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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 a2to come to rest. A student established a relation x1+x2 = a1a2t22(a1+a2)Choose the correct option

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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] = [M0LT0]RHS = [a1a2t22(a1+a2)]= [LT-2][LT-2][T2][LT-2] = [M0LT0]∴ LHS = RHSAccording to homogeneity principle, equation is dimensionally correctHence, option (1) is correct

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