Question

Calculate wavelength(nm) of electron moving at 1.1 x106 m/s
A. 0.33
B. 1.0
C. 0.66

Answer 1

Using the de Broglie wavelength equation, the wavelength of an electron moving at 1.1 x 10^6 m/s is calculated to be 0.662 nm. Therefore, the correct answer is C. 0.66 nm.

Step-by-step explanation:

To calculate the wavelength of an electron moving at a velocity of 1.1 x 106 m/s, we can use the de Broglie wavelength equation λ = h / (mv), where λ is the wavelength, h is Planck's constant (6.626 x 10-34 m2 kg/s), m is the mass of the electron (9.109 x 10-31 kg), and v is the velocity of the electron.

Plugging in the values we get:

λ = (6.626 x 10-34 m2 kg/s) / (9.109 x 10-31 kg * 1.1 x 106 m/s)

This gives us:

λ = 6.626 x 10-34 / (9.109 x 10-31 * 1.1 x 106) m

λ = 6.626 / (9.109 * 1.1) x 10-7 m

λ = 0.662 x 10-7 m, or λ = 0.662 nm

So the correct answer is:

C. 0.66 nm