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Velocity `v` is given by `v=at^(2)+bt+c`, where `t` is time. What are the dimensions of `a, b and c` respectively?A. `["LT"^(-3)],["LT"^(-2)]and["LT"^(-1)]`B. `["LT"^(-1)],["LT"^(-2)]and["LT"^(-3)]`C. `["LT"^(-2)],["LT"^(-3)]and["LT"^(-1)]`D. `["LT"^(-1)],["LT"^(-3)]and["LT"^(-2)]` |
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Answer» Correct Answer - A Dimensions of velocity are `["V"]=["L"]["T"^(-1)]` So, deminsions of `["at"^(2)]=["LT"^(-1)]` `rArr" "["a"]["T"^(2)]=["LT"^(-1)]` `rArr" "["a"]=["LT"^(-3)]` Dimensions of `["bt"]=["LT"^(-1)]rArr["b"]["T"]=["LT"^(-1)]` `rArr" "["b"]=["LT"^(-2)]` Dimensions of `["c"]=["LT"^(-1)]` |
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