List of top Physics Questions on Bohr's model of hydrogen atom asked in MHT CET

Which of the following is an integral multiple of $\dfrac{h}{2\pi}$ in Bohr's model of an hydrogen atom?
The kinetic energy of the electron in an orbit of radius $r$ in hydrogen atom is proportional to ($e$ = electronic charge)
The angular momentum of an electron in Bohr's hydrogen atom having energy \((-0.544)\) eV is
(\(h\) = Planck's constant)
An electron in the hydrogen atom jumps from \(n^{th}\) energy state to the ground state. The wavelength so emitted illuminates a photosensitive material having work function \(2.65\) eV. If the maximum kinetic energy of the emitted photoelectrons is \(10.1\) eV, then the value of '\(n\)' is
The magnetic moment of electron due to orbital motion is proportional to
(\(n\) = principal quantum number)
If the ionisation energy for the hydrogen atom is \(13.6\) eV, then the energy required to excite it from the ground state to the next higher state is nearly
If the difference between \((n+1)^{th}\) Bohr radius and \(n^{th}\) Bohr radius is given by \((n-1)^{th}\) Bohr radius, then the value of n is
The triply ionized beryllium (\(\text{Be}^{+++}\)) has the same electron orbital radius as that of the ground state of hydrogen. Hence, the energy state of triply ionized beryllium is (Given \(Z = 4\) for beryllium)
The angular momentum of the electron in the third Bohr orbit of a hydrogen atom is '\(l\)' so its angular momentum in the fourth Bohr orbit is
The activity of a radioactive sample is measured as \(N_0\) counts per minute at time \(t = 0\) and \(\frac{N_0}{e}\) counts per minute at time \(t = 3\) minute. The time (in minute) in which the activity reduces to half the value, is
The orbital magnetic moment \((m_{orb})\) of a revolving electron around the nucleus varies with the principal quantum number (\(n\)) as
An electron makes a transition from an excited state to the ground state of a hydrogen like atom. Out of the following statements which one is correct ?
(A) K.E, P. E. and T.E. decreases
(B) K.E. increases but P. E. and T.E. decreases
(C) K.E. and T.E. decreases but P.E. increases
(D) K.E. decreases, P.E. increases but T.E. remains the same
Using Bohr's atomic model, the orbital period of electron in hydrogen atom in the \(n^{\text{th}}\) orbit is (\(ε_0\)=permittivity of free space, h=Planck's constant, m = mass of electron, e = electronic charge)
The force acting on the electron in hydrogen atom (Bohr's theory) is related to the principal quantum number n as
In the hydrogen atom, radii of the first four Bohr orbits are related as
For hydrogen atom, \(λ_1\) and \(λ_2\) are the wavelengths corresponding to the transitions \(1\) and \(2\) respectively as shown in figure. The ratio of \(λ_1\) and \(λ_2\) is \(x/32\). The value of \(x\) is
When the electron orbiting in hydrogen atom in its ground state moves to the third excited state, the de-Broglie wavelength associated with it
If 'E' and 'L' denote the magnitude of total energy and angular momentum of revolving electron in \(n^{th}\) Bohr orbit then
The wavelength of the radiation emitted is \(λ_0\) when an electron jumps from the second excited state to the first excited state of hydrogen atom. If the electron jumps from the third excited state to the second orbit of the hydrogen atom, the wavelength of the radiation emitted will be \((20λ_0/x)\). The value of \(x\) is
The ratio of centripetal acceleration for an electron revolving in 3rd and 5th Bohr orbit of hydrogen atom is
An electron is revolving in a circular orbit of radius 'r' in hydrogen atom. Using Bohr's theory, the angular momentum of the electron is
(M = magnetic dipole moment, m = mass of electron)
Bohr model is applied to a particle of mass 'm' and charge 'q' moving in a plane under the influence of a transverse magnetic field B. The energy of the charged particle in the \(n^{th}\) level will be (h=Planck's constant)
In Bohr's theory of hydrogen atom, 'r' is the radius of the orbit, 'V' is the speed of electron and E is the total energy of the electron. Out of the following which physical quantity is inversely proportional to principal quantum number?
The kinetic energy of the electron in an orbit of radius \(r\) in hydrogen atom is proportional to (\(e\) = electronic charge)
The number of revolutions per second made by an electron in the first Bohr orbit of hydrogen atom is (\(h\) = Planck's constant, \(m\) is the mass of electron and \(r\) is the radius of the orbit.)