Question

Matching type questions: (Match, Column-I and Column-II property) Column-I Column-II (A) Planck's theory of quantum (p) Light energy \(=\mathrm{hv}\) (B) Einstein's theory of quanta (q) Angular momentum of electron in an orbit. (C) Bohr's stationary orbit (r) Oscillator energies (D) D-Broglie waves (s) Electron microscope (A) \((\mathrm{A}-\mathrm{p}),(\mathrm{b}-\mathrm{q}),(\mathrm{C}-\mathrm{r}),(\mathrm{D}-\mathrm{s})\) (B) \((\mathrm{A}-\mathrm{q}),(\mathrm{B}-\mathrm{r}),(\mathrm{C}-\mathrm{s}),(\mathrm{D}-\mathrm{p})\) (C) \((\mathrm{A}-\mathrm{r}),(\mathrm{B}-\mathrm{p}),(\mathrm{C}-\mathrm{q}),(\mathrm{D}-\mathrm{s})\) (D) \((\mathrm{A}-\mathrm{r}),(\mathrm{B}-\mathrm{p}),(\mathrm{C}-\mathrm{s}),(\mathrm{D}-\mathrm{q})\)

Short answer

The short answer is: (C) \((\mathrm{A}-\mathrm{r}),(\mathrm{B}-\mathrm{p}),(\mathrm{C}-\mathrm{q}),(\mathrm{D}-\mathrm{s})\).

Step-by-step solution

Identify each theory and its outcome

Let's start by understanding each theory from Column-I and its corresponding outcome from Column-II. (A) Planck's theory of quantum - This theory introduced the concept of energy quantization, which states that the energies of oscillators in a black body are quantized and are multiplied by Planck's constant 'h'. The correct match should be the one which involves quantization of energy. (B) Einstein's theory of quanta - Einstein's photoelectric effect showed that light has both particle and wave nature and was quantized according to Planck's constant. The correct match should be the one where light energy is quantized. (C) Bohr's stationary orbit - Bohr's model proposed that electrons are arranged in stationary orbits around the nucleus and have quantized angular momentum. The correct match should be the one with angular momentum of electron in an orbit. (D) D-Broglie waves - This theory introduced the concept of particle-wave duality for all particles, including electrons. The electron microscope is an application of D-Broglie waves. The correct match should be the one with electron microscope.

Match each theory with the outcome

Now let's match the theories from Column-I to the outcomes in Column-II. (A) Planck's theory of quantum - (r) Oscillator energies (B) Einstein's theory of quanta - (p) Light energy \(=\mathrm{hv}\) (C) Bohr's stationary orbit - (q) Angular momentum of electron in an orbit (D) D-Broglie waves - (s) Electron microscope Thus, the correct matching pairs are: (A-r), (B-p), (C-q), (D-s) Comparing these pairs with the given options, we can see that the correct answer is: (C) \((\mathrm{A}-\mathrm{r}),(\mathrm{B}-\mathrm{p}),(\mathrm{C}-\mathrm{q}),(\mathrm{D}-\mathrm{s})\)