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2. structure of atom — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry2. structure of atom1 Mark
MCQ
The de Broglie wavelength of a tennis ball of $60\, g$ moving with a velocity of $10$ meters per second is approximately
  • A
    $10^{-16}$ meters
  • B
    $10^{-25}$ meters
  • ✓
    $10^{-33}$ meters
  • D
    $10^{-31}$ meters
✓

Answer

Correct option: C.
$10^{-33}$ meters
c
Given that,

Mass of ball $m=60 \mathrm{g}$

Velocity $v=10 \mathrm{m} / \mathrm{s}$

Plank constant $h=6.63 \times 10^{-34} \mathrm{Js}$

We know that,

$\lambda=\frac{h}{m v}$

$\lambda=\frac{6.6 \times 10^{-34}}{60 \times 10^{-3} \times 10}$

$\lambda=1.1 \times 10^{-33}$

$\lambda=10^{-33} \mathrm{m}$

Hence, the wavelength is $10^{-33} \mathrm{m}$

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