NTA JEE Main 2nd September 2020 Shift 1

A small block starts slipping down from a point B on an inclined plane AB, which is making an angle $$\theta$$ with the horizontal section BC is smooth and the remaining section CA is rough with a coefficient of friction $$\mu$$. It is found that the block comes to rest as it reaches the bottom (point A) of the inclined plane. If $$BC = 2AC$$, the coefficient of friction is given by $$\mu = k \tan\theta$$. The value of $$k$$ is ___________.

An engine takes in 5 moles of air at 20 $$°$$C and 1 atm, and compresses it adiabatically to $$1/10^{th}$$ of the original volume. Assuming air to be a diatomic ideal gas made up of rigid molecules, the change in its internal energy during this process comes out to be X kJ. The value of X to the nearest integer is:

A 5 $$\mu$$F capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in series to another uncharged 2.5 $$\mu$$F capacitor. If the energy change during the charge redistribution is $$\frac{X}{100}$$ J then value of X to the nearest integer is:

A circular coil of radius 10 cm is placed in a uniform magnetic field of $$3.0 \times 10^{-5}$$ T with its plane perpendicular to the field initially. It is rotated at constant angular speed about an axis along the diameter of coil and perpendicular to magnetic field so that it undergoes half of rotation in 0.2 s. The maximum value of EMF induced (in $$\mu$$V) in the coil will be close to the integer ___________.

When radiation of wavelength A is used to illuminate a metallic surface, the stopping potential is V. When the same surface is illuminated with radiation of wavelength 3A, the stopping potential is $$\frac{V}{4}$$. If the threshold wavelength for the metallic surface is $$n\lambda$$ then value of n will be ___________.

The figure that is not a direct manifestation of the quantum nature of atom is:

In general, the property (magnitudes only) that shows an opposite trend in comparison to other properties across a period is:

If $$AB_4$$ molecule is a polar molecule, a possible geometry of $$AB_4$$ is:

Which one of the following graphs is not correct for ideal gas?
d = Density, P = Pressure, T = Temperature

For the following Assertion and Reason, the correct option is:
Assertion (A): When Cu (II) and sulphide ions are mixed, they react together extremely quickly to give a solid.
Reason (R): The equilibrium constant of $$Cu^{2+}(aq) + S^{2-}(aq) \rightleftharpoons CuS(s)$$ is high because the solubility product is low.