(C) The energy $E$ of a photon is given by the relation $E = \frac{hc}{\lambda}$,which implies $E \propto \frac{1}{\lambda}$.Given,for $\lambda_1 = 50

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(C) The energy $E$ of a photon is given by the relation $E = \frac{hc}{\lambda}$,which implies $E \propto \frac{1}{\lambda}$.Given,for $\lambda_1 = 5000 \, \mathring{A}$,$E_1 = 2.5 \, eV$.We need to find the energy $E_2$ for $\lambda_2 = 1 \, \mathring{A}$.Using the proportionality $E_1 \lambda_1 = E_2 \lambda_2$,we get:$E_2 = E_1 \times \frac{\lambda_1}{\lambda_2}$$E_2 = 2.5 \times \frac{5000}{1} \, eV$$E_2 = 2.5 \times 5000 \, eV$.

Class 12 Physics Atoms X-Rays

Easy

The energy of a photon of light with wavelength $5000 \, \mathring{A}$ is approximately $2.5 \, eV$. In this way,the energy of an $X$-ray photon with wavelength $1 \, \mathring{A}$ would be:

A
$2.5 / 5000 \, eV$
B
$2.5 / (5000)^2 \, eV$
C
$2.5 \times 5000 \, eV$
D
$2.5 \times (5000)^2 \, eV$

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The energy of $X$-rays with a wavelength of $1.65 \, \mathring{A}$ is ............. $keV$ (Given: $h = 6.6 \times 10^{-34} \, J \cdot s$,$c = 3 \times 10^{8} \, m/s$,$1 \, eV = 1.6 \times 10^{-19} \, J$). (in $.5$)

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When an $X$-ray tube operates at $60 \ kV$,the observed tube current is $50 \ mA$. Assuming that the total energy of the electrons is converted into heat,the rate of heat production at the anode in $cal/s$ is:

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When an $X$-ray of wavelength $0.5 \, \mathring{A}$ passes through a metal foil of thickness $3.5 \, mm$,its intensity is reduced to one-fourth of its initial value. The absorption coefficient of the metal is ..... $mm^{-1}$.

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The wavelength of the $K_{\alpha}$ line for an element with atomic number $57$ is $\lambda$. What will be the wavelength of the $K_{\alpha}$ line for an element with atomic number $29$?

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If the potential difference between the anode and cathode of the $X$-ray tube is increased,then which of the following statements is correct regarding the given $X$-ray spectrum graph?

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The energy of a photon of light with wavelength $5000 \, \mathring{A}$ is approximately $2.5 \, eV$. In this way,the energy of an $X$-ray photon with wavelength $1 \, \mathring{A}$ would be:

Similar Questions

The energy of $X$-rays with a wavelength of $1.65 \, \mathring{A}$ is ............. $keV$ (Given: $h = 6.6 \times 10^{-34} \, J \cdot s$,$c = 3 \times 10^{8} \, m/s$,$1 \, eV = 1.6 \times 10^{-19} \, J$). (in $.5$)

When an $X$-ray tube operates at $60 \ kV$,the observed tube current is $50 \ mA$. Assuming that the total energy of the electrons is converted into heat,the rate of heat production at the anode in $cal/s$ is:

When an $X$-ray of wavelength $0.5 \, \mathring{A}$ passes through a metal foil of thickness $3.5 \, mm$,its intensity is reduced to one-fourth of its initial value. The absorption coefficient of the metal is ..... $mm^{-1}$.

The wavelength of the $K_{\alpha}$ line for an element with atomic number $57$ is $\lambda$. What will be the wavelength of the $K_{\alpha}$ line for an element with atomic number $29$?

If the potential difference between the anode and cathode of the $X$-ray tube is increased,then which of the following statements is correct regarding the given $X$-ray spectrum graph?

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