NTA JEE Main 7th January 2020 Shift 2

The sum of two forces $$\vec{P}$$ and $$\vec{Q}$$ is $$\vec{R}$$ such that $$|\vec{R}| = |\vec{P}|$$. Find the angle between resultant of $$2\vec{P}$$ and $$\vec{Q}$$, and $$\vec{Q}$$,________

Consider a uniform cubical box of side a on a rough floor that is to be moved by applying minimum possible force F at a point b above its centre of mass (see figure). If the coefficient of friction is $$\mu = 0.4$$, the maximum possible value of $$100 \times \frac{b}{a}$$ for a box not to topple before moving is

M grams of steam at 100$$^\circ$$C is mixed with 200g of ice at its melting point in a thermally insulated container. If it produces liquid water at 40$$^\circ$$C [heat of vaporization of water is 540 cal/g and heat of fusion of ice is 80 cal/g], the value of M is

A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and is connected to another uncharged 60 pF capacitor in parallel. The electrostatic energy that is lost in this process by the time the charge is redistributed between them is (in nJ)

The balancing length for a cell is 560 cm in a potentiometer experiment. When an external resistance of 10 $$\Omega$$ is connected in parallel to the cell, the balancing length changes by 60 cm. If the internal resistance of the cell is $$\frac{n}{10}$$ $$\Omega$$, where n is an integer then value of n is

The ammonia (NH$$_3$$) released on quantitative reaction of 0.6 g urea (NH$$_2$$CONH$$_2$$) with sodium hydroxide (NaOH) can be neutralized by

Within each pair of elements F and Cl, S and Se, and Li and Na, respectively, the elements that release more energy upon an electron gain are

The bond order and the magnetic characteristic of CN$$^-$$ are

Identify the correct labels of A, B and C in the following graph from the options given below:

Root mean square speed (V$$_{rms}$$); most probable speed (V$$_{mp}$$); Average speed (V$$_{av}$$)

The redox reaction among the following is