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BARC OCES 2022 Quiz 16
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Question 1
The Laplace transformation of 
is
is Question 2
If a discrete random variable X has the following probability distribution, then the standard deviation is
Question 3
If 
is purely imaginary, then 
is equal to ________.
is purely imaginary, then is equal to ________. Question 4
A cross flow direct transfer type heat exchanger is used to heat a fluid from 30
to 60
with a fluid entering at 100
and leaving at 50
. Assuming no heat is transferred to outside surroundings and pressure of both the fluids remains constant during the flow. If the correction factor is 0.7 then find the LMTD of the heat exchanger.
to 60 with a fluid entering at 100 and leaving at 50. Assuming no heat is transferred to outside surroundings and pressure of both the fluids remains constant during the flow. If the correction factor is 0.7 then find the LMTD of the heat exchanger. Question 5
A parallelepiped enclosure measures 3 m × 3.5 m with 4 m height. The bottom floor having 0.75 emissivity is maintained at 380 K and all other surfaces (emissivity = 0.8) are maintained at 505 K. The net radiation (in kW) to the floor will be
Question 6
A circular bar rigidly fixed at its both ends uniformly taper from 150 mm at one end to 100 mm at the other end. If its temperature is raised through 30K, what will be maximum stress developed in the bar.
[Take E as 200 GPa and
as 
for the bar materials]
[Take E as 200 GPa and
as for the bar materials] Question 7
A spring mass system has natural frequency 80 rad/s. What is the damping ratio required if it is desired to reduce this frequency to 40rad/s by adding damper to it?
Question 8
An ideal gas is flowing through an insulated pipe at the rate of 4 kg/s. If there is a 15% pressure drop due to friction from inlet to exit of pipe then the rate of exergy loss is ( take R =0.287 kJ/kgK, and atmospheric temperature 27
)
) Question 9
A centrifugal type of clutch is used to transmit a torque of 150 Nm. The shoe material has friction coefficient of 0.3 and weight of each shoe is 5kg. The distance from of CG of shoe from center of the drum is 40mm. If the angular velocity is 0.5 rad/sec, the centrifugal force generated is; (Take g = 10 m/s2)
Question 10
A fluid flows through 90 cm long nozzle. The velocity at the centreline changes from 3 m/s to 30 m/s. The change in magnitude of convective acceleration is
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ESE & GATE MEGeneralMar 27ESE & GATE ME
