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The wavelength of an electron moving with velocity of 107 m s-1 is
- a)7.27 x 10-11 m
- b)3.55 x 10-11 m
- c)8.25 x 10-4 m
- d)1.05 x 10-16 m
Correct answer is option 'A'. Can you explain this answer?
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Calculation of the Wavelength of an Electron:
To calculate the wavelength of an electron moving with a velocity of 107 m s-1, we can use the de Broglie wavelength formula:
λ = h / p
Where:
λ = de Broglie wavelength
h = Planck's constant (6.63 x 10-34 Js)
p = momentum of the electron
Calculating momentum:
The momentum of an electron can be calculated using the formula:
p = mv
Where:
m = mass of the electron (9.11 x 10-31 kg)
v = velocity of the electron (107 m s-1)
Substitute the values:
p = (9.11 x 10-31 kg) * (107 m s-1)
p = 9.75 x 10-29 kg m s-1
Calculate the wavelength:
Now, substitute the momentum value into the de Broglie wavelength formula:
λ = (6.63 x 10-34 Js) / (9.75 x 10-29 kg m s-1)
λ = 6.8 x 10-6 m
λ = 6.8 μm
Therefore, the wavelength of an electron moving with a velocity of 107 m s-1 is 6.8 x 10-6 m or 6.8 μm.
To calculate the wavelength of an electron moving with a velocity of 107 m s-1, we can use the de Broglie wavelength formula:
λ = h / p
Where:
λ = de Broglie wavelength
h = Planck's constant (6.63 x 10-34 Js)
p = momentum of the electron
Calculating momentum:
The momentum of an electron can be calculated using the formula:
p = mv
Where:
m = mass of the electron (9.11 x 10-31 kg)
v = velocity of the electron (107 m s-1)
Substitute the values:
p = (9.11 x 10-31 kg) * (107 m s-1)
p = 9.75 x 10-29 kg m s-1
Calculate the wavelength:
Now, substitute the momentum value into the de Broglie wavelength formula:
λ = (6.63 x 10-34 Js) / (9.75 x 10-29 kg m s-1)
λ = 6.8 x 10-6 m
λ = 6.8 μm
Therefore, the wavelength of an electron moving with a velocity of 107 m s-1 is 6.8 x 10-6 m or 6.8 μm.
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The wavelength of an electron moving with velocity of 107 m s-1 isa)7.27 x 10-11mb)3.55 x 10-11mc)8.25 x 10-4 md)1.05 x 10-16mCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The wavelength of an electron moving with velocity of 107 m s-1 isa)7.27 x 10-11mb)3.55 x 10-11mc)8.25 x 10-4 md)1.05 x 10-16mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The wavelength of an electron moving with velocity of 107 m s-1 isa)7.27 x 10-11mb)3.55 x 10-11mc)8.25 x 10-4 md)1.05 x 10-16mCorrect answer is option 'A'. Can you explain this answer?.
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