ISRO Scientist or Engineer Mechanical 2018

Instructions

For the following questions answer them individually

Question 21

In a machining operation cutting speed is reduced by 50%. Assuming n = 0.5, C = 300 in Taylor's equation. The increase in tool life is

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Question 22

In a linear arc welding process, the heat input per unit length is inversely proportional to

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Question 23

The welding process which uses a blanket of fusible granular flux is

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Question 24

Two non-zero vectors are parallel if their vector productis

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Question 25

If eigen value of a matrix A is $$\lambda$$, then the eigen value of A2 is

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Question 26

The value of $$\lim_{x \rightarrow \infty}\frac{\sin x}{x}$$ is equal to

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Question 27

If $$f(x) = \frac{1 - x}{1 + x}$$ then $$f \left(\frac{1}{x}\right)$$ is equal to

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Question 28

Inverse Laplace transform of $$\frac{S}{S^2 + a^2}$$ is

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Question 29

One dimensional wave equation is

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Question 30

A composite bar made of Aluminium and Steel is fixed rigidly at supports P and Q as shown in figure. When the temperature of the bar is increased by $$10^\circ C$$, the reactions at the supports are (given $$E_{al} = 70 GPa, E_s = 210 GPa, \alpha_{al} = 11E - 6$$ mm/mm$$^\circ C$$ and $$\alpha_s = 12E - 6 mm/mm^\circ C$$)

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