Following diagram indicates energy levels of a certain atom when system moves from 4E level to E . A

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12.Atoms

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The following diagram indicates the energy levels of a certain atom when the system moves from $4E$ level to $E$. A photon of wavelength $\lambda _1$ is emitted. The wavelength of photon produced during it's transition from $\frac{7}{3}E$ level to $E$ is $\lambda_2$. The ratio $\frac{{{\lambda _1}}}{{{\lambda _2}}}$ will be

$\frac{9}{4}$

$\frac{4}{9}$

$\frac{3}{2}$

$\frac{7}{3}$

Solution

(b) Transition from $4E$ to $E$
$(4E – E) = \frac{{hc}}{{{\lambda _1}}}$ ==> ${\lambda _1} = \frac{{hc}}{{3E}}$ …… $(i)$
Transition from $\frac{7}{3}E$ to $E$
$\left( {\frac{7}{3}E – E} \right) = \frac{{hc}}{{{\lambda _2}}}$ ==> ${\lambda _2} = \frac{{3hc}}{{4E}}$ …… $(i)$
From equation $(i)$ and $(ii)$ $\frac{{{\lambda _1}}}{{{\lambda _2}}} = \frac{4}{9}$

Standard 12

Physics

In Rutherford's experiment, number of particles scattered at $90^{\circ}$ angle are $x$ per second. Number particles scattered per second at angle $60^{\circ}$ is

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In a Rutherford scattering experiment when a projectile of charge $z_1$ and mass $M_1$ approaches a target nucleus of charge $z_2$ and mass $M_2$, the distance of closest approach is $r_0$ The energy of the projectile is

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(AIPMT-2009)

Choose the correct option from the following options given below

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(JEE MAIN-2022)

The wavelengths of ${K_\alpha }$ $X-$ rays of two metals $'A'$ and $'B'$ $\frac{4}{{1875R}}$ and $\frac{1}{{675R}}$ respectively, where $'R'$ is Rydberg's constant. The number of elements lying between $'A'$ and $'B'$ according to their atomic numbers is

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Hydrogen $(H)$, deuterium $(D)$, singly ionized helium $(He^+)$ and doubly ionized lithium $(Li^{++})$ all have one electron around the nucleus. Consider $n = 2$ to $n = 1$ transition. The wavelengths of emitted radiations are $\lambda_1, \lambda_2 \lambda_3$ and $\lambda_4$ respectively.

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Solution

Similar Questions

In Rutherford's experiment, number of particles scattered at $90^{\circ}$ angle are $x$ per second. Number particles scattered per second at angle $60^{\circ}$ is

In a Rutherford scattering experiment when a projectile of charge $z_1$ and mass $M_1$ approaches a target nucleus of charge $z_2$ and mass $M_2$, the distance of closest approach is $r_0$ The energy of the projectile is

Choose the correct option from the following options given below

The wavelengths of ${K_\alpha }$ $X-$ rays of two metals $'A'$ and $'B'$ $\frac{4}{{1875R}}$ and $\frac{1}{{675R}}$ respectively, where $'R'$ is Rydberg's constant. The number of elements lying between $'A'$ and $'B'$ according to their atomic numbers is

Hydrogen $(H)$, deuterium $(D)$, singly ionized helium $(He^+)$ and doubly ionized lithium $(Li^{++})$ all have one electron around the nucleus. Consider $n = 2$ to $n = 1$ transition. The wavelengths of emitted radiations are $\lambda_1, \lambda_2 \lambda_3$ and $\lambda_4$ respectively.

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