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NEET Class neet Answered

Two physical quantities A and B have different dimensions. Which mathematical operation given below is physically possible? –(1) (AB)^1/2,      (2) A(1+B),  (3) A–B, (4) A+B.
Asked by patra04011965 | 03 Aug, 2019, 12:02: AM
answered-by-expert Expert Answer
Option (2), (3) and (4) are ruled out because we can not add two physical quantities that have different dimensions.
 
Hence option (1) (AB)1/2 is possible
 
example :-
if A is  distance having dimension  L and B is acceleration having dimension L T -2
then dimension of (AB)1/2  = ( L LT -2 )1/2 = L T -1  i.e., dimension of (AB)1/2 is same as that of speed
Answered by Thiyagarajan K | 03 Aug, 2019, 10:14: AM
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