Bohr's Model for the Hydrogen Atom

According to the Bohr Theory, among the following, which transition in the hydrogen atom will give rise to the least energetic photon?

The energy of the second Bohr orbit of the hydrogen atom is $-328 \mathrm{kJ} {\mathrm{mol}}^{-1}$. Hence, the energy of the fourth Bohr orbit would be

The radius of hydrogen atom in the ground state is  $0.53\mathrm{\AA }.$  The radius of  ${\mathrm{Li}}^{2+}$ ion (Atomic number = $3$) in first orbit is

Which of the following is the correct value of most probable radius for locating the electron in ${\mathrm{He}}^{+}$?

Using Bohr's theory, calculate the radius(in $\mathrm{\AA }$) of the tenth orbit in the hydrogen atom.

Express the answer to the nearest integer value.

In a certain electronic transition in the hydrogen atoms from an initial state $\left(1\right)$ to the final state $\left(2\right)$, the difference in the orbital radius $({\mathrm{r}}_1-{\mathrm{r}}_2)$ is $24$ times the first Bohr radius. Identify the transition.

Which is the correct relation between energies of one electron species?

${\mathrm{E}}_1=$Energy of electron in the first Bohr orbit, ${\mathrm{E}}_2=$Energy of electron in the second Bohr orbit, ${\mathrm{E}}_3=$Energy of electron in the third Bohr orbit, ${\mathrm{E}}_4=$Energy of electron in the fourth Bohr orbit.

The radii of two of the first four Bohr orbits of the hydrogen atom are in the ratio $1:4.$ The energy difference between them may be

Suppose that an excited hydrogen atom returns to the ground state, the wavelength of the emitted photon is $\mathrm{\lambda }$. What will be the principal quantum number of the excited state?

If Bohr radius is represented by ${\mathrm{a}}_0,$ the radius of the second orbit of helium ion $\left(\mathrm{H}{\mathrm{e}}^{+}\right)$ will be _____ $\stackrel{°}{\mathrm{A}}$. (Correct upto 3 decimal places)

If the velocity of the revolving electron of ${\mathrm{He}}^{+}$ in the first orbit $(\mathrm{n}=1)$ is $\mathrm{v},$ the velocity of the electron in the second orbit is:

Suppose that a hypothetical atom gives a red, green, blue and violet line in the spectrum. Which jump according to figure would give off the red spectral line?

In a certain electronic transition in the hydrogen atoms from an initial state $\left(1\right)$ to the final state $\left(2\right)$, the difference in the orbital radius $({\mathrm{r}}_1-{\mathrm{r}}_2)$ is $24$ times the first Bohr radius. Identify the transition.

The radii of two of the first four Bohr orbits of the hydrogen atom are in the ratio $1:4.$ The energy difference between them may be

The correct statements among the following.

i. ${\mathrm{E}}_{2\mathrm{s}}\left(\mathrm{H}\right)>{\mathrm{E}}_{2\mathrm{s}}\left(\mathrm{Li}\right)<{\mathrm{E}}_{2\mathrm{s}}\left(\mathrm{Na}\right)>{\mathrm{E}}_{2\mathrm{s}}\left(\mathrm{K}\right)$
ii. The maximum number of electrons in the shell with principal quantum number $n$ is equal to $2n^2$
iii. Extra stability of half-filled subshell is due to smaller exchange energy.
iv. Only two electrons, irrespective of their spin, may exist in the same orbital are.

If the radius of electron orbit in the excited state of hydrogen atom is $476.1 \mathrm{pm}$, the energy of electron in that excited state in $\mathrm{J}$ is (Radius and energy of electron in the first orbit of hydrogen atom are $52.9 \mathrm{pm}$ and $-2.18\times {10}^{-18} \mathrm{J}$ respectively)

If Bohr radius is represented by ${\mathrm{a}}_0,$ the radius of the second orbit of helium ion $\left(\mathrm{H}{\mathrm{e}}^{+}\right)$ will be _____ $\stackrel{°}{\mathrm{A}}$. (Correct upto three decimal places)

$\mathrm{A} : 1.258$

$\mathrm{B} : 1.158$

$\mathrm{C} : 1.058$

Enter your answer as $\mathrm{A}, \mathrm{B} \mathrm{or} \mathrm{C}$.

In hydrogen atom, energy of the first excited state is $-3.4 \mathrm{e}\mathrm{V}.$ Then find out the K.E. of the same orbit of $\mathrm{H}$-atom.

For which of the following species, Bohr’s theory is not applicable?

The velocity of the electron in the third orbit of hydrogen atom will be