Q113 / 180 · AIIMS 2015 · Physics

de-Broglie wavelength associated with a ball of mass $1 \mathrm{~kg}$ having kinetic energy $0.5 \mathrm{~J}$ is

  • A
    $6.63 \times 10^{-30} \mathrm{~m}$
  • Correct answer
    B
    $6.63 \times 10^{-34} \mathrm{~m}$
  • C
    $1.32 \times 10^{-33} \mathrm{~m}$
  • D
    $1.32 \times 10^{-34} \mathrm{~m}$

Solution

de-Broglie wavelength, $\lambda=\frac{h}{p}=\frac{h}{\sqrt{2 m K}}$ Here, $m=1 \mathrm{~kg}, K=0.5 \mathrm{~J}$ $$ \begin{aligned} & h=6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s}, \lambda=? \\ & \lambda=\frac{6.63 \times 10^{-34}}{\sqrt{2 \times 1 \times 0.5}}=6.63 \times 10^{-34} \mathrm{~m} \end{aligned} $$

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

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