It is desired to develop a wave energy system on the east coast of Bombay High. According to the Wind and Wave Atlas, the yearly average significant wave height is about $1\mathrm{.}5$ meters with a period of $8$ seconds. The system should therefore be optimized for this condition. The location for the system has a typical water depth of $35$ meters

i$)$ If the system is to produce $100kW$ of power under this condition at an assumed efficiency of $50\%,$ over what length must the wave energy be extracted?

ii$)$ During fall and winter storms, the significant wave height can be as high as $7$ meters. What is the expected wave power generated in this condition?