Question

the pressure at the base of a column of liquid of length L and held at an angle theta to the vertical is

(a) p(rho)gl

(b) pgl sin theta

(c) pg cos theta

(d) pgl cos theta

plz do anwer fast.....

Answer 1

Answer:

Pressure at the base of a liquid column =hdg

Here h=height of the column

d=density of liquid

g=acceleration due to gravity

since the column is inclined at an angle θ the vertical height=l cosθ

Pressure=lcosθ*d*g

             =ldgcosθ

Here P=d=density

so option (d) is correct

=pgl cosθ

Answer 2

Given : A column of liquid of length L is held at an angle θ with the vertical as shown in figure.

To find : pressure exerted by liquid at the base of column , P = weight along plane of column/cross sectional area

= mgcosθ/A

we know, mass = density × volume

m = ρ × AL

so, P = (ρ AL)cosθ/A = ρgLcosθ

Therefore pressure exerted by liquid at the base is ρgLcosθ.

So, option (d) is correct choice.

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