1
GATE ME 2015 Set 1
+2
-0.6
Considering massless rigid rod and small oscillations, the natural frequency (in rad/s) of vibration of the system shown in the figure is
A
$$\sqrt {{{400} \over 1}}$$
B
$$\sqrt {{{400} \over 2}}$$
C
$$\sqrt {{{400} \over 3}}$$
D
$$\sqrt {{{400} \over 4}}$$
2
GATE ME 2015 Set 1
+1
-0.3
For an ideal gas with constant values of specific heats, for calculation of the specific enthalpy,
A
it is sufficient to know only the temperature
B
both temperature and pressure are required to be known
C
both temperature and volume are required to be known
D
both temperature and mass are required to be known
3
GATE ME 2015 Set 1
Numerical
+2
-0
Temperature of nitrogen in a vessel of volume $$2{m^3}$$ is $$288$$ $$K.$$ $$A$$ $$U$$-tube manometer connected to the vessel shows a reading of $$70$$ $$cm$$ of mercury (level higher in the end open to atmosphere). The universal gas constant is $$8314$$ $$J/kmol$$-$$K,$$ atmospheric pressure is $$1.01325$$ bar, acceleration due to gravity is $$9.81$$ $$m/{s^2}$$ and density of mercury is $$13600$$ $$kg/{m^3}.$$ The mass of nitrogen (in $$kg$$) in the vessel is _________
4
GATE ME 2015 Set 1
Numerical
+2
-0
A well insulated rigid container of volume $$1{m^3}$$ contains $$1.0$$ $$kg$$ of an ideal gas $$\left[ {{C_p} =1000\,\,\,J/\left( {kg.K} \right)} \right.$$ and $$\left. {{C_v} = 800J/\left( {kg.K} \right)} \right]$$ at a pressure of $${10^5}\,\,Pa.$$ A stirrer is rotated at constant $$rpm$$ in the container for $$1000$$ rotations and the applied torque is $$100$$ $$N$$-$$m.$$ The final temperature of the gas (in $$K$$) is _______________.