Question

Which of the following statements is true for hydrogen atom?

• A. Angular moment $\propto \frac{1}{n}$
• B. Linear moment$\propto \frac{1}{n}$
• C. Radius $\propto \frac{1}{n}$
• D. Energy $\propto \frac{1}{n}$

Answer 1

Answer: (B)

Linear moment$\propto \frac{1}{n}$

Answer 2

Angular momentum

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

Now, $r \propto n^{2}$

$\therefore mv = p \propto \frac{nh}{2\pi \times n^{2}}$

$p \propto \frac{h}{2\pi n}orp \propto \frac{1}{n}$

Energy $E \propto \frac{1}{n^{2}}$