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A 0.66 kg ball is moving with a speed of 100 m/s. The associated wavelength will be [h = 6.6 × 10⁻³⁴ Js]:

1. 1.0 × 10⁻³² m
2. 6.6 × 10⁻³² m
3. 6.6 × 10⁻³⁴ m
4. 1.0 × 10⁻³⁵ m

Correct answer: 6.6 × 10⁻³² m

Solution

The de Broglie wavelength is given by λ = h / (mv). Substituting the values: h = 6.6 × 10⁻³⁴ Js, m = 0.66 kg, and v = 100 m/s, we get λ = (6.6 × 10⁻³⁴) / (0.66 × 100) = 6.6 × 10⁻³² m.

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