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If the unit of length is micrometer and the unit of time is microsecond, the unit of velocity will be :
- a)100 m/s
- b)10 m/s
- c)micrometers
- d)m/s
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If the unit of length is micrometer and the unit of time is microsecon...
The correct answer is micrometre/microsecond
Original unit of Velocity is m/s
To convert into demanded unit Numerical Calculation..
Unit of length is micrometre not metre.
Unit of Time is microsecond not second.
Then Unit of Velocity would be -
micrometre/microsecond
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If the unit of length is micrometer and the unit of time is microsecon...
The unit of velocity is defined as the change in position per unit time. It is given by the equation:
velocity = displacement / time
In this question, the unit of length is given as micrometer and the unit of time is given as microsecond. To find the unit of velocity, we need to substitute these units into the equation.
1. Conversion of units:
- 1 micrometer = 10^-6 meters (since 1 meter = 10^6 micrometers)
- 1 microsecond = 10^-6 seconds (since 1 second = 10^6 microseconds)
2. Substituting the units into the equation:
velocity = (displacement in micrometers) / (time in microseconds)
3. Simplifying the equation:
velocity = (displacement in micrometers) * (10^6 / 10^6) / (time in microseconds)
4. Canceling out the units:
velocity = (displacement in meters) / (time in seconds)
From the simplified equation, we can see that the unit of velocity is meters per second (m/s). Therefore, the correct answer is option 'D' - m/s.
To summarize:
- The unit of velocity is obtained by dividing the unit of displacement (length) by the unit of time.
- Given that the unit of length is micrometer and the unit of time is microsecond, we convert them to meters and seconds respectively.
- After substituting the units into the equation and canceling out the common factors, we find that the unit of velocity is m/s.
velocity = displacement / time
In this question, the unit of length is given as micrometer and the unit of time is given as microsecond. To find the unit of velocity, we need to substitute these units into the equation.
1. Conversion of units:
- 1 micrometer = 10^-6 meters (since 1 meter = 10^6 micrometers)
- 1 microsecond = 10^-6 seconds (since 1 second = 10^6 microseconds)
2. Substituting the units into the equation:
velocity = (displacement in micrometers) / (time in microseconds)
3. Simplifying the equation:
velocity = (displacement in micrometers) * (10^6 / 10^6) / (time in microseconds)
4. Canceling out the units:
velocity = (displacement in meters) / (time in seconds)
From the simplified equation, we can see that the unit of velocity is meters per second (m/s). Therefore, the correct answer is option 'D' - m/s.
To summarize:
- The unit of velocity is obtained by dividing the unit of displacement (length) by the unit of time.
- Given that the unit of length is micrometer and the unit of time is microsecond, we convert them to meters and seconds respectively.
- After substituting the units into the equation and canceling out the common factors, we find that the unit of velocity is m/s.
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If the unit of length is micrometer and the unit of time is microsecond, the unit of velocity will be :a)100 m/sb)10 m/sc)micrometersd)m/sCorrect answer is option 'D'. Can you explain this answer?
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