The de Broglie wavelength of a tennis ball of mass 60 g moving
with a velocity of 10 metres per second is approximately
(a) 10⁻³¹ metres (b) 10⁻¹⁶ metres
(c) 10⁻²⁵ metres (d) 10⁻³³ metres
Planck’s constant, h = 6.63 × 10⁻³⁴ Js
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The wavelength of the tennis ball is λ = 10^-33 m. Option (d) is correct.
Explanation:
- Given data:
- Mass of ball m = 60 g
- Velocity v = 10 m/s
- Plank constant h = 6.63 × 10^ −34 Js
We know that:
λ = h / m.v
λ = 60 × 10 ^−34 / 60 x 10^-3 x 10
λ = 1.1 x 10^-33
λ = 10^-33 m
Hence the wavelength of the tennis ball is λ = 10^-33 m.
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