1
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+2
-0.66
The steady velocity field in an inviscid fluid of density 1.5 is given to be $\vec{V}=(y^2-x^2)\hat{i}+(2xy)\hat{j} $. Neglecting body forces, the pressure gradient at (x =1, y = 1) is ______.
A
10 ĵ
B
20 î
C
-6î - 6ĵ
D
-4î - 4ĵ
2
GATE ME 2022 Set 2
Numerical
+2
-0

A uniform wooden rod (specific gravity = 0.6, diameter = 4 cm and length = 8 m) is immersed in the water and is hinged without friction at point A on the waterline as shown in the figure. A solid spherical ball made of lead (specific gravity = 11.4) is attached to the free end of the rod to keep the assembly in static equilibrium inside the water. For simplicity, assume that the radius of the ball is much smaller than the length of the rod.

Assume density of water = 103 kg/m3 and π = 3.14.

Radius of the ball is _______ cm (round off to 2 decimal places).

GATE ME 2022 Set 2 Fluid Mechanics - Fluid Statics Question 2 English
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3
GATE ME 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33
Which of the following non-dimensional terms is an estimate of Nusselt number?
A
Ratio of internal thermal resistance of a solid to the boundary layer thermal resistance
B
Ratio of the rate at which internal energy is advected to the rate of conduction heat transfer
C
Non-dimensional temperature gradient 
D
Non-dimensional velocity gradient multiplied by Prandtl number
4
GATE ME 2022 Set 2
Numerical
+1
-0

Wien’s law is stated as follows: λmT = C, where C is 2898 μm.K and λm is the wavelength at which the emissive power of a black body is maximum for a given temperature T. The spectral hemispherical emissivity (ελ) of a surface is shown in the figure below (1 Å = 10-10 m). The temperature at which the total hemispherical emissivity will be highest is K (round off to the nearest integer).

GATE ME 2022 Set 2 Heat Transfer - Radiation Question 2 English
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