Calculate the de Broglie wavelength of an electron (9.11 $\times$ 10^-31kg)when the distance it travels in one second is equal to its wavelength.

Question

Quizplus · Accepted Answer

We can use the formula for de Broglie wavelength:

λ = h/mv

where h is Planck's constant, m is the mass of the electron, and v is its velocity.

We're given the mass of the electron (9.11 x 10^-31 kg), and we can calculate its velocity by dividing the distance it travels in one second by one second:

v = distance/time = λ/1s

But we're also told that the distance it travels in one second is equal to its wavelength, so we can substitute λ for the distance:

v = λ/1s

Solving for λ:

λ = hv/mv = h/m

Plugging in the values:

λ = (6.626 x 10^-34 J*s) / (9.11 x 10^-31 kg x λ/1s)

λ = 7.28 x 10^-3 m = 2.70 cm

So the answer is D, 2.70 cm.

Calculate the De Broglie Wavelength of an Electron (9 ×\times× 10-31 kg)when the Distance It Travels in One Second Is

Calculate the De Broglie Wavelength of an Electron (9 $\times$ 10^-31kg)when the Distance It Travels in One Second Is