Question

Calculate the wavelength of a neutron that has a velocity of 200. cm/s. (the mass of a neutron = 1.675 × 10–27 kg and h = 6.63 × 10–34 j s).

Answer 1

To find the wavelength of a neutron can be calculated by using the formula Wavelength=h/m x v Where h is planck's constant m=mass of neutron v= velocity of the particle By substituting the given values Wavelength= 6.63 × 10–34 j s / 1.675 × 10–27 kg x 2 m/s^-1 Wavelength of a neutron=1.979 x 10^-7 m

Answer 2

The wavelength of a neutron is 1.98 × 10⁻⁷ m

Further explanation

The term of package of electromagnetic wave radiation energy was first introduced by Max Planck. He termed it with photons with the magnitude is:

$\large {\boxed {E = h \times f}}$

E = Energi of A Photon ( Joule )

h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )

f = Frequency of Eletromagnetic Wave ( Hz )

The photoelectric effect is an effect in which electrons are released from the metal surface when illuminated by electromagnetic waves with large enough of radiation energy.

$\large {\boxed {E = \frac{1}{2}mv^2 + \Phi}}$

$\large {\boxed {E = qV + \Phi}}$

E = Energi of A Photon ( Joule )

m = Mass of an Electron ( kg )

v = Electron Release Speed ( m/s )

Ф = Work Function of Metal ( Joule )

q = Charge of an Electron ( Coulomb )

V = Stopping Potential ( Volt )

Let us now tackle the problem!

This problem is about De Broglie's wavelength.

Given:

v = 200 cm/s = 2 m/s

m = 1.675 × 10⁻²⁷ kg

h = 6.63 × 10⁻³⁴ Js

Unknown:

λ  = ?

Solution:

$\lambda = \frac{h}{mv}$

$\lambda = \frac{6.63 \times 10^{-34}}{1.675 \times 10^{-27} \times 2}$

$\large {\boxed {\lambda \approx 1.98 \times 10^{-7} ~ m} }$

Learn more

• Photoelectric Effect : brainly.com/question/1408276

• Statements about the Photoelectric Effect : brainly.com/question/9260704

• Rutherford model and Photoelecric Effect : brainly.com/question/1458544
• Photoelectric Threshold Wavelength : brainly.com/question/10015690

Answer details

Grade: High School

Subject: Physics

Chapter: Quantum Physics

Keywords: Quantum , Photoelectric , Effect , Threshold , Frequency , Electronvolt