# Mechanical Engineering - GATE 2011 Paper Solution

Question No. 1

A streamline and an equipotential line in a flow field

Question No. 2

If a mass of moist air in an airtight vessel is heated to a higher temperature, then

Question No. 3

In a condenser of a power plant, the steam condenses at a temperature of 60oC. The cooling water enters at  30°C and leaves at  45°C. The logarithmic mean temperature difference (LMTD) of the condenser is

Question No. 4

A simply supported beam PQ is loaded by a moment of 1 kN-m at the mid-span of the beam as shown in the figure. The reaction forces RP and RQ at supports P and Q respectively are

Question No. 5

A double – parallelogram mechanism is shown in the figure. Note that PQ is a single link. The mobility of the mechanism is

Question No. 6

The maximum possible draft in cold rolling of sheet increases with the

Question No. 7

The operation in which oil is permeated into the pores of a powder metallurgy product is known as

Question No. 8

A hole is dimension $\phi\mathit9^{\begin{array}{c}+0.015\\+0\;\;\;\;\;\;\;\end{array}}$ mm. The corresponding shaft is of dimension $\phi\mathit9^{\begin{array}{c}+0.010\\+0.001\end{array}}$ mm. The resulting assembly has

Question No. 9

Heat and work are

Question No. 10

A column has a rectangular cross-section of 10mm x 20mm and a length of 1m. The slenderness ratio of the column is close to

Question No. 11

A series expansion for the function sin θ is

Question No. 12

Green sand mould indicates that

Question No. 13

What is $\underset{\theta \to 0}{\mathrm{lim}}\frac{\mathrm{sin}\theta }{\theta }$ equal to?

Question No. 14

Eigenvalues of a real symmetric matrix are always

Question No. 15

A pipe of 25 mm outer diameter carries steam. The heat transfer coefficient between the cylinder and surroundings is 5 W/m2 K. 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?

Question No. 16

The contents of a well-insulated tank are heated by a resistor of 23 Ω in which 10 A current is flowing. Consider the tank along with its contents as a thermodynamic system. The work done by the system and the heat transfer to the system are positive. The rates of heat (Q), work (W) and change in internal energy (ΔU) during the process in kW are

Question No. 17

Match the following criteria of material failure, under biaxial stresses ${\sigma }_{1}$ and ${\sigma }_{2}$ and yield stress ${\sigma }_{y}$, with their corresponding graphic representations :

Question No. 18

The product of two complex numbers 1 + i and 2 - 5i is