Mechanical Engineering Gate 2020 Set-2 Questions with Answer

Ques 14 Gate 2020 Set-2

A bolt head has to be made at the end of a rod of diameter d = 12 mm by localized forging (upsetting) operation. The length of the unsupported portion of the rod is 40 mm. To avoid buckling of the rod, a closed forging operation has to be performed with a maximum die diameter of ________ mm

Ques 15 Gate 2020 Set-2

Which one of the following statements about a phase diagram is INCORRECT?

Ques 16 Gate 2020 Set-2

The sum of two normally distributed random variables X and Y is

Ques 17 Gate 2020 Set-2

Let I be a 100 dimensional identity matrix and E be the set of its distinct (no value appears more than once in E) real eigenvalues. The number of elements in E is ______.

Ques 18 Gate 2020 Set-2

A fair coin is tossed 20 times. The probability that 'head' will appear exactly 4 times in the first ten tosses, and ‘tail’ will appear exactly 4 times in the next ten tosses is ______ (round off to 3 decimal places).

Ques 19 Gate 2020 Set-2

The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is

Ques 20 Gate 2020 Set-2

If a reversed Carnot cycle operates between the temperature limits of 27°C and –3°C, then the ratio of the COP of a refrigerator to that of a heat pump (COP of refrigerator/ COP of heat pump) based on the cycle is __________ (round off to 2 decimal places).

Ques 21 Gate 2020 Set-2

A hollow spherical ball of radius 20 cm floats in still water, with half of its volume submerged. Taking the density of water as 1000 kg/m³, and the acceleration due to gravity as 10 m/s², the natural frequency of small oscillations of the ball, normal to the water surface is _________ radians/s (roundoff to 2 decimal places).