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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