1
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
The equation of motion of a harmonic oscillator is given by $${{{d^2}x} \over {d{t^2}}} + 2\xi {\omega _n}{{dx} \over {dt}} + \omega _n^2\,x = 0\,\,\,$$ and the initial conditions at $$t=0$$ are $$\,x\left( 0 \right) = X,{{dx} \over {dt}}\left( 0 \right) = 0.\,\,$$
The amplitude of $$x(t)$$ after $$n$$ complete cycles is
A
$$X{e^{ - 2n\pi \left( {{\xi \over {\sqrt {1 - {\xi ^2}} }}} \right)}}$$
B
$$X{e^{2n\pi \left( {{\xi \over {\sqrt {1 - {\xi ^2}} }}} \right)}}$$
C
$$X{e^{ - 2n\pi \left( {{{\sqrt {1 - {\xi ^2}} } \over \xi }} \right)}}$$
D
$$X$$
2
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
The natural frequency of the system shown below is GATE ME 2007 Theory of Machines - Vibrations Question 10 English
A
$$\sqrt {{{k} \over 2m}} $$
B
$$\sqrt {{{k} \over m}} $$
C
$$\sqrt {{{2k} \over m}} $$
D
$$\sqrt {{{3k} \over m}} $$
3
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
Water has a critical specific volume of $$0.003155$$ $${m^3}/kg.$$ A closed and rigid steel tank of volume $$0.025{m^3}$$ contains a mixture of water and steam at $$0.1MPa.$$ The mass of the mixture is $$10$$ $$kg.$$ The tank is now slowly heated. The liquid level inside the tank.
A
will rise
B
will fall
C
will remain same.
D
may rise or fall depending on the amount of heat transferred
4
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
A heat transformer is a device that transfers a part of the heat, supplied to it at an intermediate temperature, to a high temperature reservoir while rejecting the remaining part to a low temperature heat sink. In such a heat transformer, $$100kJ$$ of heat is supplied at $$350$$ $$K.$$ The maximum amount of heat in $$kJ$$ that can be transferred to $$400K,$$ when the rest is rejected to a heat sink at $$300K$$ is
A
$$12.50$$
B
$$14.29$$
C
$$33.33$$
D
$$57.14$$
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12