Question

calculate the wavelength of an electron when it moves with velocity of light​

Answer 1

Answer:-

$\pink{\bigstar}$ Wavelength $\large\leadsto\boxed{\rm\purple{2.43 \times 10^{-12}\: m}}$

• To Find:-

Wavelength of an electron moving with speed of light.

• Solution:-

We know,

$\large\boxed{\red{\bf \lambda = \dfrac{h}{mv}}}$

here,

λ = Wavelength

h = Planck's constant [6.625 × 10 -³⁴ J -sec]

m = mass of electron [ 9.1 × 10 -³¹ kg]

v = velocity of light [3 × 10^8 m/s]

• Substituting in the values:-

➪ $\sf \lambda = \dfrac{6.625 \times 10^{-34}}{(9.1 \times 10^{-31}) \times (3 \times 10^8)}$

➪ $\sf \lambda = \dfrac{6.625 \times 10^{-34}}{27.3 \times 10^{-23}}$

➪ $\sf \lambda = 0.243 \times 10^{-11}$

➪ $\green{\bf \lambda = 2.43 \times 10^{-12} \: m}$

Therefore, the wavelength of the electron when moving with velocity of light will be 2.43 × 10-¹² m.