How quickly must a 56.7−g tennis ball travel in order to have a de Broglie wavelength that is equal to that of a photon of green light (5.40 × 103 Å)? Enter your answer in scientific notation.

v = 2.2 * 10^(-24) m/s

Explanation:

Momentum is given in terms of wavelength as:

p = h/λ

Where h is Planck's constant = 6.626 * 10^(-34) kgm²/s

Hence, momentum will be:

p = 6.626 * 10^(-34) / (5.4 * 10^3 * 10^(-10)

p = 1.23 * 10^(-27) kgm/s

For a 56.7 g ball to have the same wavelength as green light, they must have the same momentum.

Momentum is given in terms of mass as:

p = m*v

p = 0.0567 * v

1.23 * 10^(-27) = 0.0567 * v

v = 1.23 * 10^(-27) / 0.0567

v = 2.2 * 10^(-24) m/s

Hence, it would have to move at a speed of 2.2 * 10^(-24) m/s to have the same wavelength.

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explanation: