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Question

Question: Which of the following statements is true of hydrogen atom ?...

Which of the following statements is true of hydrogen atom ?

A

Angular momentum µ1n\frac{1}{n}

B

Linear momentum µ1n\frac{1}{n}

C

Radius µ1n\frac{1}{n}

D

Energy µ1n\frac{1}{n}

Answer

Linear momentum µ1n\frac{1}{n}

Explanation

Solution

We know that angular momentum

L = mvr = nh2π\frac{nh}{2\pi} or mv = nh2πr\frac{nh}{2\pi r}

Now, r µ n2 \ mv = p µnh2π×n2\frac{nh}{2\pi \times n^{2}}

or p µ h2πn\frac{h}{2\pi n}or p µ 1n\frac{1}{n}