Time Period

Q.

A particle of mass 1 kg is placed at a distance of 4 m from the centre and on the axis of a uniform ring of mass 5 kg and radius 3m. What is the work required to be done to increase the distance of the particle from 4m to 3$\sqrt{3m}$

1. G/3

2. G/2

3. G/6

4. G

Q. 43. The distance between consecutive crest and trough of a wave is 10cm. If the speed of wave is 200cm/a. Then the time period of wave is 1. 0.01 s 2. 0.2 s 3. 0.02 s 4. 0.1 s

Q. What is the dimensional formula for FREQUENCY ?

Q. Two simple pendulums whose lengths are $100\text{cm}$ and $121\text{cm}$ are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will the two be in phase again.

1. $20$
2. $21$
3. $11$
4. $10$

Q. If a particle starting from mean position is in SHM with tine period T, then time taken by the particle to complete 3/8 oscillation is 1] 3T/8 2] 5T/8 3] T/12 4] T/6

Q. short distance travelled by particle exclusive SHM from the mean position in 2 second is equal to root 3 by 2 time its amplitude determine the time period

Q. which of thecfollowing functionnof time represents (a) SHM and (b) periodic but not simple harmonic Give the period for eachcase.(1) sinwt-cos wt)(2) sin^2 t explain with math

Q.

A frequency of 1Hz corresponds to:

1. 2 vibrations per second

2. a time period of ½ second

3. 10 vibrations per second

4. 1 vibration per second

Q. Two particles $A$ and $B$ are moving in a uniform circular motion in concentric circles of radius $r_A$ and $r_B$ with speed $v_A$ and $v_B$ respectively. The time period of rotation is the same. The ratio of angular speed of A to that of B will be

1. $r_A:r_B$
2. $v_A:v_B$
3. $r_B:r_A$
4. $1:1$

Q. An athlete completes one round of a circular track of radius 10 m in 40 sec. The distance covered by him in 2 min 20 sec is

1. 70 m
2. 140 m
3. 110 m
4. 220 m

Q.

Two racing cars of masses $m_1$ and $m_2$ are moving in circles of radii $r_1$ and $r_2$ respectively. Their speeds are such that each makes a complete circle in the same duration of time t. The ratio of the angular speed of the first to the second car is

1. 

2. 

3. 

4. 

Q.

An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Compare its centripetal acceleration with the acceleration due to gravity.

Q.

what is the dimension of frequency

Q. Find the time period of meeting of the minute hand and second hand of a clock. (Initial positions are shown in the figure below)

1. $\frac{59}{60}\text{min}$
2. $\frac{60}{59}\text{min}$
3. $\frac{3}{4}\text{min}$
4. $\frac{3}{8}\text{min}$

Q. A string of linear mass density 0⋅5 g cm⁻¹ and a total length 30 cm is tied to a fixed wall at one end and to a frictionless ring at the other end (figure 15-E4). The ring can move on a vertical rod. A wave pulse is produced on the string which moves towards the ring at a speed of 20 cm s⁻¹. The pulse is symmetric about its maximum which is located at a distance of 20 cm from the end joined to the ring. (a) Assuming that the wave is reflected from the ends without loss of energy, find the time taken by the string to region its shape. (b) The shape of the string changes periodically with time. Find this time period. (c) What is the tension in the string?

Q. Calculate the velocity of waves having wavelength 0.1 m propagated with 1 kHz.

1. 1 m/s
2. 10 m/s
3. 100 m/s
4. 1000 m/s

Q. The distance moved by a particle in simple harmonic motion in one time period is
(a) A
(b) 2A
(c) 4A
(d) zero

Q. A string of length 40 cm and weighing 10 g is attached to a spring at one end and to a fixed wall at the other end. The spring has a spring constant of 160 N m⁻¹ and is stretched by 1⋅0 cm. If a wave pulse is produced on the string near the wall, how much time will it take to reach the spring?

Q. Wave motion is doubly periodic? explain

Q. For the given U-tube, if water inside one of the arms is displaced slightly down, then the resulting oscillation has a time period of

1. $0.25\text{s}$
2. $3.25\text{s}$
3. $2.25\text{s}$
4. $1.25\text{s}$

Q. Two simple pendulums whose lengths are $100\text{cm}$ and $121\text{cm}$ are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will the two be in phase again.

Q. A toy car travels in a horizontal circle of radius $2a$. It is kept on the track by a radial elastic string of unstretched length $a$. The period of rotation of the toy car is $T_0$. Now, the toy car is speeded up until it is moving in a circle of radius $3a$. Assuming that the string obeys Hooke's law, find the new period $T$ in terms of $T_0$.

1. $T=T_0$
2. $T=\frac{\sqrt{3}}{2}{T}_0$
3. $T=\frac{2T_0}{\sqrt{3}}$
4. $T=\frac{3}{4}{T}_0$