1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
A mass $$M$$ is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes $$SHM$$ of time period $$T.$$ If the mass is increased by $$m.$$ the time period becomes $${{5T} \over 3}$$. Then the ratio of $${{m} \over M}$$ is
A
$${3 \over 5}$$
B
$${25 \over 9}$$
C
$${16 \over 9}$$
D
$${5 \over 3}$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Two particles $$A$$ and $$B$$ of equal masses are suspended from two massless springs of spring of spring constant $${k_1}$$ and $${k_2}$$, respectively. If the maximum velocities, during oscillation, are equal, the ratio of amplitude of $$A$$ and $$B$$ is
A
$$\sqrt {{{{k_1}} \over {{k_2}}}}$$
B
$${{{{k_2}} \over {{k_1}}}}$$
C
$$\sqrt {{{{k_2}} \over {{k_1}}}}$$
D
$${{{{k_1}} \over {{k_2}}}}$$
3
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
$$8$$
4
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
$$10\%$$
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