The Norton current is the_______
a) Short circuit current
b) Open circuit current
c) Open circuit and short circuit current
d) Neither open circuit nor short circuit current

Explanation

(a) ` 2P_0 = (h_2 +h_0) rho g `
` [:. Since liquids at same level`
have same pressure
` rArr 2P_0 = (h_2) rho g + (h_0) rho g `
` rArr (h_2)rho g = 2(P_0)-(h_0)rho g `
` rArr (h_2) = (2(P_0)/rho g) - ((h_0) rho g/rho g)`
` = (2(P-0)/ rho g)- (h_0)`
` (b) K.E. of the water = pressure energy of `
the water at that layer
` rArr 1/2 m(V_2) = m xx (p/ rho)`
` rArr (V_2)= (2P/rho)= 2/rho [P-0 +rho g (h_1 - h_0)]`
` rArr V = ([2/rho {(P_0)+ rho g (h_1 -h_0)}]^1/2)`
(c) From question,
` 2(P_0)+ rho g (h_1 - h_0) = (P_0)+ rho g X`
` rArr X = (P_0/rho g )+(h_1 - h_0) = h_2+ h_1 `
` i.e. X is h_1 meter below the top `
` rArr X is -h_1 above the top. `