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The de Broglie wavelength of a car of mass 1000 kg and velocity 36 km/hr is:

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The de Broglie wavelength of a car of mass 1000 kg and velocity 36 km/hr is:

(a) 6.626 × 10–34 m

(b) 6.626 × 10–38 m

(c) 6.626 × 10–31 m

(d) 6.626 × 10–30 m

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Correct answer: (b) 6.626 × 10–38 m

Explanation:

λ = \(\frac{h}{mv}\)

h = 6.6 x 10–34 J-s

m = 1000 kg

v = 36 km/hr

= \(\frac{36 \times 10^3}{60 \times 60}\)m/sec

= 10 m/sec

∴ λ = \(\frac{6.6 \times 10^{-34}}{10^3 \times 10}\) = 6.626 × 10–38 m

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