Question

In an experiment, four quantities a, b, c and d
are measured with percentage errors 1%, 2%,
3% and 4% respectively. Quantity P is
calculated as follows:
P= % error in P is
[2013]
cd
((A)) 14%
(B) 10%
(C) 7%

Answer 1

Answer:

The percentage error in P is 14%. Therefore, Hence, The percentage error in P is 14

Answer 2

Answer:

quantity P is calculated as follows P=\frac{a^3b^2}{cd}P=

cd

a

3

b

2

formula of % error should be,

% error in P = 3 × % error in a + 2 × % error in b + % error in c + % error in d

Given,

% error in a = 1 %

% error in b = 2 %

% error in c = 3%

% error in d = 4%

hence, % error in P = 3 × 1 + 2 × 2 + 3 + 4

= 3% + 4% + 3% + 4%

= 14%

hence, percentage error in P = 14%