NTA JEE Main 8th January 2020 Shift 2

A ball is dropped from the top of a 100 m high tower on a planet. In the last $$\frac{1}{2}$$ s before hitting the ground, it covers a distance of 19 m. Acceleration due to gravity (in m s$$^{-2}$$) near the surface on that planet is

An asteroid is moving directly towards the centre of the earth. When at a distance of 10R (R is the radius of the earth) from the centre of the earth, it has a speed of 12 km s$$^{-1}$$. Neglecting the effect of earth's atmosphere, what will be the speed of the asteroid when it hits the surface of the earth (escape velocity from the earth is 11.2 km s$$^{-1}$$)? Give your answer to the nearest integer in km s$$^{-1}$$

Three containers $$C_1$$, $$C_2$$ and $$C_3$$ have water at different temperatures. The table below shows the final temperature T when different amounts of water (given in liters) are taken from each container and mixed (assume no loss of heat during the process)

The value of $$\theta$$ (in $$^\circ$$C to the nearest integer) is__________

The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20 $$\Omega$$ and 5 $$\Omega$$, is connected to the parallel combination of two resistors 30 $$\Omega$$ and x $$\Omega$$. The voltage difference across the battery of internal resistance 20 $$\Omega$$ is zero, the value of x (in $$\Omega$$) is

The first member of the Balmer series of hydrogen atom has a wavelength of 6561 $$\mathring{A}$$. The wavelength of the second member of the Balmer series (in nm) is

Preparation of Bakelite proceeds via reactions:

The increasing order of the atomic radii of the following elements is:
(a) C
(b) O
(c) F
(d) Cl
(e) Br

Arrange the following bonds according to their average bond energies in descending order:
C-Cl, C-Br, C-F, C-I

Among the compounds A and B with molecular formula C$$_9$$H$$_{18}$$O$$_3$$, A is having higher boiling point than B. The possible structures of A and B are:

For the following Assertion and Reason, the correct option is:
Assertion: The pH of water increases with increase in temperature.
Reason: The dissociation of water into H$$^+$$ and OH$$^-$$ is an exothermic reaction.