Ques. 1JEE Advanced 2025 (Paper-1)
Consider an electron in the n=3 orbit of a hydrogen-like atom with atomic number Z. At absolute temperature T, a neutron having thermal energy kBT has the same de Broglie wavelength as that of this electron. If this temperature is given by T= Z2h2 2a02mNkB, (where h is the Planck's constant, kB is the Boltzmann constant, mN is the mass of the neutron and a0 is the first Bohr radius of hydrogen atom) then the value of is