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  • What is the de-broglie wavelength of an election in 4th orbit of H atom, if ' x ' is the radius of the first Bohr orbit? Option: 1</strong

What is the de-broglie wavelength of an election in 4th orbit of H atom, if ' x ' is the radius of the first Bohr orbit? 

Option: 1

6 \pi x


Option: 2

3 \pi x


Option: 3

8 \pi x


Option: 4

\frac{x}{2}


Answers (1)

best_answer

\begin{aligned} & \mathrm{r_1=0.529A^{\circ}=x} \\ \\& \mathrm{r_4=0.529 \times(4)^2 A^0=16 x }. \\ \\& \text{So}\mathrm{,\lambda=\frac{2 \pi r}{n}=\frac{\left.2 \pi(16x) \right)}{4}} \\ \\& \mathrm{ =8 \pi x} \\ & \end{aligned}

\therefore Option (3) is right answer.

Posted by

vishal kumar

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