NTA JEE Mains 5th April Shift 2 2026

An object of uniform density rolls up a curved path with the initial velocity $$v_{\circ}$$ as shown in the figure. If the maximum height attained by an object is  $$\frac{7v_0^2}{10g}$$. (g = acceleration due to gravity), The object is a :

A body of mass $$m$$ is taken from the surface of the earth to a height equal to twice the radius of earth$$(R_e)$$. The increase in potential energy will be  :
(g is acceleration due to gravity at the surface of earth) 

Eight mercury drops, each of radius $$r$$ coalesce to form a bigger  drop. The surface energy released in this process is_________ .
( S is the surface tension of mercury).

An ideal gas at pressure $$P$$ and temperature $$T$$ is expanding such that $$PT^3 = \text{constant}$$. The coefficient of volume expansion of the gas is :

Match the List I with List II:

Choose the correct answer from the options given below: 

A metal rod of length $$L$$ rotates about one end at origin with a uniform angular velocity $$\omega$$. The magnetic field radially falls off as $$B(r) = B_0 e^{-\lambda r}$$. $$\lambda$$ being a positive constant. The EMF induced (neglecting the centripetal force on electrons in the rod) is :

Under steady state condition the potential difference across the capacitor in the circuit is________  V.

A particle of charge $$q$$ and  mass $$m$$ is projected  from origin with an initial velocity has  $$\vec{v} = \frac{v_0}{\sqrt{2}}\hat{x} + \frac{v_0}{\sqrt{2}}\hat{y}$$.There exists a uniform magnetic field  $$\vec{B} = B_0\hat{z}$$ and a space varying electric field  $$\vec{E} = E_0 e^{-\lambda x}\hat{x}$$ within the region $$0 \leq x \leq L$$.After travelling a distance such that x-coordinate has changed from $$x=0$$ to $$x=L$$,the change in the  kinetic energy  is_________.

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): The Electromagnetic waves exert pressure on the surface on which they ar allowed to fall.

Reason (R): There is no mass associated with the electromagnetic waves.
In the light of the above statements,  Choose the correct answer from the options given below :

A thin convex lens and a thin concave lens are kept in  contact and are co-axial. Which of the following statements is correct for this combination of two lenses ?