AIEEE 2005 | Simple Harmonic Motion Question 154 | Physics

The bob of a simple pendulum executes simple harmonic motion in water with a period $$t,$$ while the period of oscillation of the bob is $${t_0}$$ in air. Neglecting frictional force of water and given that the density of the bob is $$\left( {4/3} \right) \times 1000\,\,kg/{m^3}.$$ What relationship between $$t$$ and $${t_0}$$ is true

$$t = 2{t_0}$$

$$t = {t_0}/2$$

$$t = {t_0}$$

$$t = 4{t_0}$$

AIEEE 2004

MCQ (Single Correct Answer)

-1

A particle at the end of a spring executes $$S.H.M$$ with a period $${t_1}$$. While the corresponding period for another spring is $${t_2}$$. If the period of oscillation with the two springs in series is $$T$$ then

$${T^{ - 1}} = t_1^{ - 1} + t_2^{ - 1}$$

$${T^2} = t_1^2 + t_2^2$$

$$T = {t_1} + {t_2}$$

$${T^{ - 2}} = t_1^{ - 2} + t_2^{ - 2}$$

AIEEE 2004

MCQ (Single Correct Answer)

-1

The total energy of particle, executing simple harmonic motion is

independent of $$x$$

$$ \propto \,{x^2}$$

$$ \propto \,x$$

$$ \propto \,{x^{1/2}}$$