How to Calculate and Solve for Wavelength | De Broglie’s Law

The image above represents wavelength.

To compute for wavelength, three essential parameters are needed and these parameters are Planck’s Constant (h), Mass (m) and Velocity (v).

The formula for calculating wavelength:

λ = hmv

Where

λ = wavelength
h = Planck’s constant
m = mass
v = velocity

Let’s solve an example;
Find the wavelength when the planck’s constant is 6.62e-34, the mass is 21 and the velocity is 11.

This implies that;

h = Planck’s constant = 6.62e-34
m = mass = 21
v = velocity = 11

λ = hmv
λ = 6.62607004e-34(21)(11)
λ = 6.62607004e-34(231)
λ = 2.86e-36

Therefore, the wavelength is 2.86e-36 m.

Calculating the Mass when the Wavelength, the Planck’s Constant and the Velocity is Given.

m = h / λv

Where;

m = mass
λ = wavelength
h = Planck’s constant
v = velocity

Let’s solve an example;
Find the mass when the wavelength is 18, the planck’s constant is 6.626e-34 and the velocity is 6.

This implies that;

λ = wavelength = 18
h = Planck’s constant = 6.626e-34
v = velocity = 6

m = h / λv
m = 18 / 6.626e-34 x 6
m = 18 / 3.976e-33
m = 4.53

Therefore, the mass is 4.53 m.

Calculating the Velocity when the Wavelength, the Planck’s Constant and the Mass is Given.

v = h / λm

Where;

v = velocity
λ = wavelength
h = Planck’s constant
m = mass

Let’s solve an example;
Find the velocity when the wavelength is 20, the planck’s constant is 10 and the mass is 4.

This implies that;

λ = wavelength = 20
h = Planck’s constant = 10
m = mass = 4

v = h / λm
v = 20 / 10 x 4
v = 20 / 40
v = 0.5

Therefore, the velocity is 0.5.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the wavelength.

To get the answer and workings of the wavelength using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Basic Chemistry under Chemistry.

Now, Click on De Broglie’s Law under Basic Chemistry

Now, Click on Wavelength under De Broglie’s Law

The screenshot below displays the page or activity to enter your values, to get the answer for the wavelength according to the respective parameters which is the Planck’s Constant (h), Mass (m) and Velocity (v).

Now, enter the value appropriately and accordingly for the parameter as required by the Planck’s Constant (h) is 6.626e-34, Mass (m) is 21 and Velocity (v) is 11.

Finally, Click on Calculate


As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the wavelength and presents the formula, workings and steps too.

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