Assertion:The electrical resistance of any object decrease with increase in its length.
Reason: Electrical resistance of any object increases with increase in its area of cross-section.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion .
B. If both assertion and reason are true but reason is not the correct explanation of assertion .
C. If assertion is true but reason is false .
D. If both assertion and reason are false .

Explanation

To solve the question regarding the assertion and reason related to electrical resistance, we can follow these steps:

### Step 1: Understand the Assertion
The assertion states that "The electrical resistance of any object decreases with an increase in its length."

### Step 2: Analyze the Assertion
According to the formula for electrical resistance:
\[ R = \frac{\rho L}{A} \]
where:
- \( R \) is the resistance,
- \( \rho \) is the resistivity of the material,
- \( L \) is the length of the object,
- \( A \) is the area of cross-section.

From this formula, we can see that resistance \( R \) is directly proportional to the length \( L \). This means that if the length \( L \) increases, the resistance \( R \) also increases. Therefore, the assertion is **false**.

### Step 3: Understand the Reason
The reason states that "Electrical resistance of any object increases with an increase in its area of cross-section."

### Step 4: Analyze the Reason
Again, looking at the same formula:
\[ R = \frac{\rho L}{A} \]
we can see that resistance \( R \) is inversely proportional to the area of cross-section \( A \). This means that if the area \( A \) increases, the resistance \( R \) decreases. Therefore, the reason is also **false**.

### Step 5: Conclusion
Since both the assertion and the reason are false, we conclude that the correct answer is that both the assertion and reason are incorrect.

### Final Answer
Both the assertion and reason are false.

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