Periodic Motion

Q. The period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination a, is given by

1. 
2. 
3. 
4. 

Q. A cylindrical tube, open at both ends, has a fundamental frequency $f_o$in air. The tube is dipped vertically into water such that half of its length is inside water. The fundamental frequency of the air column now is

1. 2f_o
2. 3f_o/4
3. f_o
4. f_o/2

Q. To reduce the resonant frequency in an LCR series circuit with a generator.

1. the generator frequency should be reduced.
2. dielectric in the capacitor should be removed.
3. the iron core of the inductor should be removed.
4. another capacitor should be added in parallel to the first.

Q. What is meant by resolution of a vector?

Q.

Give three examples of periodic motion.

Q. The displacement of simple harmonic oscillator after $3$ seconds starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is :

Q.

A stretched string is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respectively:

1. 3 and 4

2. 4 and 3

3. 2 and 3

4. 3 and 2

Q. A stone tied to the end of a string 80 𝑐𝑚 long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolutions in 25 s, what is the magnitude and direction of acceleration of the stone?

Q. The mass and diameter of a planet are twice those of earth. The period of oscillation of pendulum on this planet will be (If it is a second's pendulum on earth)

1. 
2. 
3. 
4. 

Q. A particle is executing simple harmonic motion with a time period $T$. At time $t=0$, it is at its position of equilibrium. The kinetic energy-time graph of the particle will look like

1. 
2. 
3. 
4. 

Q. The displacement of a particle is represented by the equation $y={\sin }^3\omega t$. The motion is

1. non-periodic
2. periodic but not simple harmonic
3. simple harmonic with period $\pi /\omega$
4. simple harmonic with period $2\pi /\omega$

Q. A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now

1. $\frac{f}{2}$
2. $\frac{3f}{4}$
3. $2f$
4. $f$

Q.

A monkey is climbing on a rope that goes over a smooth light pulley and supports a block of equal mass at thr other end Figure. Shoe that whatever force the monkey exerts on the rope, the monkey and the block move in the same direction with equal acceleration. If initially both were at rest, their separation will not change as time passes.

Q.

A body is traveling at a constant speed in a circle. It has

1. constant velocity

2. it is not accelerated

3. an inward radial acceleration

4. an outward radial acceleration

Q.

A particle executes SHM in a line 4 cm long. Its velocity when passing through the centre of line is 12 cm/s. The period will be

1. 1.047 s

2. 3.047 s

3. 0.047 s

4. 2.047 s

Q.

What is a restoring force ?

Q. If the rms current in a $50HzAC$ circuit is $5A$, the value of current $1/300$ seconds after its value becomes zero is

1. $5/6A$
2. $5/\sqrt{2}A$
3. $5\sqrt{3/2}A$
4. $5\sqrt{2}A$

Q.

Define damped vibrations.

Q.

Figure shows a system consisting of a massless pulley, a spring of force constant k and a block of mass m. If the block is slightly displaced vertically down from its equilibrium position and released, find the period of its vertical oscillation.

1. 

2. $T=2\pi \sqrt{\frac{3m}{k}}$

3. $T=2\pi \sqrt{\frac{2m}{k}}$

4. $T=2\pi \sqrt{\frac{m}{k}}$

Q.

The motion of a particle varies with time as y=a(sinωt+cosωt), then

1. the motion is S.H.M. with amplitude 2$a$
2. the motion is oscillatory but not S.H.M.
3. the motion is S.H.M. with amplitude '$a$'
4. the motion is S.H.M. with amplitude $\sqrt{2}a$

Q.

A ball is dropped from height $h$ on a horizontal floor. If it loses $60\%$ of its energy on hitting the floor, find the height to which it will rise.

Q.

Is uniform circular motion an example of accelerated motion? Explain.

Q.

What is Hertz in physics?

Q.

A rectangular plate of sides a and b is suspended from a ceiling by two parallel strings of length L each (figure 12-E11). The separation between the strings is d. The plate is displaced slightly in its plane keeping the strings tight. Show that it will execute simple harmonic motion. Find the time period.

Q.

All the surfaces shown in figure (12-E15) are frictionless. The mass of the car is M, that of the block is m and the spring has spring constant k. Initially, the car and the block are at rest and the spring is stretched through a length $x_0$ when the system is released. (a) Find the amplitudes of the simple harmonic motion of the block and of the car as seen from the road. (b) Find the time period (s) of the two simple harmonic motions.

Q. As temperature increases, difference between apparent Doppler frequency and actual frequency will a) decrease b) remains unchanged c) increases d) depending on frequency, increase or decrease

Q. Define Periodic motion.

Q. The period of oscillations of a magnetic needle in a magnetic field is 1.0 sec. If the length of the needle is halved by cutting it, the time perioid will be

1. 2.0 sec
2. 0.25 sec
3. 0.5 sec
4. 1.0 sec

Q. A metal sphere of radius r and specific heat c is rotated about an axis passing through its centre at a speed of n rotations per second. It is suddenly stopped and 50% of its energy is used in increasing its temperature. Then the rise in temperature of the sphere is

1. 
2. 
3. 
4. 

Q. A particle is moving in a circle with uniform speed. Its motion is

1. not periodic
2. periodic but not simple harmonic
3. periodic and simple harmonic
4. none of the above