Which of the following statements is incorrect for the time taken by big hand of a clock to reach from one digit to exactly next digit ?

Question

Accepted Answer

The task is to determine which statement is incorrect regarding the time taken by the big hand of a clock to move from one digit to the next. The correct answer is Option 4: "one hour." Here's the explanation:

1. **Explanation for Option 4 (Correct Answer):**
   - The big hand of a clock, also known as the minute hand, moves from one digit to the next in 5 minutes. Since there are 12 digits on a clock face, it takes the minute hand 60 minutes (or one hour) to complete a full circle. Therefore, the statement that it takes "one hour" to move from one digit to the next is incorrect. It only takes 5 minutes, not one hour, to move from one digit to the next.

2. **Explanation for Option 1:**
   - Option 1 states "5 min," which is correct. The minute hand takes exactly 5 minutes to move from one digit to the next on a clock face.

3. **Explanation for Option 2:**
   - Option 2 states "300 sec," which is also correct. Since 5 minutes is equivalent to 300 seconds (5 minutes x 60 seconds per minute), this statement accurately describes the time taken for the minute hand to move from one digit to the next.

4. **Explanation for Option 3:**
   - Option 3 states "$\frac{1}{12}$ hour," which is correct. Since one hour is 60 minutes, $\frac{1}{12}$ of an hour is indeed 5 minutes (60 minutes / 12), which matches the time taken for the minute hand to move from one digit to the next.

In conclusion, Option 4 is the incorrect statement because it inaccurately describes the time taken for the minute hand to move from one digit to the next as "one hour," when it actually takes only 5 minutes.