Atoms and Nuclei · Physics · AP EAPCET

The principle quantum number $n$ corresponding to the exited state of $\mathrm{He}^{+}$ion. If on transition to the ground state two photons in succession with wavelength $1026 \mathop {\rm{A}}\limits^{\rm{o}}$ and $304 \mathop {\rm{A}}\limits^{\rm{o}}$ are emitted $\left(R=1.097 \times 10^{-7} \mathrm{~m}^{-1}\right)$

The ratio of minimum wavelength of Balmer series to maximum wavelength in Brackett series in hydrogen spectrum is

The half-life period of a radioactive element $A$ is 62 years. It decays into another stable element $B$. An archaeologist found a sample in which $A$ and $B$ are in 1:15 ratio. The age of the sample is

The speed of the electron in a hydrogen atom in the $n=3$ level is

(Planck's constant $=6.6 \times 10^{-34} \mathrm{Js}$ )

One mole of radium has an activity of $\frac{1}{3.7}$ kilo curie. Its decay constant is

(Avagadro number $=6 \times 10^{23} \mathrm{~mol}^{-1}$ )

An electron in the hydrogen atom excites from 2nd orbit to 4th orbit then the change in angular momentum of the electron is (Planck's constant $$h=6.64 \times 10^{-34} \mathrm{~J}-\mathrm{s}$$)

Choose the correct statement of the following

A ancient discovery found a sample, where $$75 \%$$ of the original carbon ($$\mathrm{C}^{14}$$) remains. Then the age of the sample is $$\binom{T_{\frac{1}{2}}\left(C^{14}\right)=5730 \text { years, } \ln 0.5=-0.7}{\ln (0.75)=-0.3} $$

A hydrogen atom at the ground level absorbs a photon and is excited n = 4 level. The potential energy of the electron in the excited state is

The radius of an atomic nucleus of mass number 64 is 4.8 fermi. Then the mass number of another atomic nucleus of radius 6 fermi is

Energy of a stationary electron in the hydrogen atom is $$E=\frac{13.6}{n^2} \mathrm{~eV}$$, then the energies required to excite the electron in hydrogen atom to (a) its second excited state and (b) ionised state, respectively.

The graph of $$\ln \left(\frac{R}{R_0}\right)$$ versus $\ln A$ is where $$R$$ is radius of a nucleus, $$A$$ is its mass number, and $$R_0$$ is constant

The angular momentum of the orbital electron is integral multiple of

Which of the following values is the correct order of nuclear density?

The ionisation potential of hydrogen atom is 13.6 V. How much energy need to be supplied to ionise the hydrogen atom in the first excited state?

Which of the following statement is correct?

Potential energy between a proton and an electron is given by $$U=\frac{K e^2}{3 R^3}$$, then radius of Bohr's orbit can be given by