Force F is given by F=at+bt^(2). Where ''t'' is time. What are the dimensions of ''a'' and ''cb''?

Force F is given by F=at+bt^(2). Where ''t'' is time. What are the dim

1.	Force F is given by F=at+bt^(2). Where ''t'' is time. What are the dimensions of ''a'' and ''cb''?
Answer» `MLT^(-3)` and `MLT^(-4)` `MLT^(-1)` and `MLT^(0)` `MLT^(-3)` and `MLT^(4)` `MLT^(-4)` and `MLT` Solution :`F= at + bt^2` According to principle of homogeneity , the FORCE becomes, `MLT^2 = MLT^(-2) + MLT^(-2)` Comparing (1) and (2) , we get a `= MLT^(-3) , b= MLT^(-4)`