Damped Oscillations

Q. In case of damped oscillation the frequency of oscillation is

1. greater than natural frequency
2. less than natural frequency
3. equal to natural frequency
4. both $\left(a\right)$ and $\left(b\right)$

Q.

Under forced oscillation, what happens to the phase of the harmonic motion of the particle?

Q.

What is an oscillation in physics?

Q. In case of damped oscillation the frequency of oscillation is

1. greater than natural frequency
2. less than natural frequency
3. equal to natural frequency
4. both $\left(a\right)$ and $\left(b\right)$

Q. Two pendulums of time periods $3\text{s}$ and $7\text{s}$ respectively start oscillating simultaneously from two opposite extreme positions. After how much time they will be in same phase?

1. $\frac{21}{10}\text{s}$
2. $\frac{21}{8}\text{s}$
3. $\frac{21}{4}\text{s}$
4. $\frac{21}{2}\text{s}$

Q. In damped oscillations, damping force is directly proportional to the speed of the oscillator. If amplitude becomes half of its initial value in $1\text{s}$, then after $2\text{s}$, amplitude will be:
[$A_0$ is initial amplitude]

1. $\frac{1}{4}{A}_0$
2. $\frac{1}{2}{A}_0$
3. $A_0$
4. $\frac{\sqrt{3}{A}_0}{2}$

Q. The amplitude of a damped oscillator becomes one-fourth in one minute. The amplitude after 16 minutes will be ${\frac{1}{x}}^{th}$ of its original amplitude. Find the value of $x.$

1. $2^4$
2. $2$
3. $2^{16}$
4. $2^{32}$

Q. Two pendulums of time periods $3\text{s}$ and $7\text{s}$ respectively start oscillating simultaneously from two opposite extreme positions. After how much time they will be in same phase?

1. $\frac{21}{10}\text{s}$
2. $\frac{21}{4}\text{s}$
3. $\frac{21}{2}\text{s}$
4. $\frac{21}{8}\text{s}$

Q.

For the damped oscillator shown, the mass m of the block is 200 g, k = 90 N m${}^{-1}$ and the damping constant b is 40 g s${}^{-1}$. What is the period of oscillation, time taken for its amplitude of vibrations to drop to half of its initial value.

1. 1s, 6.93s
2. 0.3s, 6.93s
3. 0.6s, 6.93s
4. 0.3s, 3s

Q. In damped oscillations, if the amplitude becomes half of its maximum value in $1\text{s}$, then after $2\text{s}$ amplitude will be
($A_o$ is initial amplitude)

1. $\frac{A_o}{4}$
2. $\frac{A_o}{2}$
3. $A_o$
4. $\frac{\sqrt{3}{A}_o}{2}$

Q. Which of the following figures represents damped harmonic motion?

1. 
2. 
3. 
4. 

Q. The amplitude of a damped oscillation becomes half in $1\text{minute}$. If the amplitude after $4\text{minute}$ will be $\frac{1}{y}$ times of the original, find the value of $y$.

1. $4$
2. $8$
3. $16$
4. $32$