$($a$)$ How many ohms are there in a $7\mathrm{.}85$ megohm resistor? $($b$)$ Typical laboratory capacitors are around $5$ picofarads. How many farads are they? $($c$)$ The speed of light in vacuum is $3\mathrm{.}00$ x $10\%$ m$/$s$.$ Express this speed in gigameters per second. $($d$)$ The wavelength of visible light is between $400$ nm and $700$ nm$.$ Express this wavelength in meters. $($e$)$ The diameter of a typical atomic nucleus is about $2$ femtometers. Express this diameter in meters.