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BARC 2020 : Mini Mock 3
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Question 1
Heat is generated uniformly in a long solid cylindrical rod (diameter = 10mm) at the rate of
. The thermal conductivity of the rod material is 25W/m.K. Under steady state conditions, the temperature difference between the centre and the surface of the rod is _________ °C.
![](https://gradeup-question-images.grdp.co/liveData/PROJ5121/1496490094093989.png)
Question 2
Air at 20 °C flows past a 250 mm long plates at a velocity of 45 m/s. If the surface of the plate is maintained at 300 °C. Take properties of air as: k = 0.03638 W/m-K,
Pr = 0.682. The heat transferred from the entire plate length to air assuming unit width of the plate will be ____ W.
![](https://gradeup-question-images.grdp.co/equations/1529908008596.png)
Question 3
The value of integral
, where
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ23866/154357152189577.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ23866/1543571522639848.png)
Question 4
For any three vectors
, the value of
![](https://gradeup-question-images.grdp.co/equations/1569838948589.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ20329/153442057891156.png)
![](https://gradeup-question-images.grdp.co/equations/1569838948589.png)
Question 5
In an experiment, the local heat transfer over a flat plate were correlated in the form of local Nussel number as expressed by the following correlation.
The ratio of the average convection heat transfer coefficient (
) over the entire plate length to the local convection heat transfer convection heat transfer coefficient (hx) at x=L is ____________.
![Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image076.png](https://gradeup-question-images.grdp.co/liveData/PROJ1411/1480423577706290.png)
The ratio of the average convection heat transfer coefficient (
![Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image077.png](https://gradeup-question-images.grdp.co/liveData/PROJ1411/1480423578541714.png)
Question 6
A solid copper ball of mass 0.5 kg when quenched in a water bath at 300C, cools from 5300C to 4300C in 10 seconds. What will be the temperature (0C) of the ball after the next 10 seconds?
Question 7
![](https://gradeup-question-images.grdp.co/equations/1561534308911.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ23866/154357152014561.png)
The value of K is
Question 8
Consider steady-state heat conduction across the thickness in a plane composite wall (as shown in the figure) exposed to convection conditions on both sides.
Given: hi = 20 W/m2K; ho = 50 W/m2K; T∞,i= 20 °C: T∞,o= -2 °C; k1 = 20 W/mK; k2 = 50 W/mK; L1 = 0.30 m and L2 = 0.15 m. Assuming negligible contact resistance between the wall surfaces, the interface temperature, T (in °C), of the two walls will be
![](https://gs-post-images.grdp.co/2019/10/2019-10-15-1-img1571130718467-98.png-rs-high-webp.png)
Given: hi = 20 W/m2K; ho = 50 W/m2K; T∞,i= 20 °C: T∞,o= -2 °C; k1 = 20 W/mK; k2 = 50 W/mK; L1 = 0.30 m and L2 = 0.15 m. Assuming negligible contact resistance between the wall surfaces, the interface temperature, T (in °C), of the two walls will be
![](https://gs-post-images.grdp.co/2019/10/2019-10-15-1-img1571130718467-98.png-rs-high-webp.png)
Question 9
If x is real, the maximum value of
is ____________.
![](https://gs-post-images.grdp.co/2019/12/13-img1575625244690-86.jpg-rs-high-webp.jpg)
Question 10
Find the net value of heat flux between two parallel, infinite plates having emissivity of 0.75 and 0.7. The planes are maintained at 450 K and 500 K.
Question 11
A real (4 × 4) matrix A satisfies the equation A2 = I, where I is the (4 × 4) identity matrix. The positive eigen value of A is __________.
Question 12
If for an event A, the odds in favour of the event are 5 to 4. The probability of success of A is:
Question 13
A hot body at a temperature of 5000 °C emits radiation at a wavelength of 0.5 μm. A furnace at 500 °C will emit a radiation of wavelength______.
Question 14
The inverse Laplace transform:
Question 15
The area of the plane region bounded by the curves and x+3y2=1 is equal to ____ sq. units.
Question 16
The values of function 𝑓(x) at 5 discrete poets are given below:
using Trapezoial rule with step size or 0.1, the value or
is_______
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2015-P2_files\image055.jpg](https://gs-question-images.grdp.co/1458371889079320.jpg)
using Trapezoial rule with step size or 0.1, the value or
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2015-P2_files\image056.png](https://gs-question-images.grdp.co/145837188975610.png)
Question 17
Air flows at a heated plate at a velocity of 42m/s. The local skin friction coefficient of plate is 0.005. Estimate the local heat transfer coefficient(in W/m2k) at that point. The properties of air are as follows: ƿ= 0.89kg/
, μ= 2.286×
kgm/s, Cp= 1.001kJ/kgK, k= 0.04W/mK. Use St
=
.
![](https://gradeup-question-images.grdp.co/liveData/PROJ17184/1532168088408631.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ17184/1532168089104887.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ17184/1532168089818460.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ17184/1532168090528991.png)
Question 18
A scalar function is defined as f(x,y) = x2 + y2. Consider
as unit vectors along the x and y axis respectively. The direction at which the function increases fastest at the point (x,y) = (3,4) is
![](https://gradeup-question-images.grdp.co/liveData/PROJ36688/1567601672098738.png)
Question 19
One dimensional unsteady state heat transfer equation for a sphere with heat generation at the rate of ‘q’ can be written as
Question 20
A pipe of 25 mm outer diameter carries steam. The heat transfer coefficient between the cylinder and surroundings is 5W/m2K. It is proposed to reduce the heat loss from the pipe by adding insulation having a thermal conductivity of 0.05 W/mK. Which one of the following statements is TRUE?
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