1
GATE ME 1999
MCQ (Single Correct Answer)
+2
-0.6
It is proposed to coat a $$1mm$$ diameter wire with enamel paint $$\left( {k\,\,\,\, = 0.1W/m} \right.$$ - $$\left. K \right)$$ to increase heat transfer with air. If the air side heat transfer co-efficiency is $$100$$ $$W/{m^2}K,$$ the optimum thickness of enamel paint should be
A
$$0.25$$ $$mm$$
B
$$0.5$$ $$mm$$
C
$$1$$ $$mm$$
D
$$2$$ $$mm$$
2
GATE ME 1999
MCQ (Single Correct Answer)
+2
-0.6
At a production machine, parts arrive according to a Poisson process at the rate of $$0.35$$ parts per minute. Processing time for parts have exponential distribution with mean of $$2$$ minutes. What is the probability that a random part arrival finds that there are already $$8$$ parts in the system (in machine $$ + $$ in queue)?
A
$$0.0247$$
B
$$0.0576$$
C
$$0.0173$$
D
$$0.082$$
3
GATE ME 1999
MCQ (Single Correct Answer)
+2
-0.6
In computing Wilson’s economic lot size for an item, by mistake the demand rate estimate used was $$40\% $$ higher than the tree demand rate. Due to this error in the lot size computation, the total cost of setups plus inventory holding per unit time, would rise above the true optimum by approximately
A
$$1.4\% $$
B
$$6.3\% $$
C
$$18.3\% $$
D
$$8.7\% $$
4
GATE ME 1999
MCQ (Single Correct Answer)
+2
-0.6
Identify the stress strain in the flange portion of a partially drawn cylindrical cup when deep drawing without a blank holder
A
Tensile in all three directions
B
No stress in the flange at all, because there is no blank - holder
C
Tensile stress in one direction and compressive in the other direction
D
Tensile in two directions and compressive in third direction
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