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» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/mlt-2163963" style="font-weight:bold;" target="_blank" title="Click to know more about MLT">MLT</a>^(-3)` and `MLT^(-4)`<br/>`MLT^(-1)` and `MLT^(0)`<br/>`MLT^(-3)` and `MLT^(4)`<br/>`MLT^(-4)` and `MLT`</p>Solution :`F= at + bt^<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>`<br/>According to principle of homogeneity , the <a href="https://interviewquestions.tuteehub.com/tag/force-22342" style="font-weight:bold;" target="_blank" title="Click to know more about FORCE">FORCE</a> becomes, <br/> `MLT^2 = MLT^(-2) + MLT^(-2)` <br/>Comparing (1) and (2) , we get a `= MLT^(-3) , b= MLT^(-4)`</body></html>