Q106 / 120 · VITEEE 2006 · Physics

The deBroglie wavelength associated with a steel ball of mass $1000 \mathrm{gm}$ moving at a speed of $1 \mathrm{~ms}^{-1}$ is $\left[\mathrm{h}=6.626 \times 10^{-34} \mathrm{Js}\right]$

  • A
    $6.626 \times 10^{-31} \mathrm{~m}$
  • B
    $6.626 \times 10^{-37} \mathrm{~m}$
  • Correct answer
    C
    $6.626 \times 10^{-34} \mathrm{~m}$
  • D
    $6.626 \times 10^{34} \mathrm{~m}$

Solution

de Broglie wavelength is given by $\lambda=\frac{\mathrm{h}}{\mathrm{mv}}=\frac{6.626 \times 10^{-34}}{1000 \times 10^{-3} \times 1}=6.626 \times 10^{-34} \mathrm{~m}$

Hence, the correct answer is option: 'C'.

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