Question

Q38. Two pipes, each of diameter d, converge to form a pipe of diameter D. What should be the relation between d and D such that the how velocity in the third pipe
becomes half of that in each of the two pipes?
O (A) d/2
(B) d/5
O (C) d/4
0 (D) d/3​

Answer 1

Answer:

The word “eclipse” comes from the Latin “eclipsis,” drawn in turn from the Greek “ekleipsis.” That Greek noun is related to the verb “ekleipein,” consisting of “ek” (meaning “from”) and “leipein” (meaning “to leave”). So literally, eclipse means “to fail to appear” or “to abandon an accustomed place.”

Answer 2

Answer:

The correct option is (c) D/4

Therefore, when d= D/4 the velocity in the third pipe becomes half of that in each of the two pipes.

Explanation:

• The Continuity Equation states that : An equation that describes the movement of a certain amount is known as a continuity equation or transport equation.
• When used on a conserved quantity, it is especially straightforward and effective, although it can be applied to any substantial quantity in general.
• A more robust and localised version of conservation rules are continuity equations.
• The weak law of conservation of energy, for instance, states that energy cannot be created or destroyed and that the total amount of energy in the cosmos is constant.
• This assertion does not preclude the idea that a certain amount of energy may leave one spot while also appearing at another.

∑$A_iv_i =$ ∑ $A_ov_o$

(n,i=1).    (n,o=1)

where ’A’ actually represents flow area, and ‘v‘ here represents flow velocity, ’i’ is for inlet conditions and finally ’o’ is for outlet conditions. Thus,

$A_1v_1 + A_2v_2 =Av$

$d^2v +d^2v = D^v^/^2$

d = D ⁄ 4.

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