InterviewSolution
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Q 13)If x - a bt +ct? ,where x is in metres and t is in seconds. What are the units of a , b ,and c? |
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Answer» The principle of homogeneity of units,, ie. if the left side of an equation is a distance, then each term on the right hand side of that equation, also need to be a distance and seperately. So units of ‘a’ need to be those of distance, unit of b×t are also a distance. Therefore the unit of b = distance/time. Similarly, the units of c t ² also need to be a distance. So units of c = distance /t². Thus units of a = metre, unit of b = metre per second (a velocity or speed), and the unit of c = metre per second per second ( unit of acceleration). This equation reminds us of the equation of motion of a particle in a straight line, with a velocity b metre per second, and an acceleration c metre per second per second. In the equation x gives the displacement of the particle at time t, when the initial displacement of the particle at time t= 0 is ‘a’ metre. tq |
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