A : It is impossible to see an object as small as an atom regardless of the quality of light used by microscope.
R : In order to see.. an object, wave length of light in the microscope must be comparable to the size of object.

Options

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true and R is not the correct explanation of A
C. A is true and R is false
D. Both A and R are false

Answer

To solve the given question, we need to analyze the statements A and R and determine their validity and relationship.

### Step 1: Analyze Statement A
Statement A claims that "It is impossible to see an object as small as an atom regardless of the quality of light used by a microscope."

- Atoms are on the order of angstroms (10^-10 meters), while visible light has wavelengths ranging from approximately 400 nm (4 x 10^-7 meters) to 700 nm (7 x 10^-7 meters).
- Since the wavelength of visible light is much larger than the size of an atom, it is indeed impossible to resolve an atom using visible light.

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

### Step 2: Analyze Statement R
Statement R states that "In order to see an object, the wavelength of light in the microscope must be comparable to the size of the object."

- This statement is based on the principle of diffraction and resolution in optics. To resolve an object, the wavelength of the light used must be on the same order of magnitude as the size of the object.
- For small objects like atoms, one would need to use wavelengths much smaller than visible light, such as X-rays or electron beams, to achieve resolution.

**Conclusion for R**: Statement R is also true.

### Step 3: Determine the Relationship between A and R
Now we need to determine if A and R are related in a way that supports or contradicts each other.

- Statement A is true because it correctly states the limitation of using visible light to observe atoms.
- Statement R provides a valid explanation for why this limitation exists, emphasizing the need for the wavelength of light to be comparable to the size of the object for proper resolution.

**Conclusion**: Both statements A and R are true, and R provides a valid reason for A.

### Final Answer
Both statements A and R are true, and R is the correct explanation for A.

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