| Two particles execute simple harmonic motions of equal amplitude and time period along parallel horizontal lines in a vertical plane with their equilibrium positions one above the other. If they cross each other when they are midway between their corresponding extreme and equilibrium positions, the phase difference between the oscillations is |
| A) 120° | B) 90° | C) 106° | D) 180° |
| Two particles execute simple harmonic motions of equal amplitude A and time period along parallel horizontal lines in a vertical plane with their equilibrium positions one above the other. If they cross each other when they are 3A/5 from their equilibrium positions, the phase difference between the oscillations is |
| A) 74° | B) 90° | C) 106° | D) 180° |
| Ratio of times taken to cover equal distances in moving from extreme position to equilibrium position is |
| A) 2 | B) 1 | C) 1/2 | D) None |
| Ratio of distances covered in two equal intervals of time as a particle executing simple harmonic motion moves from extreme to equilibrium positions is nearly |
| A) 3/5 | B) 3/7 | C) 7/3 | D) 5/3 |
| Ratio of distances covered in three equal intervals of time as a particle executing simple harmonic motion moves from one extreme to another extreme position is |
| A) 1:1:1 | B) 1:2:1 | C) 2:1:2 | D) None |
| A particle executing SHM is at an extreme position. When it reaches a point midway between equilibrium and extreme positions on the other side of the equilibrium, its velocity is abruptly reversed. Time taken by the particle to return to the initial position is (from the moment of reversal) |
| A) T/3 | B) T/4 | C) T/12 | D) T/6 |
| A particle executing SHM with time period T is at an extreme position. When it reaches the equilibrium position, its velocity gets abruptly reversed and doubled due to an impulsive blow. Time taken by the particle to return to the initial position is (from the moment of reversal) |
| A) T/4 | B) T/8 | C) T/12 | D) T/6 |
| A particle is executing SHM with time period of 8 s and amplitude A. Time taken by it to move from a position 4A/5 from equilibrium on side of the equilibrium to a position 3A/5 from the equilibrium on the other side of equilibrium is |
| A) 2 s | B) 1 s | C) 3 s | D) 4 s |
| A particle is executing SHM with time period of 9 s and amplitude A. Time taken by it to move from a position 4A/5 from equilibrium on side of the equilibrium to a position 3A/5 from the equilibrium on the same side of equilibrium is |
| A) 0.2 s | B) 0.4 s | C) 0.1 s | D) 0.3 s |
| A particle executing simple harmonic motion of frequency 2 Hz is half way between extreme and equilibrium positions on the positive side of the equilibrium and has a velocity of √3π cms-1 towards the extreme position. Equation of its motion can be written as |
| A) 0.5 cos (2πt-60°) | B) 0.5 cos (4πt-60°) |
| C) 0.25 cos (2πt-60°) | D) 0.25 cos (4πt-60°) |