Assertion : The radius of the first orbit of hydrogen atom is 0.5… - Vidyadip

MCQ

Assertion : The radius of the first orbit of hydrogen atom is $0.529\,\mathop A\limits^o$
Reason : Radius of each circular orbit $(r_n) - 0.529\,\mathop A\limits^o \,(n^2/Z),$ where $n = 1, 2, 3$ and $Z =$ atomic number.

✓
If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
B
If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
C
If the Assertion is correct but Reason is incorrect.
D
If both the Assertion and Reason are incorrect.

✓

Answer

Correct option: A.

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

a
Both assertion and reason are true and reason is the correct explanation of assertion.

Radius, ${r_n} = \frac{{{n^2}{h^2}}}{{4\pi {e^2}mZ}} = \frac{{{n^2}}}{Z} \times 0.529\,\mathop A\limits^o .{r_n}$

For first orbit of $H-$ atom

$n=1$

${r_1} = \frac{{{{(1)}^2}}}{1} \times 0.529\,\mathop A\limits^o = 0.529\,\mathop A\limits^o $

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