S= A(1-e^(-Bxt)) where S is speed, t is time and x is displacement. Then unitof B is

S= A(1-e^(-Bxt)) where S is speed, t is time and x is displacement. Th

1.	S= A(1-e^(-Bxt)) where S is speed, t is time and x is displacement. Then unitof B is
Answer» `m^(-1)s^(-1)` `m^(-2)s` `s^(-2)` `s^(-1)` Solution :The power of EXPONENT is ALWAYS dimensionless. `:. [BXT]= [M^(0)L^(0)T^(0)], [B]=(1)/([xt])= (1)/([M^(0)LT])= [M^(0)L^(-1)T^(-1)]` Hence UNIT of B is `m^(-1)s^(-1)`