The loss of head due to viscosity for laminar flow in pipes is (where d = Diameter of pipe, $$l$$ = Length of pipe, v = Velocity of the liquid in the pipe, $$\mu $$ = Viscosity of the liquid and w = Specific weight of the flowing liquid)

What is the condition for a tree to be weight balanced. where a is factor and n is a node? >= aweight and weight >= aweight. b) weight >= aweight and weight >= aweight. c) weight >= aweight and weight >= aweight. d) weight is a non zero

A

weight >= a*weight and weight >= a*weight.

B

n.left

C

n.left

D

n.left

Weight of Arun is 4/7 of the weight of Bablu. Weight of Bablu is 1/2 of the weight of Ram. Weight of Ram is 4 times of the weight of Deep. Weight of Deepis 1/9 of the weight of Ankit. Whose weight is more than the weight of Deep but less than the weight of Bablu?

A

Ankit

B

Arun

C

Ram

D

Deep

Find the appropriate relation for quantity 1 and quantity 2 in the following question: An artificial kund is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the kund at the same time during which the kund is filled by the third pipe alone. The second pipe fills the kund 5 hours faster than the first pipe and 4 hours slower than the third pipe. Quantity 1: The time required by the first pipe? Quantity 2: Time taken by all three pipes to fill the Kund simultaneously

A

Quantity 1 > Quantity 2

B

Quantity 1 \u2265 Quantity 2

C

Quantity 1 < Quantity 2

D

Quantity 1 \u2264 Quantity 2

A liquid flows with the same velocity through two pipes 1 and 2 having the same diameter. If the length of the second pipe be twice that of the first pipe, what should be the ratio of the head loss in the two pipes?

A

1:2

B

2:1

C

1:4

D

4:1

Weight of Alok is twice the weight of Karan. Weight of Karan is one-fourth of the weight of Roma. Weight of Roma is twice of the weight of Tipu. Weight of Tipu is twice of the weight of Shivam. The weight of Roma is greater than the weight of how many persons among Alok, Karan, Shivam and Tipu?

A

3

B

4

C

0

D

2

Weight of L is one-fourth of the weight of V. Weight of V is twice of the weight of B. Weight of B is half of the weight of C. Weight of C is thrice of the weight of H. The weight of V is greater than the weight of how many persons among L, B, H and C?

A

3 \

B

2

C

1

D

0

According to Darcy's formula, the loss of head due to friction in the pipe is (where f = Darcy's coefficient, $$l$$ = Length of pipe, v = Velocity of liquid in pipe and d = Diameter of pipe)

A

$$\frac{{{\text{f}}l{{\text{v}}^2}}}{{2{\text{gd}}}}$$

B

$$\frac{{{\text{f}}l{{\text{v}}^2}}}{{{\text{gd}}}}$$

C

$$\frac{{3{\text{f}}l{{\text{v}}^2}}}{{2{\text{gd}}}}$$

D

$$\frac{{{\text{4f}}l{{\text{v}}^2}}}{{2{\text{gd}}}}$$

The length AB of a pipe ABC in which the liquid is flowing has diameter (d₁) and is suddenly contracted to diameter (d₂) at B which is constant for the length BC. The loss of head due to sudden contraction, assuming coefficient of contraction as 0.62, is

A

$$\frac{{{\text{v}}_1^2}}{{2{\text{g}}}}$$

B

$$\frac{{{\text{v}}_2^2}}{{2{\text{g}}}}$$

C

$$\frac{{0.5{\text{v}}_1^2}}{{2{\text{g}}}}$$

D

$$\frac{{0.375{\text{v}}_2^2}}{{2{\text{g}}}}$$

The length AB of a pipe ABC in which the liquid is flowing has diameter (d₁) and is suddenly enlarged to diameter (d₂) at B which is constant for the length BC. The loss of head due to sudden enlargement is

A

$$\frac{{{{\left( {{{\text{v}}_1} - {{\text{v}}_2}} \right)}^2}}}{{\text{g}}}$$

B

$$\frac{{{\text{v}}_1^2 - {\text{v}}_2^2}}{{\text{g}}}$$

C

$$\frac{{{{\left( {{{\text{v}}_1} - {{\text{v}}_2}} \right)}^2}}}{{2{\text{g}}}}$$

D

$$\frac{{{\text{v}}_1^2 - {\text{v}}_2^2}}{{2{\text{g}}}}$$

Two pipes of diameters d1 and d2 converge to form a pipe of diameter d. If the liquid flows with a velocity of v1 and v2 in the two pipes, what will be the flow velocity in the third pipe?

A

$\frac{d_1v_1+d_2v_2}{d}$

B

$\frac{d^2(v_1+v_2)}{d}$

C

$\frac{(d_1+d_2)^2(v_1+v_2)}{d^2}$

D

$\frac{d_1^2 v_1 + d_2^2 v_2}{d^2}$