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Q.

If the unit of length is micrometre and the unit of time is microsecond, then the unit of velocity will be:


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a

100m/s

b

10m/s

c

Micrometres

d

m/s 

answer is D.

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Detailed Solution

Concept: Micrometre and microsecond are the units of length and time, respectively, in the aforementioned question. Any body's velocity is defined as its displacement per unit of time when it is moving at a constant speed. We can therefore determine the unit of velocity in terms of units of velocity and time using the relationship shown above.
Let's imagine the particle is moved so that its net movement is from its initial position. If the body was travelling at constant speed "v" and the time it took for it to be moved by "s'' was "t," then the body's speed is given by,
v=st
The unit of length covered in the question is the micrometre, and the unit of time is the microsecond. A multiplier of ten to the power of minus six is the micro. Consequently, using the equation above, the units of velocity are equal to
v=st
=v=10-6m10-6s
=v=ms
Hence, option 4 is the correct answer.
 
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