Atomic Structure

The plot of radial probability density（ $4 \pi r^2 R^2$ ）against $r$ for an electron in $n p$ orbital of a many electron atom is given below．

The value of $n$ is

The mass of an electron is $9 \cdot 1 \times 10^{-31} \mathrm{~kg}$ ．If its K ．E．is $3 \cdot 0 \times 10^{-25} \mathrm{~J}$ ，its wavelength is（approximately）

Consider an electron moving in the first Bohr orbit of a \(\mathrm{He}^{+}\) ion with a velocity \(v_1\). If it is allowed to move in the third Bohr orbit with a velocity \(v_3\), then indicate the correct \(v_3: v_1\) ratio.

Which hydrogen like species will have the same radius as that of \(1^{\text {st }}\) Bohr orbit of hydrogen atom?

An electron in the 5d orbital can be represented by the following (n, l, m) values

Two base balls (masses : m\(_1\) = 100 g, and m\(_2\) = 50 g) are thrown. Both of them move with uniform velocity, but the velocity of m\(_2\) is 1.5 times that of m\(_1\). The ratio of de Broglie wavelengths \(\lambda\)(m\(_1\)) : $$\lambd...

Which one of the following is the correct set of four quantum numbers (n, 1, m, s) ?

In Bohr model of atom, radius of hydrogen atom in ground state is r1 and radius of He+ ion in ground state is r2. Which of the following is correct?

The de-Broglie wavelength (\(\lambda\)) for electron (e), proton (p) and He2+ ion (\(\alpha\)) are in the following order. Speed of e, p and \(\alpha\) are the same

The number of unpaired electron in Mn2+ ion is

The atomic masses of helium and neon are 4.0 and 20.0 amu respectively. The value of the de-Broglie wavelength of helium gas at \(-\)73\(^\circ\)C is M times the de-Broglie wavelength of neon at 727\(^\circ\)C. The value of M is

The number of unpaired electrons in the uranium (92U) atom is

The difference between orbital angular momentum of an electron in a 4f -orbital and another electron in a 4s-orbital is

The radius of the first Bohr orbit of a hydrogen atom is 0.53 \(\times {10^-8}\) cm. The velocity of the electron in the first Bohr orbit is

The maximum number of electrons in an atom in which the last electron filled has the quantum numbers n = 3, l = 2 and m = \(-\)
1 is

Which one of the following electronic arrangements is absurd?

The number of unpaired electrons in Ni (atomic number = 28) are

Which of the following electronic configuration is not possible?

Which one of the following corresponds to a photon of highest energy?

Which of the following sets of quantum numbers represents the 19th electron of Cr(Z = 24) ?

If the given four electronic configurations.(i) n = 4, l = 1(ii) n = 4, l = 0(iii) n = 3, l = 2(iv) n = 3, l = 1are arranged in order of increasing energy, then the order will be

The time taken for an electron to complete one revolution in Bohr orbit of hydrogen atom is

The energy required to break one mole of hydrogen-hydrogen bonds in H2 is 436 kJ. What is the longest wavelength of light required to break a single hydrogen-hydrogen bond?