Aerospace Engineering Gate 2011 Questions with Answer

Ques 40 GATE 2011

Four archers P, Q, R and S try to hit a bull's eye during a tournament consisting of seven rounds.
As illustrated in the figure below, a player receives 10 points for hitting the bulls' eye, 5 points for
hitting within the inner circle and 1 point for hitting within the outer circle.
The final scores received by the players during the tournament are listed in the table below.

Ques 41 GATE 2011

Nimbus clouds are dark and ragged, stratus clouds appear dull in colour and cover the entire
sky. Cirrus clouds are thin and delicate, whereas cumulus clouds look like cotton balls.
It can be inferred from the passage that

Ques 42 GATE 2011

A main objective of by-pass in a turbo-fan engine is to increase

Ques 43 GATE 2011

The pressure ratio in any one stage of a jet engine compressor is limited by

Ques 44 GATE 2011

Thermodynamic cycle on which the jet engine operates can be

Ques 45 GATE 2011

Propulsion efficiency of a jet engine is

Ques 46 GATE 2011

A turbojet powered aircraft is flying at Mach number 0.8 at an altitude of 10 km. The inlet and exit
areas of the engine are 0.7 m² and 0.4 m² respectively. The exhaust gases have velocity of 500 m/s
and pressure of 60 kPa. The free stream pressure, density and speed of sound are 26.5 kPa, 0.413
kg/m³ and 299.5 m/s respectively. The thrust of the engine (in kN) is

Ques 47 GATE 2011

A jet engine is operating at a Mach number of 0.8 at an altitude of 10 km. The efficiency of the air
intake is 0.8 and that of the compressor is 0.87. The total temperatures (in K) at the exits of the air
intake and the compressor respectively are
(Ambient pressure =26.5 kPa; Ambient temperature =223.3 K; Gas constant, γ=1.4 p_rc=8)

Ques 48 GATE 2011

An elliptic orbit has its perigee at 400 km above the Earth's surface and apogee at 3400 km above
the Earth's surface. For this orbit, the eccentricity and semi-major axis respectively are (assume
radius of Earth = 6400 km)

Ques 49 GATE 2011

An impulsive launch of a rocket minimizes the loss of burn-out velocity due to

Ques 50 GATE 2011

Multi-staging in rockets improves the burn-out performance by increasing mainly stage-wise

Ques 51 GATE 2011

A rocket engine is tested on a test bed under the ideal condition of fully expanded jet. The exhaust
velocity is 2 km/s through a nozzle of area 2.5 m² The mass flow rate is 200 kg/s. The specific
impulse of the propellant and the thrust developed respectively are (assume g=9.81 m/s²)

Ques 52 GATE 2011

In three-dimensional linear elastic solids, the number of non-trivial stress-strain relations, strain-
displacement equations and equations of equilibrium are, respectively,