What is the ratio of the speed of an electron in the first orbit of an \(\mathrm{H}\text-\)atom to the speed of light?
1. | \(\dfrac{1}{137}\) | 2. | \(137\) |
3. | \(\dfrac{1}{83}\) | 4. | \(\dfrac{1}{47}\) |
1. \(2000~\mathring{A}\)
2. \(4000~\mathring{A}\)
3. \(4500~\mathring{A}\)
4. \(9000~\mathring{A}\)
What happens when an electron in a hydrogen-like atom jumps from a lower energy level to a higher energy level?
1. | kinetic energy increases. |
2. | angular momentum decreases. |
3. | de-Broglie wavelength associated with electron increases. |
4. | angular momentum remains constant. |
1. | \(F \propto \frac{1}{n^3}\) |
2. | \(F \propto \frac{1}{n^4}\) |
3. | \(F \propto \frac{1}{n^5}\) |
4. | It does not depend on \(n\). |
1. | \(\frac{\lambda_1\lambda_2}{\lambda_1-\lambda_2}\) | 2. | \(\frac{\lambda_1+\lambda_2}{2}\) |
3. | \(\sqrt{\lambda^2_1+\lambda^2_2}\) | 4. | \(\frac{\lambda_1\lambda_2}{\lambda_1+\lambda_2}\) |
1. | \(5\rightarrow 4\) | 2. | \(3\rightarrow 2\) |
3. | \(2\rightarrow 1\) | 4. | \(3\rightarrow 1\) |
Which other physical quantity, like angular momentum, is quantized in Bohr's model of a hydrogen atom?
1. Kinetic energy
2. Magnetic moment
3. Potential energy
4. Mechanical energy