Calculate the wavelength of an electron if it | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Given: Mass $m = 9.1 	imes 10^{-31} \, kg$,Velocity $v = \frac{1}{10} 	imes c = \frac{1}{10} 	imes 3 	imes 10^8 \, m/s = 3 	imes 10^7 \, m/s$

Vedclass · Accepted Answer

$2.426 	imes 10^{-11} \, m$

Vedclass · Answer

(C) Given: Mass $m = 9.1 	imes 10^{-31} \, kg$,Velocity $v = \frac{1}{10} 	imes c = \frac{1}{10} 	imes 3 	imes 10^8 \, m/s = 3 	imes 10^7 \, m/s$,Planck's constant $h = 6.626 	imes 10^{-34} \, J \cdot s$.Using the de Broglie wavelength formula: $\lambda = \frac{h}{mv}$.$\lambda = \frac{6.626 	imes 10^{-34} \, J \cdot s}{(9.1 	imes 10^{-31} \, kg) 	imes (3 	imes 10^7 \, m/s)}$.$\lambda = \frac{6.626 	imes 10^{-34}}{27.3 	imes 10^{-24}} \, m$.$\lambda \approx 0.2427 	imes 10^{-10} \, m = 2.427 	imes 10^{-11} \, m$.

Calculate the wavelength of an electron if its mass is $9.1 \times 10^{-31} \, kg$,its velocity is $1/10$ of the speed of light,and the value of Planck's constant $h$ is $6.626 \times 10^{-34} \, J \cdot s$.

Similar Questions

The de Broglie wavelength of a particle is $1000 \ nm$. What is its momentum? $(h = 6.6 \times 10^{-34} \ J \ s)$

The mass of a particle is $1 \, mg$ and its velocity is $4.5 \times 10^5 \, cm/s$. What will be the wavelength of this particle? $(h = 6.652 \times 10^{-27} \, erg \cdot s)$.

$A$ moving particle may have significant wave motion,if

$A$ ball weighing $25 \ g$ moves with a velocity of $6.6 \times 10^4 \ cm/sec$. Find the associated de Broglie wavelength.

$A$ cricket ball of $0.5 \ kg$ is moving with a velocity of $100 \ m/s$. The wavelength associated with its motion is

Vedclass Test Series

Exam Paper Generator

Online Exam Module