(C) According to Bohr's theory,the velocity of an electron in a stationary orbit is given by $v = \frac{2 \pi Z e^2}{n h}$.This expression shows that

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On doubling the mass of electron (hypothetically) moving in stationary orbit its kinetic energy will increase.

(C) According to Bohr's theory,the velocity of an electron in a stationary orbit is given by $v = \frac{2 \pi Z e^2}{n h}$.This expression shows that the velocity $v$ is independent of the mass of the electron $(m_e)$. Thus,doubling the mass does not change the velocity.However,the kinetic energy $(KE)$ of an electron is given by $KE = \frac{1}{2} m_e v^2$.Since $KE \propto m_e$,if the mass of the electron is doubled,the kinetic energy will also double,meaning it increases.

Class 11 Chemistry Structure of Atom Atomic models and Planck's quantum theory

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Which of the following is correct regarding Bohr's theory?

A
On doubling the mass of electron (hypothetically) moving in stationary orbit its velocity increases.
B
On doubling the mass of electron (hypothetically) moving in stationary orbit its velocity decreases.
C
On doubling the mass of electron (hypothetically) moving in stationary orbit its kinetic energy will increase.
D
On doubling the mass of electron (hypothetically) moving in stationary orbit its kinetic energy will decrease.

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Structure of Atom

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Atomic models and Planck's quantum theory

The photoelectric behaviour of $K$,$Li$,$Mg$,and $Ag$ metals is shown in the plot below. If light of wavelength $400 \ nm$ is incident on each of these metals,which of them will emit photoelectrons?
[Planck's constant $h=6.626 \times 10^{-34} \ J \ s$; velocity of light $c=3 \times 10^8 \ m \ s^{-1}$; $1 \ eV = 1.6 \times 10^{-19} \ J$]

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If the potential energy of the electron is $-10 \ eV$,what is the total energy in $eV$?

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The relation between the stopping potential $(V_0)$ and frequency $(v)$ is correctly represented in $[\phi = \text{Work function}]$

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Match the following for hydrogen atom $(Z=1)$ :-
$(P). \lambda_{\max }$ in Lyman series $(i). \infty \rightarrow 1$
$(Q). v_{\min }$ in Balmer series $(ii). 2 \rightarrow 1$
$(R). \lambda_{\min }$ in Lyman series $(iii). 3 \rightarrow 2$
$(S). v_{\max }$ in Balmer series $(iv). \infty \rightarrow 2$

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

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$(P). \lambda_{\max }$ in Lyman series	$(i). \infty \rightarrow 1$
$(Q). v_{\min }$ in Balmer series	$(ii). 2 \rightarrow 1$
$(R). \lambda_{\min }$ in Lyman series	$(iii). 3 \rightarrow 2$
$(S). v_{\max }$ in Balmer series	$(iv). \infty \rightarrow 2$

Which of the following is correct regarding Bohr's theory?

Similar Questions

If the potential energy of the electron is $-10 \ eV$,what is the total energy in $eV$?

The relation between the stopping potential $(V_0)$ and frequency $(v)$ is correctly represented in $[\phi = \text{Work function}]$

Match the following for hydrogen atom $(Z=1)$ :-$(P). \lambda_{\max }$ in Lyman series$(i). \infty \rightarrow 1$$(Q). v_{\min }$ in Balmer series$(ii). 2 \rightarrow 1$$(R). \lambda_{\min }$ in Lyman series$(iii). 3 \rightarrow 2$$(S). v_{\max }$ in Balmer series$(iv). \infty \rightarrow 2$

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

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