Computer the wavelength of electrons whose speed is 0.01 times the light.
Answers
Momentum of the electron = 9.1*10^-31 kg * 3*10^6 m/s
From here by De-Broglie wavelength formula
Wavelength = Planck's constant / Momentum
= 6.626*10^-34 / 9.1*10^-31 * 3*10^6
From here wavelength can be calculated
Answer: The wavelength of electrons whose speed is 0.01 times the light is 2.43 x 10⁻¹⁰ m
Explanation:
According to de Broglie wavelength equation,
It is the wavelength that is associated with an object in relation to its momentum and mass.
wavelength = h/mv where h is plancks constant
m = mass of the electron
v = velocity of the electron
We already know that Mass of electron = 9.1 x 10⁻³¹ kg
The value of Planck’s constant = 6.626 x 10⁻³⁴ kg m² s⁻¹
Velocity of electron = 0.01 times of speed of light
= 3.0 x 10⁸ x 0.01 = 3 x 10⁶ ms⁻¹
Wavelength of electron (λ) = h/mv
= (6.626 x 10-34 kg m² s⁻¹ )/ ( 9.1 x 10⁻³¹ kg) × ( 3 x 10⁶ ms⁻¹ )
= 2.43 x 10⁻¹⁰ m
The wavelength of electrons whose speed is 0.01 times the light is 2.43 x 10⁻¹⁰ m
To know more about wavelength from the given link
https://brainly.in/question/21217959
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