GATE 2019: Fluid Mechanics Quiz 13 (App update required to attempt this test)

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Question 1

Which of the following is not correctly matched dimension?

• APower ML²T³
• BTorque ML²/T²
• CModules of elasticity M/LT²
• DViscosity (kinematic) L²/T

Question 2

The dimensionless number which becomes significant when Inertial and Surface Tension Forces tend to dominate is

• AEuler’s Number
• BFroude Number
• CWeber’s Number
• DMach Number

Question 3

In a model test of spillway, the discharge and the velocity of flow over the model were 2 m³/s and 1.5 m/s respectively. The discharge over the prototype which is 36 times the model size will be ____ m³/s.

Answer

Question 4

A phenomenon is modeled using n dimensional variables with k primary dimensions. The number of non-dimensional variables is

• Ak
• Bn
• Cn-k
• Dn+k

Question 5

The drag of a sonar transducer is to be predicted, based on wind tunnel test data. The prototype, a 0.3 m diameter sphere is to be towed at 2.57 m/s in sea-water at 4.5⁰C. the model is 152 mm in diameter. For sea-water at 4.5⁰C,
.
For air at STP,

The required test speed in air will be

• A23.58 m/s
• B37.16 m/s
• C4.716 m/s
• D59.12 m/s

Question 6

A 1 : 10 spilway model has a discharge of 1.5 m³/s. if a flood phenomenon takes 15 hours to occur in the prototype. The time it will take in the model is ________ hours.

• A3.524
• B1.326
• C4.743
• D1.5

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