The average value of the wave-from shown in fig. is

Options

A. `15 sqrt(2)`
B. `10sqrt(2)`
C. `10`
D. `15`

Answer

D

Explanation

Equation of line AB is given by `y=10 + ((10)/(T))t`
`y_(av)=(1)/(T) int_(0)^(T) y dt =1/T int_(0)^(T) (10+(10)/(T)t)dt = 1/T |10t+(5t^(2))/(T)|_(0)^(T)=15`