A particle (m = 4.3 × 10^-28 kg) starting from rest, experiences an acceleration of 2.4 × 10^7 m/s^2 for 5.0 s. What is its de Broglie wavelength λ at the end of this period?

Respuesta :

aachen

Answer:

Wavelength, [tex]\lambda=1.28\times 10^{-14}\ m[/tex]

Explanation:

Given that,

Mass of the particle, [tex]m=4.3\times 10^{-28}\ kg[/tex]

Acceleration of the particle, [tex]a=2.4\times 10^7\ m/s^2[/tex]

Time, t = 5 s

It starts from rest, u = 0

The De Broglie wavelength is given by :

[tex]\lambda=\dfrac{h}{mv}[/tex]

v = a × t

[tex]\lambda=\dfrac{h}{mat}[/tex]

[tex]\lambda=\dfrac{6.67\times 10^{-34}}{4.3\times 10^{-28}\times 2.4\times 10^7\times 5}[/tex]

[tex]\lambda=1.28\times 10^{-14}\ m[/tex]

Hence, this is the required solution.