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In this lesson, we will learn how to derive the de Broglie wavelength and calculate and interpret its value for particles of known mass and velocity.

Q1:

An electron ( ) e − has a mass of 9 . 1 0 9 3 8 × 1 0 − 3 1 kg, and the mass of a proton (p) is 1 . 6 7 2 6 2 × 1 0 − 2 7 kg. Assuming the electron and the proton move at the same speed of 300 m/s, which of the following is a true statement concerning the de Broglie wavelengths?

Q2:

Calculate the wavelength of an electron travelling at a velocity of 1 . 0 0 0 × 1 0 7 m/s.

Q3:

Calculate the de Broglie wavelength of a 0.1400 kg baseball moving at a speed of 40.00 m/s. Use a value of 6 . 6 2 6 × 1 0 for Planck’s constant.

Q4:

What is the de Broglie wavelength of a 100 g baseball travelling at a velocity of 35.0 m/s?

Q5:

Calculate the de Broglie wavelength for an electron moving at a speed of 4 . 8 0 0 × 1 0 5 m/s. Use 9 . 1 1 × 1 0 − 3 1 kg for the mass of an electron and 6 . 6 2 6 × 1 0 − 3 4 J⋅s for the Planck constant.

Q6:

An electron ( ) e − has a mass of 9 . 1 0 9 3 8 × 1 0 − 3 1 kg, and the mass of a proton (p) is 1 . 6 7 2 6 2 × 1 0 − 2 7 kg. Assuming the electron and the proton move at the same speed of 500 m/s, which of the following is a true statement concerning the de Broglie wavelengths?

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