(B) According to de-Broglie's equation,$\lambda = \frac{h}{mv}$.Given:$h = 6.6 \times 10^{-34} \ Js$$m = 9.0 \times 10^{-31} \ kg$$v = 2.2 \times 10^6

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(B) According to de-Broglie's equation,$\lambda = \frac{h}{mv}$.Given:$h = 6.6 \times 10^{-34} \ Js$$m = 9.0 \times 10^{-31} \ kg$$v = 2.2 \times 10^6 \ ms^{-1}$Substituting the values:$\lambda = \frac{6.6 \times 10^{-34}}{9.0 \times 10^{-31} \times 2.2 \times 10^6}$$\lambda = \frac{6.6}{19.8} \times 10^{-34+31-6} \ m$$\lambda = 0.333 \times 10^{-9} \ m$Since $1 \ nm = 10^{-9} \ m$,the wavelength is $0.33 \ nm$.

Class 11 Chemistry Structure of Atom De Broglie's principle

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The wavelength associated with the electron moving in the first orbit of hydrogen atom with velocity $2.2 \times 10^6 \ ms^{-1}$ (in $nm$) is $\left(m_e=9.0 \times 10^{-31} \ kg, h=6.6 \times 10^{-34} \ Js\right)$

AP EAMCET 2022 All AP EAMCET

A
$0.66$
B
$0.33$
C
$0.22$
D
$0.44$

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Structure of Atom

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De Broglie's principle

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$A$ $20 \, g$ object is moving with a velocity of $100 \, ms^{-1}$. The de Broglie wavelength (in $m$) of the object is [Planck's constant $h = 6.626 \times 10^{-34} \, Js$]

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The condition for a stable wave in an orbit of radius $r$ is given by the de Broglie relationship where the circumference of the orbit must be an integral multiple of the wavelength.

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The wavelength associated with the electron moving in the first orbit of hydrogen atom with velocity $2.2 \times 10^6 \ ms^{-1}$ (in $nm$) is $\left(m_e=9.0 \times 10^{-31} \ kg, h=6.6 \times 10^{-34} \ Js\right)$

Similar Questions

State the de Broglie principle.

The wavelength of a photon is $5200 \ \mathring{A}$. At what velocity will an electron have the same wavelength as this photon (in $m/s$)?

$A$ $0.66 \ kg$ ball is moving with a speed of $100 \ m/s$. The associated wavelength will be $(h = 6.6 \times 10^{-34} \ J \ s)$.

$A$ $20 \, g$ object is moving with a velocity of $100 \, ms^{-1}$. The de Broglie wavelength (in $m$) of the object is [Planck's constant $h = 6.626 \times 10^{-34} \, Js$]

The condition for a stable wave in an orbit of radius $r$ is given by the de Broglie relationship where the circumference of the orbit must be an integral multiple of the wavelength.

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