Q.

A bus travels distance x1 when accelerates from rest at constant rate a1 for some time and after that travels a distance x2 when decelerates at a constant rate a2 to come to x1+x2=a1a2t22a1+a2. Choose the correct option(s).

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a

The relation is dimensionally correct

b

The relation is dimensionally incorrect

c

The relation may be dimensionally correct

d

None of the above

answer is A.

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Detailed Solution

LHS =x1+x2=x1=x2=M0LT0RHS=a1a2t22a1+a2 =LT−2LT−2T2LT−2=M0LT0∵  LHS = RHS According to homogeneity principle, equation is dimensionallycorrect.Hence, option (a) is correct.
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A bus travels distance x1 when accelerates from rest at constant rate a1 for some time and after that travels a distance x2 when decelerates at a constant rate a2 to come to x1+x2=a1a2t22a1+a2. Choose the correct option(s).