JEE MAIN - Chemistry (2023 - 29th January Evening Shift - No. 22)

Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6 $$\mathrm{\mathop A\limits^o }$$. The radius of the third Bohr orbit of He$$^+$$ is __________ picometer. (Nearest Integer)
Answer
270

Explanation

Radius of 3rd Bohr orbit of He$$^{+3}$$

$$ = 0.6 \times {{{{(3)}^2}} \over 2}$$

$$ = 0.3 \times 9$$

$$ = 2.7\,\mathop A\limits^o $$

$$ = 270 \times {10^{ - 12}}$$ ppm

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