed from $$440$$ Hz to $$480$$ Hz, when it gets reflected from the wall. If the speed of sound in air is $$345\,\text{m s}^{-1}$$, then the speed of the car is:

Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate charges 1, 3, 5, 7, 9 have charge $$(+q)$$ each, while 2, 4, 6, 8, 10 have charge $$(-q)$$ each. The potential V and the electric field E at the centre of the circle are respectively: (Take $$V = 0$$ at infinity)