JEE Advance Previous Year Questions (PYQ)

JEE Advanced 2026 Paper - 1

Consider a hydrogen atom with \( v_{k} \), \( r_{k} \), and \( K_{k} \) denoting the velocity, orbital radius and kinetic energy of the electron in the \( k^{\text{th}} \) orbit, respectively. The electron undergoes a transition from the \( n^{\text{th}} \) orbit, emitting radiation corresponding to the Lyman series. Considering \( h \) to be the Planck’s constant and \( \epsilon_{0} \) the permittivity of the free space, the correct statement(s) is/are:

2.

A nuclear reactor starts producing a radioactive nuclide \(X\) from \(t = 0\), at a constant rate of \(\alpha\) per second. Each decay of \(X\) produces energy \(E_{0}\), which is utilized to heat a liquid of mass \(m\) and specific heat \(s\). Assuming no heat loss from the liquid and taking \(\lambda\) as the decay constant of \(X\), the rate of increase in the temperature of the liquid is:

3.

Consider a hydrogen atom with \( v_{k} \), \( r_{k} \), and \( K_{k} \) denoting the velocity, orbital radius and kinetic energy of the electron in the \( k^{\text{th}} \) orbit, respectively. The electron undergoes a transition from the \( n^{\text{th}} \) orbit, emitting radiation corresponding to the Lyman series. Considering \( h \) to be the Planck’s constant and \( \epsilon_{0} \) the permittivity of the free space, the correct statement(s) is/are:

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JEE Mains JEE Advance BITSAT
JEE Advance | PYQ