EWT | Academic Question

Questions
Question (1)
QN0035609

In Bernoulli's theorem which of the following is conserved?

  • (A)

    Mass

  • (B)

    Linear momentum

  • (C)

    Energy

  • (D)

    Angular momentum

Correct Answer: C
Explanation:

In Bernoulli's theorem only law of conservation of energy is obeyed.

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Question (2)
QN0035610

A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following:

  • (A)

    the speed is high at the wider end and high at the narrow end.

  • (B)

    the speed is low at the wider end and high at the narrow end.

  • (C)

    the speed is same at both ends in a stream line flow.

  • (D)

    the liquid flows with uniform velocity in the tube.

Correct Answer: B
Explanation:

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Question (3)
QN0035611

Water flows through a frictionless tube with a varying cross-section as shown in fig. Pressure  at points along the axis is represented by

  • (A)
  • (B)
  • (C)
  • (D)

Correct Answer: A
Explanation:

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Question (4)
QN0035612

A wide vessel with a small hole at the bottom is filled with water (density , height  ) and kerosene (density , height  ). Neglecting viscosity effects, the speed with which water flows out is :

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

As .

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Question (5)
QN0035613
  1. Consider a cylindrical tank of radius  is filled with water. The top surface of water is at  from the bottom of the cylinder. There is a hole on the wall of cylinder at a height of  from the bottom: A force of is applied on the top surface of water using a piston. The speed of efflux from the hole will be :

(given atmospheric pressure , density of water  and gravitational acceleration  )                                                                                    

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Apply Bernoulli's theorem between Piston and hole

Assuming there is no atmospheric pressure on piston

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Question (6)
QN0035614
  1. Water flows in a horizontal tube (see figure). The pressure of water changes by  between  and  where the area of cross section are  and , respectively. Find the rate of flow of water through the tube. (density of water                                             

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

According to question, area of cross-section at   and at

Let velocity of liquid flow at  and at

Using equation of continuity

Now, using Bernoulli's equation

Volume flow rate

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Question (7)
QN0035615

A liquid is filled upto a height of  in a cylindrical vessel. The speed of liquid coming out of a small hole at the bottom of the vessel is 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Velocity of efflux

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Question (8)
QN0035616
  1. In the diagram shown, the difference in the two tubes of the manometer is , the cross section of the tube at  and  is  and  respectively. The rate at which water flows through the tube is                                                                                                      

A diagram of a measurement

Description automatically generated

  • (A)

               

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

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Question (9)
QN0035617

Air flows horizontally with a speed . A house has plane roof of area . The magnitude of aerodynamic lift of the roof is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

Air flows just above the roof and there is no air flow just below the roof inside the room. Therefore  and . Applying Bernaulli's theorem at the points inside and outside the roof, we obtain.

Since the area of the roof is , the aerodynamic lift exerted on it

where  density of air

.

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Question (10)
QN0035618

A wind with speed  blows parallel to the roof of a house. The area of the roof is . Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be  ) 

  • (A)

    , upwards

  • (B)

    , downwards

  • (C)

    , upwards

  • (D)

    , downwards

Correct Answer: B
Explanation:

According to Bernoulli's theorem,

So,

(upwards)

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