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What is the de Broglie wavelength associated with
an electron, accelerated through a potential difference of 100 volts?​
a)12.3 nm
b)0.127 nm
c)123 nm
d)1.23 nm
Correct answer is option 'B'. Can you explain this answer?
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What is the de Broglie wavelength associated with ... morean electron,...
and as we know 1Å = 0.1 nm, so 1.227Å = 0.122 nm
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What is the de Broglie wavelength associated with ... morean electron,...
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What is the de Broglie wavelength associated with ... morean electron,...
De-Broglie Wavelength Formula
The de-Broglie wavelength is given by the formula:
λ = h/mv
where λ is the de-Broglie wavelength, h is Planck's constant, m is the mass of the particle, and v is the velocity of the particle.

Calculating the de-Broglie Wavelength
To calculate the de-Broglie wavelength associated with an electron accelerated through a potential of 100 volts, we need to know the velocity of the electron. The velocity of the electron can be calculated using the formula:
v = √(2qV/m)
where V is the potential difference, q is the charge of the electron, and m is the mass of the electron.

Substituting the values, we get:
v = √(2 × 1.6 × 10^-19 × 100 / 9.11 × 10^-31)
v = 6.02 × 10^6 m/s

Now, we can calculate the de-Broglie wavelength using the formula:
λ = h/mv
Substituting the values, we get:
λ = 6.63 × 10^-34 / (9.11 × 10^-31 × 6.02 × 10^6)
λ = 1.22 × 10^-10 m
λ = 0.122 nm

Answer
Therefore, the de-Broglie wavelength associated with an electron accelerated through a potential of 100 volts is 0.122 nm. Hence, option B is the correct answer.
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What is the de Broglie wavelength associated with ... morean electron, accelerated through a potential difference of 100 volts?​a)12.3 nmb)0.127 nmc)123 nmd)1.23 nmCorrect answer is option 'B'. Can you explain this answer?
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