1. | \(140 \text{ cm} / \text{s}^2 \) | 2. | \(160 \text{ m} / \text{s}^2 \) |
3. | \(140 \text{ m} / \text{s}^2 \) | 4. | \(14 \text{ m} / \text{s}^2\) |
The figure given below shows the graphs for amplitudes of forced oscillations in resonance conditions for different damping conditions.
One of the conclusions that can be drawn from the graph above is:
1. As damping increases, amplitude increases
2. As damping increases, the amplitude decreases
3. As damping increases, the amplitude does not change
4. As damping increases, the amplitude may increase or decrease
The potential energy of a simple harmonic oscillator, when the particle is halfway to its endpoint, will be:
1. \(\frac{2E}{3}\)
2. \(\frac{E}{8}\)
3. \(\frac{E}{4}\)
4. \(\frac{E}{2}\)
In case of a forced vibration, the resonance wave becomes very sharp when the:
1. Damping force is small
2. Restoring force is small
3. Applied periodic force is small
4. Quality factor is small
A particle of mass \(m\) oscillates with simple harmonic motion between points \(x_1\) and \(x_2\), the equilibrium position being \(O\). Its potential energy is plotted. It will be as given below in the graph:
1. | 2. | ||
3. | 4. |
The time period of a mass suspended from a spring is \(T\). If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be:
1. \(\frac{T}{4}\)
2. \(T\)
3. \(\frac{T}{2}\)
4. \(2T\)
When an oscillator completes 100 oscillations, its amplitude is reduced to of the initial value. What will be its amplitude, when it completes 200 oscillations?
1.
2.
3.
4.
When a mass is suspended separately by two different springs, in successive order, then the time period of oscillations is \(t _1\) and \(t_2\) respectively. If it is connected by both springs as shown in the figure below, then the time period of oscillation becomes \(t_0.\) The correct relation between \(t_0,\) \(t_1\) & \(t_2\) is:
1.
2.
3.
4.
The frequency of a simple pendulum in a free-falling lift will be:
1. zero
2. infinite
3. can't say
4. finite