Make F the subject of the formula t = (sqrt{frac{v}{frac{1}{f} + frac{1}{g}}})
-
A.
(frac{gv-t^2}{gt^2}) -
B.
(frac{gt^2}{gv-t^2}) -
C.
(frac{v}{frac{1}{t^2} – frac{1}{g}}) -
D.
(frac{gv}{t^2 – g})
Correct Answer: Option B
Explanation
t = (sqrt{frac{v}{frac{1}{f} + frac{1}{g}}})
t2 = (frac{v}{frac{1}{f} + frac{1}{g}})
= (frac{vfg}{ftg})
(frac{1}{f} + frac{1}{g}) = (frac{v}{t^2})
= (g + f)t2 = vfg
gt2 = vfg – ft2
gt2 = f(vg – t2)
f = (frac{gt^2}{gv-t^2})