An electron of mass 9.1 x 10^-31 kg moves with a speed of 10⁷ms^-1. Calculate the wavelength of the associates wave[h = 6.6 x 10^-34Js]

Ann_e

1 year ago

To calculate the wavelength of the electron’s associated wave, we use de Broglie’s equation:

Formula:

landa = {h}/{mv}

Where:
• landa = wavelength
• h = 6.6*10^{-34} {Js} (Planck’s constant)
• m = 9.1 \*10^{-31} {kg} (mass of electron)
• v = 10^7 {m/s} (speed of the electron)

Step-by-step Calculation:


landa = {6.6 *10^{-34}}/{9.1*10^{-31}*10^7}

landa = {6.6*10^{-34}}/{9.1*10^{-24}}

landa approx= 0.725*10^{-10} = 7.25*10^{-11} {m}


Final Answer:

C. 7.25 × 10⁻¹¹ m

Edeh peter c

10 years ago

^=h/p or mv