Answer:
Given:
Mass of the tennis ball=56.5 g
wavelength=5400 Angstroms
De-Broglie Wavelength = 5400 Angstrom.
= 5400 × 10⁻¹⁰ m.
Now, Using the Formula,
λ = h/mv
here,
h is the Planck's constant = 6.62 × 10⁻³⁴ J-s.
and v is the velocity of the tennis balls.
∴ 5400 × 10⁻¹⁰ = (6.62 × 10⁻³⁴)/ (0.054 × v)
⇒ 0.054v = (6.62 × 10⁻³⁴)/ (5400 × 10⁻¹⁰)
⇒ 0.054v = 0.0012 × 10⁻²⁴
⇒ v = 0.0012 × 10⁻²⁴/0.054
⇒ v = 0.023 × 10⁻²⁴ m/s.
Hence, the velocity of the tennis balls is 0.023 × 10⁻²⁴ m/s.
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