The energy of a system is given as E(t)= 3e- t, where t is the time and =0.3 s-1. The errors in the measurement of and t are 1.2\% and 1.6\%, respectively. At t=5 s, maximum percentage error in the energy is :
- 6\%
- 11.6\%
- 4\%
- 8.4\%
Answer
(1) 6\%
Solution
E=3 - t EE=3 + t
t=1.6\% of 5 s=0.08 s
EE=3(0.012)+0.3(0.08)=0.036+0.024=0.06
Maximum error = 6\%
Answer: (1)