deduce the error of the product of two physical quantities P and Q.?
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Answer:
Force and displacement
P×Q=ML
2
T
−2
Q
P
=MT
−2
Let: P=M
A
l
B
T
C
and Q=M
a
l
b
T
c
P×Q=M
A+a
l
B+b
T
C+c
=M
1
l
2
T
−2
A+a=1;B+b=2;C+c=−2
Q
P
=M
A−a
l
B−b
T
C−c
=MT
−2
A−a=1;B−b=0;C−c=−2
⇒A=1,a=0B=b=1,C=−2,c=0
So, P=MlT
−2
→force
Q=M
0
l
1
T
0
→displacement
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