**Wavelengths of Matter Ranking Task**

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## Question “Wavelengths of Matter Ranking Task”

Rank these objects on the basis of their wavelength. (largest to smallest)

person v=4.5m/s

electron v=0.01c

red light v=c

proton v=0.01c

car v=27m/s

baseball v=41m/s

## Answer

This problem can be solved using de Broglie wavelength.

To find the wavelength of the person or electron, the red light, the proton, the car or baseball, you can first use de Broglie wavelength.

To rank objects based on their wavelength, you can use the wavelengths of the person, electrons, red lights, protons, car and baseball.

Below is the expression for de Broglie wavelength:

determines the velocity and

the mass.

Below is the expression for de Broglie wavelength:

The wavelength of a person is:

Below is the expression for de Broglie wavelength as a function of the average mass of an individual

Here, the wavelength for a person in

.

Substitute

to

;

to

; and

to

.

…… (1)

The wavelength of an electron is:

Below is the expression for de Broglie wavelength as a function of electron’s average mass

; the average electron mass is

and the electron’s speed is (

.

Substitute

to

;

to

; and

to

.

.

…… (2)

The wavelength of a red-colored light is:

This is the wavelength of red light:

…… (3)

Here, the wavelength for red light is

.

The wavelength of a proton is:

Below is the expression for de Broglie wavelength as a function of the average mass of a proton.

Here, we show the wavelength of a proton

. The average mass of a proton

.

Substitute

to

;

to

; and

to

.

.

…… (4)

The wavelength of a car

Below is the expression for de Broglie wavelength as a function of average car mass

; the average car mass is $59.49$; and speed is $50$.

Substitute

to

;

to

; and

to

.

…… (5)

The wavelength of a baseball

Below is the expression for de Broglie wavelength as a percentage of average baseball weight

Here, you can see that the wavelength of a ball is

. The average weight of a baseball in this case is $60$. Speed of a ball is

.

Substitute

to

;

to

and

to

.

…… (6)

You can now proceed to the next step.

is the wavelength of a person.

is the wavelength of an electron.

is the wavelength of a red-colored light.

is the wavelength of a proton.

is the wavelength of a car.

The wavelength of a baseball’s ball is

.

On the basis of wavelength, the order of given data is as follows:

Red light, electron and proton, baseball player, car, and person.

**The rank of the objects arranged on the basis of their wavelength from largest to smallest is Red light, electron, proton, baseball, person, and car.**

## Conclusion

Above is the solution for “**Wavelengths of Matter Ranking Task**“. We hope that you find a good answer and gain the knowledge about this topic of **null**.