One day in the morning, Ramesh filled up 1//3 bucket of hot water from geyser, to take bath, Remaining 2//3 was to be filled by cold water (at room temperature) to bring mixture to a comfortable temperature. Suddenly Ramesh had to attend to something which would take some times, say 5 -10 minutes before he could take bath. Now he had two options : (i) fill the remaining bucket completely by cold water and then attend to the work, (ii) first attend to the work and fill the remaining bucket just before taking bath. Which option do you think would have kept water warmer ? Explain.

Explanation

To determine which option Ramesh should choose to keep the water warmer, we can analyze the situation using Newton's Law of Cooling. Here’s a step-by-step solution:

### Step 1: Understand the Initial Conditions
Ramesh fills 1/3 of the bucket with hot water and plans to fill the remaining 2/3 with cold water. The hot water has a higher temperature compared to the surrounding environment (room temperature).

**Hint:** Consider the initial temperature of the hot water and how it compares to the temperature of the cold water and the surrounding air.

### Step 2: Analyze Option (i)
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