JEE (Advanced) 2025 Paper-2

A projectile of mass 200 g is launched in a viscous medium at an angle 60° with the horizontal, with an initial velocity of 270 m/s. It experiences a viscous drag force $$\vec{F} = -c\vec{v}$$ where the drag coefficient $$c = 0.1$$ kg/s and $$\vec{v}$$ is the instantaneous velocity of the projectile. The projectile hits a vertical wall after 2 s. Taking $$e = 2.7$$, the horizontal distance of the wall from the point of projection (in m) is ______.

An audio transmitter (T) and a receiver (R) are hung vertically from two identical massless strings of length 8 m with their pivots well separated along the $$X$$ axis. They are pulled from the equilibrium position in opposite directions along the $$X$$ axis by a small angular amplitude $$\theta_0 = \cos^{-1}(0.9)$$ and released simultaneously. If the natural frequency of the transmitter is 660 Hz and the speed of sound in air is 330 m/s, the maximum variation in the frequency (in Hz) as measured by the receiver is ______.

(Take the acceleration due to gravity $$g = 10$$ m/s$$^2$$)

During sodium nitroprusside test of sulphide ion in an aqueous solution, one of the ligands coordinated to the metal ion is converted to

The complete hydrolysis of ICl, ClF$$_3$$ and BrF$$_5$$, respectively, gives

Monocyclic compounds P, Q, R and S are the major products formed in the reaction sequences given below.

The product having the highest number of unsaturated carbon atom(s) is

The correct reaction/reaction sequence that would produce a dicarboxylic acid as the major product is

The correct statement(s) about intermolecular forces is(are)

The compound(s) with P-H bond(s) is(are)

For the reaction sequence given below, the correct statement(s) is(are)

For the reaction sequence given below, the correct statement(s) is(are)