Atoms and Nuclei · Physics · WB JEE

The ionisation potential of hydrogen atom is $$-$$13.6 eV. An electron in the ground state of a hydrogen atom absorbs a photon of energy 12.75 eV. How many different spectral lines can one expect when the electron make a downward transition?

Which of the following statements is correct?

Which of the following statement(s) is/are truc in respect of nuclear binding energy ?

(i) The mass energy of a nucleus is larger than the total mass energy of its individual protons and neutrons.

(ii) If a nucleus could be separated into its nucleons, an energy equal to the binding energy would have to be transferred to the particles during the separating process.

(iii) The binding energy is a measure of how well the nucleons in a nucleus are held together.

(iv) The nuclear fission is somehow related to acquiring higher binding energy.

If the potential energy of a hydrogen atom in the first excited state is assumed to be zero, then the total energy of n = $$\infty$$ state is,

If the kinetic energies of an electron, an alpha particle and a proton having same de-Broglie wavelength are $${\varepsilon _1},{\varepsilon _2}$$ and $${\varepsilon _3}$$ respectively, then

Suppose in a hypothetical world the angular momentum is quantized to be even integral multiples of $${h \over {2\pi }}$$. The largest possible wavelength emitted by hydrogen atoms in visible range in a world according to Bohr's model will be,

(Consider hc = 1242 Mev-fm)

A uniform magnetic field B exists in a region. An electron of charge q and mass m moving with velocity v enters the region in a direction perpendicular to the magnetic field. Considering Bohr angular momentum quantization, which of the following statements is/are true?

A sample of hydrogen atom in its ground state is radiated with photons of 10.2 eV energies. The radiation from the sample is absorbed by excited ionized He⁺. Thenwhich of the following statement/s is/are true?