JEE (Advanced) 2025 Paper-1

A circuit with an electrical load having impedance $$Z$$ is connected with an AC source as shown in the diagram. The source voltage varies in time as $$V(t) = 300 \sin(400t)$$ V, where $$t$$ is time in s. List-I shows various options for the load. The possible currents $$i(t)$$ in the circuit as a function of time are given in List-II.

Choose the option that describes the correct match between the entries in List-I to those in List-II.

List-I shows various functional dependencies of energy ($$E$$) on the atomic number ($$Z$$). Energies associated with certain phenomena are given in List-II.

Choose the option that describes the correct match between the entries in List-I to those in List-II.

The heating of NH$$_4$$NO$$_2$$ at 60-70 $$^\circ$$C and NH$$_4$$NO$$_3$$ at 200-250 $$^\circ$$C is associated with the formation of nitrogen containing compounds X and Y, respectively. X and Y, respectively, are

The correct order of the wavelength maxima of the absorption band in the ultraviolet-visible region for the given complexes is

One of the products formed from the reaction of permanganate ion with iodide ion in neutral aqueous medium is

Consider the depicted hydrogen (H) in the hydrocarbons given below. The most acidic hydrogen (H) is

Regarding the molecular orbital (MO) energy levels for homonuclear diatomic molecules, the INCORRECT statement(s) is(are)

The pair(s) of diamagnetic ions is(are)

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

(In the options, X is any atom other than carbon and hydrogen, and it is different in P, Q and R)

In an electrochemical cell, dichromate ions in aqueous acidic medium are reduced to Cr$$^{3+}$$. The current (in amperes) that flows through the cell for 48.25 minutes to produce 1 mole of Cr$$^{3+}$$ is ________.

Use: 1 Faraday = 96500 C mol$$^{-1}$$