The wavelength associated with a golf ball weighing 200 g and moving at a speed of 5 m/h is of the order
- A.m
- B.m
- C.m
- D.m
Show answer and solution
Correct option: C
Solution
Using de Broglie's equation: λ = h/mv
m = 0.2 kg, v = 5 m/h = 5/3600 m/s ≈ 1.39 × 10⁻³ m/s
mv = 0.2 × 1.39 × 10⁻³ = 2.78 × 10⁻⁴ kg·m/s
λ = 6.626 × 10⁻³⁴ / 2.78 × 10⁻⁴ ≈ 2.4 × 10⁻³⁰ m
This is of the order 10⁻³⁰ m, confirming that macroscopic objects have extremely small (physically insignificant) de Broglie wavelengths.
m = 0.2 kg, v = 5 m/h = 5/3600 m/s ≈ 1.39 × 10⁻³ m/s
mv = 0.2 × 1.39 × 10⁻³ = 2.78 × 10⁻⁴ kg·m/s
λ = 6.626 × 10⁻³⁴ / 2.78 × 10⁻⁴ ≈ 2.4 × 10⁻³⁰ m
This is of the order 10⁻³⁰ m, confirming that macroscopic objects have extremely small (physically insignificant) de Broglie wavelengths.
[2001]