(A) The energy of a photon is given by $\Delta E = \frac{hc}{\lambda}$.Rearranging for wavelength,we get $\lambda = \frac{hc}{\Delta E}$.Given $\Delta

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$\frac{12395}{\Delta E} \times 10^{-10} \ m$

(A) The energy of a photon is given by $\Delta E = \frac{hc}{\lambda}$.Rearranging for wavelength,we get $\lambda = \frac{hc}{\Delta E}$.Given $\Delta E$ is in electron volts $(eV)$,we use $h = 6.626 \times 10^{-34} \ J \ s$,$c = 3 \times 10^{8} \ m/s$,and $1 \ eV = 1.602 \times 10^{-19} \ J$.$\lambda = \frac{6.626 \times 10^{-34} \times 3 \times 10^{8}}{\Delta E \times 1.602 \times 10^{-19}} \ m$.$\lambda \approx \frac{12395}{\Delta E} \times 10^{-10} \ m$.

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

Medium

When electronic transition occurs from a higher energy state to a lower energy state with an energy difference equal to $\Delta E$ electron volts,the wavelength of the emitted line is approximately equal to

A
$\frac{12395}{\Delta E} \times 10^{-10} \ m$
B
$\frac{12395}{\Delta E} \times 10^{10} \ m$
C
$\frac{12395}{\Delta E} \times 10^{-10} \ cm$
D
$\frac{12395}{\Delta E} \times 10^{10} \ cm$

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Structure of Atom

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Atomic models and Planck's quantum theory

In a hydrogen atom,electrons are excited to the $5^{th}$ quantum level. How many different spectral lines may appear in the emission spectrum?

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In Rutherford's experiment,generally the thin foil of heavy atoms,like gold,platinum etc. have been used to be bombarded by the $\alpha$-particles. If the thin foil of light atoms like Aluminium etc. is used,what difference would be observed from the above results?

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The surface of sodium metal is irradiated with radiation of wavelength $x$ nm. The kinetic energy of ejected electrons is $2.8 \times 10^{-20}$ $J$. The work function of sodium is $2.3$ eV. The value of $x$ is . . . . . . $\times 10^2$ nm.

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Which of the following was $NOT$ proposed by Rutherford in his atomic model?

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The ratio of the highest to the lowest wavelength of Lyman series is

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When electronic transition occurs from a higher energy state to a lower energy state with an energy difference equal to $\Delta E$ electron volts,the wavelength of the emitted line is approximately equal to

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In a hydrogen atom,electrons are excited to the $5^{th}$ quantum level. How many different spectral lines may appear in the emission spectrum?

In Rutherford's experiment,generally the thin foil of heavy atoms,like gold,platinum etc. have been used to be bombarded by the $\alpha$-particles. If the thin foil of light atoms like Aluminium etc. is used,what difference would be observed from the above results?

The surface of sodium metal is irradiated with radiation of wavelength $x$ nm. The kinetic energy of ejected electrons is $2.8 \times 10^{-20}$ $J$. The work function of sodium is $2.3$ eV. The value of $x$ is . . . . . . $\times 10^2$ nm.

Which of the following was $NOT$ proposed by Rutherford in his atomic model?

The ratio of the highest to the lowest wavelength of Lyman series is

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