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Q. The position of the particle moving along Y-axis is given as y = $ At^2 - Bt^3 $, where y is measured in metre and $t$ in second. Then the dimensions of B is

Physical World, Units and Measurements

Solution:

As y = B $ [ T^3 ] $
$\Rightarrow [ L ] = B [ T^3 ] $
$\therefore B = [ LT^{ - 3} ] $