1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
The displacement of particle varies according to the relation
$$x=4$$$$\left( {\cos \,\pi t + \sin \,\pi t} \right).$$ The amplitude of the particle is
A
$$-4$$
B
$$4$$
C
$$4\sqrt 2 $$
D
$$8$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
The length of a simple pendulum executing simple harmonic motion is increased by $$21\% $$. The percentage increase in the time period of the pendulum of increased length is
A
$$11\% $$
B
$$21\% $$
C
$$42\% $$
D
$$10\% $$
3
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
A body executes simple harmonic motion. The potential energy $$(P.E),$$ the kinetic energy $$(K.E)$$ and total energy $$(T.E)$$ are measured as a function of displacement $$x.$$ Which of the following statements is true ?
A
$$K.E$$ is maximum when $$x=0$$
B
$$T.E$$ is zero when $$x=0$$
C
$$K.E$$ is maximum when $$x$$ is maximum
D
$$P.E$$ is maximum when $$x=0$$
4
AIEEE 2002
MCQ (Single Correct Answer)
+4
-1
If a spring has time period $$T,$$ and is cut into $$n$$ equal parts, then the time period of each part will be
A
$$T\sqrt n $$
B
$$T/\sqrt n $$
C
$$nT$$
D
$$T$$
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