Which of the following is equivalent to 5 µm/ns?555 x 10-6m/s5 x 106 m/s5 x 103 m/s5 x 10-3m/s
Question
Which of the following is equivalent to 5 µm/ns?
- 5 x 10^-6 m/s
- 5 x 10^6 m/s
- 5 x 10^3 m/s
- 5 x 10^-3 m/s
Solution
The equivalent of 5 µm/ns is 5 x 10^6 m/s.
Here's the step-by-step conversion:
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First, understand that µm/ns is a unit of speed, just like m/s. µm stands for micrometers, which is a unit of length, and ns stands for nanoseconds, which is a unit of time.
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To convert µm/ns to m/s, we need to convert micrometers to meters and nanoseconds to seconds.
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There are 1,000,000 (10^6) micrometers in a meter and 1,000,000,000 (10^9) nanoseconds in a second.
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Therefore, 5 µm/ns is equivalent to 5 * (10^6 m/10^9 s) = 5 * 10^-3 m/s.
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However, because we are dividing by a fraction (10^6/10^9), we can simplify this to 5 * 10^6 m/s.
So, the correct answer is 5 x 10^6 m/s.
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