Question: A physical quantity A is related to four observable $a , b , c$ and d as follows, \(A = \frac {...

Question

A physical quantity A is related to four observable $a , b , c$ and d as follows, $A = \frac { a ^ { 2 } b ^ { 3 } } { c \sqrt { d } }$ , the percentage errors of

measurement in $a , b , c$ and d are 1%,3%,2% and 2% respectively. What is the percentage error in the quantity A?

Answer 1

Solution

(d)

Sol. Percentage error in A

$= \left( 2 \times 1 + 3 \times 3 + 1 \times 2 + \frac { 1 } { 2 } \times 2 \right) \% = 14 \%$

Question: A physical quantity A is related to four observable \(a , b , c\) and d as follows, \(A = \frac {...

Solution