Two equations of S.H.M. are and . The phase difference between the two is:
1. \(0^\circ\)
2. \(\alpha^\circ\)
3. \(90^\circ\)
4. \(180^\circ\)
A ring of radius R is hung by a nail on its periphery such that it can freely rotate in its vertical plane. The time period of the ring for small oscillations is:
1.
2.
3.
4.
If the potential energy U (in J) of a body executing SHM is given by U = 20 + 10 (100t), then the minimum potential energy of the body will be:
1. | Zero | 2. | 30 J |
3. | 20 J | 4. | 40 J |
The equation of S.H.M. is given as x = Asin(0.02), where t is in seconds. With what time period the potential energy oscillates?
1. 200 s
2. 100 s
3. 50 s
4. 10 s
In a stationary lift, a spring-block system oscillates with a frequency \(f.\) When the lift accelerates, the frequency becomes \(f'\) . Then:
1. | \(f'>f\) |
2. | \(f'<f\) |
3. | \(f'=f\) |
4. | any of the above depending on the value of the acceleration of the lift. |
The kinetic energy (K) of a simple harmonic oscillator varies with displacement (x) as shown. The period of the oscillation will be: (mass of oscillator is 1 kg)
1. | sec | 2. | sec |
3. | sec | 4. | 1 sec |
The equation of an SHM is given as y=3sinωt + 4cosωt where y is in centimeters. The amplitude of the SHM will be?
1. | 3 cm | 2. | 3.5 cm |
3. | 4 cm | 4. | 5 cm |
The equation of a SHM is given as , where \(\mathrm t\) is in seconds and \(\mathrm x\) in meters. During a complete cycle, the average speed of the oscillator is:
1. zero
2. \(10\) m/s
3. \(20\) m/s
4. \(40\) m/s
The equation of a simple harmonic oscillator is given as , where t is in seconds. The frequency with which kinetic energy oscillates is
1. 5 Hz
2. 10 Hz
3. 20 Hz
4. 40 Hz
What is the period of oscillation of the block shown in the figure?
1. \(2\pi \sqrt{\frac{M}{k}}\)
2. \(2\pi \sqrt{\frac{4M}{k}}\)
3. \(\pi \sqrt{\frac{M}{k}}\)
4. \(2\pi \sqrt{\frac{M}{2k}}\)