1.

If A=B+ (C)/(D+E)the dimensions of B and Care [M^(0)LT^(-1)] and [M^(0)LT^(0)], respectively. Find the dimensions of A, D and E.

Answer» <html><body><p>`[A]= [M^(<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>)L^(0)T^(-1)], [D]= [T], [E]= [LT]`<br/>`[A]= [<a href="https://interviewquestions.tuteehub.com/tag/mlt-2163963" style="font-weight:bold;" target="_blank" title="Click to know more about MLT">MLT</a>^(0)], [D]= [T^(2)], [E]= [T^(2)]`<br/>`[A]= [M^(0)LT^(-1)], [D]= [MT], [E]= [MT]`<br/>`[A]= [M^(0)LT^(-1)], [D]= [T], [E]= [T]`</p>Solution :As `A= <a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>+ (C)/(D+E)` <br/> `:. [D]= [E]` <br/> `:. [A]= [B]= [(C)/(D+E)]= [(C)/(D)]= [(C)/(E)] :. [A]= [B]= [M^(0)LT^(-1)]` <br/><br/> `[(C)/(D)]= [A]= [M^(0)LT^(-1) ]`<br/> `[D]= [E]= [(C)/(LT^(-1)] = ( [M^(0)LT^(0) ])/( [M^(0)LT^(-1) ])= [T]`</body></html>


Discussion

No Comment Found