Electrostatic Potential And Capacitance

Step 1: Concept
Work done .
Step 2: Analysis
Potential . In a circular path around a central charge, the distance is constant.
Step 3: Conclusion
Since the potential is the same at all points on the circle, , so .
Final Answer: (A)

Step 1: Concept
Adding a solute to a solvent results in the depression of the freezing point.
Step 2: Mechanism
acts as a de-icing agent by lowering the temperature at which water freezes into ice.
Step 3: Impact
By keeping the water in liquid form or melting existing ice, it prevents road damage caused by ice expansion and ice-related accidents, thereby minimising wear and tear.
Final Answer: (a)

Step 1: Understand the formula for the potential of a drop.
The potential of a charged drop is given by the formula: where is the Coulomb constant ( ), is the charge, and is the radius of the drop.

Step 2: Combine the charges.
When drops of radius are combined, the total charge remains the same, but the radius of the new drop increases. The new radius can be calculated using the formula for volume conservation: which leads to: The new radius is .

Step 3: Calculate the potential of the new drop.
Now, substitute the new radius and total charge into the potential formula:

Step 1: Understanding the Concept:
Energy given to body increases its mass according to .
Step 2: Detailed Explanation:
Heat energy supplied = .
From : .
Percentage increase = .
Step 3: Final Answer:
Thus, percentage increase = .

Concept: Potential of sphere: Electric field:

Step 1: Substitute Q.