see question no 14......... ans is 1.33 mm but mine ans is 1.33 *10^-4 m....

It looks like you're working on a problem related to measurements, and it seems there's a bit of confusion regarding the units. Let's clarify the situation and see how we can arrive at the correct answer together.

Understanding the Units

In physics and engineering, it's crucial to keep track of the units you're using. The answer you mentioned, 1.33 mm, is equivalent to 1.33 x 10^-3 meters, not 1.33 x 10^-4 meters. This is a common mistake when converting between millimeters and meters, so let's break it down step by step.

Conversion Between Millimeters and Meters

To convert millimeters to meters, you need to remember the relationship between these two units:

• 1 millimeter (mm) = 0.001 meters (m)
• Therefore, to convert millimeters to meters, you divide the number of millimeters by 1000.

Calculating the Conversion

Now, if we take your answer of 1.33 mm and convert it to meters, we perform the following calculation:

1.33 mm = 1.33 / 1000 = 0.00133 m

In scientific notation, this is expressed as:

0.00133 m = 1.33 x 10^-3 m

Identifying the Error

Your answer of 1.33 x 10^-4 m suggests that you might have divided by 10,000 instead of 1,000. This could happen if you miscalculated or misremembered the conversion factor. Always double-check your calculations to ensure accuracy.

Practical Example

Let’s consider a practical example to reinforce this concept. Imagine you have a small piece of wire that measures 1.33 mm in diameter. If you want to express this measurement in meters for a technical specification, you would convert it as follows:

• 1.33 mm = 1.33 / 1000 = 0.00133 m
• In scientific notation, this is 1.33 x 10^-3 m.

Final Thoughts

Always remember to keep track of your units and conversions. If you find yourself unsure, it can be helpful to write down the conversion factors or even use a calculator to verify your results. This will help you avoid similar mistakes in the future. If you have any more questions or need further clarification, feel free to ask!