1
GATE ME 1999
MCQ (Single Correct Answer)
+1
-0.3
The equation $$\,\,\,{{{d^2}u} \over {d{x^2}}} + \left( {{x^2} + 4x} \right){{dy} \over {dx}} + y = {x^8} - 8\,\,{u \over {{x^2}}} = 8.\,\,\,$$ is a
A
partial differential equation
B
non-linear differential equation
C
non-homogeneous differential equation
D
ordinary differential equation
2
GATE ME 1999
MCQ (Single Correct Answer)
+1
-0.3
Laplace transform of $${\left( {a + bt} \right)^2}$$ where $$'a'$$ and $$'b'$$ are constants is given by:
A
$${\left( {a + bs} \right)^2}$$
B
$$1/{\left( {a + bs} \right)^2}$$
C
$$\left( {{a^2}/s} \right) + \left( {2ab/{s^2}} \right) + \left( {2{b^2}/{s^3}} \right)$$
D
$$\left( {{a^2}/s} \right) + \left( {2ab/{s^2}} \right) + \left( {{b^2}/{s^3}} \right)$$
3
GATE ME 1999
MCQ (Single Correct Answer)
+2
-0.6
A shown in Figure, a person A is standing at he centre of a rotating platform facing person B who is riding a bicycle, heading East. The relevant speeds and distances are shown in given figure person, a bicycle, heading East. At the instant under consideration, what is the apparent velocity of B as seen by A? GATE ME 1999 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 45 English
A
3 m/s heading East
B
3 m/s heading West
C
8 m/s heading East
D
13 m/s heading East
4
GATE ME 1999
MCQ (Single Correct Answer)
+1
-0.3
If $$'P'$$ is the gauge pressure within a spherical droplet, then gauge pressure within a bubble of the same fluid and of same size will be:
A
$${P \over 4}$$
B
$${P \over 2}$$
C
$$P$$
D
$$2P$$
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