AIEEE 2003 | Simple Harmonic Motion Question 151 | Physics

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

$$\sqrt {{{{k_1}} \over {{k_2}}}} $$

$${{{{k_2}} \over {{k_1}}}}$$

$$\sqrt {{{{k_2}} \over {{k_1}}}} $$

$${{{{k_1}} \over {{k_2}}}}$$

AIEEE 2003

MCQ (Single Correct Answer)

-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

$$11\% $$

$$21\% $$

$$42\% $$

$$10\% $$

AIEEE 2003

MCQ (Single Correct Answer)

-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 ?

$$K.E$$ is maximum when $$x=0$$

$$T.E$$ is zero when $$x=0$$

$$K.E$$ is maximum when $$x$$ is maximum

$$P.E$$ is maximum when $$x=0$$

AIEEE 2003

MCQ (Single Correct Answer)

-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

$$-4$$

$$4$$

$$4\sqrt 2 $$

$$8$$

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