ISRO Scientist or Engineer Mechanical May 2017

Instructions

For the following questions answer them individually

ISRO Scientist or Engineer Mechanical May 2017 - Question 31


The point where the plane x + 3y + 2z − 6 = 0 meets the line joining P (2, 1, 1) and Q (1, 3, − 2) is,

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ISRO Scientist or Engineer Mechanical May 2017 - Question 32


$$\int_{0}^{\frac{\pi}{2}}\sin^{7}x dx $$ is

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ISRO Scientist or Engineer Mechanical May 2017 - Question 33


Laplace transform of $$t \cos (at)$$ is

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ISRO Scientist or Engineer Mechanical May 2017 - Question 34


If two vectors $$\overrightarrow{a} = 3i + 4j - 7k$$ and $$\overrightarrow{b} = Pi - 6j + 3k$$ are perpendicular, the value of $$P$$ is

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ISRO Scientist or Engineer Mechanical May 2017 - Question 35


The arithmetic mean of 12 data point is 79. Later it was found that two data points were wrongly taken as 83 and 68 in place of 78 and 97. The actual mean is

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ISRO Scientist or Engineer Mechanical May 2017 - Question 36


How does cetane number varies with octane number in fuels in IC engines?

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ISRO Scientist or Engineer Mechanical May 2017 - Question 37


The relationship of the shear angle $$\phi = \frac{\pi}{4} - \beta + \frac{\alpha}{2}$$ is as per ('$$\alpha$$' is rake angle and '$$\beta$$' is friction angle)

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ISRO Scientist or Engineer Mechanical May 2017 - Question 38


For a plate with an elliptical hole subjected to tensile stress, $$\sigma$$ as shown in the figure, the maximum tensile stress at point P is

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ISRO Scientist or Engineer Mechanical May 2017 - Question 39


A centrifugal compressor is suitable for which of the following?

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ISRO Scientist or Engineer Mechanical May 2017 - Question 40


The optimum cutting speed for maximum production is (‘n’ is tool constant and ‘Tc ’ is time required to change the tool)

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