JEE PYQ: Atomic Structure Question 9
Question 9 - 2021 (24 Feb Shift 1)
A proton and a Li$^{3+}$ nucleus are accelerated by the same potential. If $\lambda_{Li}$ and $\lambda_p$ denote the de Broglie wavelengths of Li$^{3+}$ and proton respectively, then the value of $\frac{\lambda_{Li}}{\lambda_p}$ is $x \times 10^{-1}$. The value of $x$ is ____. [Mass of Li$^{3+}$ = 8.3 mass of proton]
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Answer: 2
Solution
$\frac{\lambda_{Li}}{\lambda_p} = \sqrt{\frac{m_p \cdot e}{m_{Li} \cdot 3e}} = \sqrt{\frac{1}{3 \times 8.3}} = \frac{1}{5} = 0.2 = 2 \times 10^{-1}$. So $x = 2$.
BETA
