Wave Equations Practice

On your night vision goggles you see a band of red light. Your goggles detect that the frequency of this light is 3.76x10¹⁴ hz.​ What is the wavelength of this wave in nanometers?

• 548 nm

• 630 nm

• 657 nm

• 798 nm

NASA scientists and astronomers measure some gamma radiation inbound from outer space with a wavelength of 6.90 x 10^-13 m. ​

What is the frequency of this wave?

• 4.35 x 10²⁰ hz

• 4.35 x 10¹⁹ hz

• 2.67 x 10^-7 hz

• 3.99 x 10¹¹ hz

You broke your toe! The X-ray the doctor takes uses waves that have a wavelength of 2.19 x 10^-10 m.

What is the speed of the wave?

• 1 x 10⁹ m/s

• 3.00 x 10⁸ m/s

• 1.55 x 10^-7 m/s

• 7.36 x 10^-36 m/s

Broken toe still! The X-ray the doctor takes uses waves that have a wavelength of 2.19 x 10^-10 m.

What is the wavelength in nm?

• 2.19 x 10^-19 nm

• 2.19 x 10^-9

• 0.219 nm

• 219 nm

A sound scientist hears some thunder. She knows that sound moves as a wave. She has a microphone that measures the frequency of the thunder as 100 hz. She also predicts the wavelength of sound to be about 3.40 m.​ Based on these data, determine the speed of sound.

• 0.34 m/s

• 30 m/s

• 340 m/s

• 3.40 x 10⁶ m/s

A laser shoots out of a battleship. The frequency of the light is 5.71 x 10¹⁴ hz.​ Determine the wavelength of the light in nanometers and predict the color of the light.

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If blue light has a wavelength of about 475 nm, calculate the amount of energy present in one photon of blue light.

• 6.23 x 10^-29 J

• 4.18 x 10^-19 J

• 2.87 x 10^-6 J

• 6.75 x 10²⁸ J

What is the wavelength in nanometers of a wave of light that has 7.65 x 10^-17 J of energy to it?

• 2.60 nm

• 260 nm

• 3.97 x 10⁵ nm

• 3.97 x 10⁹ nm

How much energy is there in a radio wave with a wavelength of 9,330 cm?

• 2.13 x 10^-27 J

• 6.07 x 10^-19 J

• 3.11 x 10^-9 J

• 5.13 x 10³ J