One among the following statements is correct?

Options

A. An orbital containing an electron having quantum numbers n = 2, l =0, s = +1/2 is spherical
B. The frequency of X-rays is less than radiowaves
C. All photons have same energy
D. As intensity of light increases, the frequency increases.

Explanation

To solve the question, we need to evaluate the correctness of the four statements provided. Let's analyze each statement step by step.

### Step 1: Analyze Statement A
**Statement A:** "The orbital containing an electron having quantum number n = 2, l = 0, and s = +1/2 is spherical."

- The principal quantum number (n) indicates the energy level of the electron. Here, n = 2.
- The azimuthal quantum number (l) indicates the shape of the orbital. For l = 0, the orbital is an s orbital.
- S orbitals are known to be spherical in shape.

**Conclusion for Statement A:** This statement is **true**.

### Step 2: Analyze Statement B
**Statement B:** "The frequency of x-ray is less than radio."

- The electromagnetic spectrum orders the waves from low to high frequency: radio waves < microwaves < infrared < visible light < ultraviolet < x-rays.
- X-rays have a higher frequency than radio waves.

**Conclusion for Statement B:** This statement is **false**.

### Step 3: Analyze Statement C
**Statement C:** "All the photons have the same energy."

- The energy of a photon is given by the equation E = hν, where ν is the frequency.
- Since different types of electromagnetic radiation (like x-rays, visible light, etc.) have different frequencies, they will have different energies.

**Conclusion for Statement C:** This statement is **false**.

### Step 4: Analyze Statement D
**Statement D:** "As the intensity of light increases, the frequency increases."

- The intensity of light is related to the number of photons (brightness) but does not affect the frequency.
- Frequency is determined by the energy of the photons and their wavelength, not the intensity.

**Conclusion for Statement D:** This statement is **false**.

### Final Conclusion
After analyzing all four statements, the only correct statement is **Statement A**.

### Summary of Correctness:
- **Statement A:** True
- **Statement B:** False
- **Statement C:** False
- **Statement D:** False

Thus, the correct answer is **Statement A**.

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