A tube `1 cm^2` in cross- section is attached to the top of a vessel 1 cm high and of cross - section 100 `cm^2` Water is poured into the system filling it to a depth of 100 cm above the bottom of the vessel as shown in fig. Take g =10 `ms^(-2)` .

Options

A. The force exerted by water against the bottom of the vessel is 100 N
B. The weight of water in the system is 1.99 N
C. Both (A) and (B) are correct
D. Neither (A) nor (B) is correct

Answer

C

Explanation

Pressure at bottom ` P = rho gh ` And force `F = rho gh xx A `
` F = 10 ^5 xx 100 ` dyne, F = 100 N
Weight ` = (199 xx 1 ) xx 1000 ` dyne = 1.99 N