COE in SHM

Q. The voltage across a lamp is (6.0 \pm 0.1) V and the current flowing through it is (4.0 \pm 0.2) A. Find the power consumed with maximum permissible error in it.

Q.

If a simple pendulum oscillates with an amplitude of 50 mm and time period of 2 sec, then its maximum velocity is

[AIIMS 1998; MH CET 2000; DPMT 2000]

1. 0.10 m / s

2. 0.15 m / s

3. 0.8 m / s

4. 0.26 m / s

Q. A binary star consists of two stars A (mass 2.2M_s) and B (mass 11M_s), where M_s is the mass of the sun. They are seperated by dis†an ce d and are rotating about their centre of mass , which is stationary . The ratio of the total angular momentum of the binary star to the angular momentum of star B about the centre of mass is

Q.

A simple harmonic motion is represented by F(t) = 10 sin (20t + 0.5). The amplitude of the S.H.M. is

[DPMT 1998; CBSE PMT 2000; MH CET 2001]

1. a=30

2. a=20

3. a=10

4. a=5

Q. Total energy of a harmonic oscillator of mass 2 kg is 9 J and its potential energy at mean position is5 J. Its amplitude is 0.01 m, its angular frequencywill be(1) 102 rad/s(3) 2 x 102 rad/s(2) V2x10 rad/s(4) 4 x 102 rad/s

Q. A double star system consists of two stars having masses m and 2m separated by a distance r (1) Radius of orbit of heavier star is 2r/3 (2) Kinetic energy of heavy star is double that of lighter star (3) Time period of revolution of both will be same (4) Angular momentum of lighter star is more

Q.

A sphere is suspended by a thread of length I. What minimum horizontal velocity has to be imparted to the ball for it to reach the height of the suspension?

1. 

2. 

3. 

4. 

Q.

A particle is executing linear simple harmonic motion about the origin x = 0. Which of the graphs shown in the figure represents the variation of the potential energy function U(x) versus displacement x?

1. 

2. 

3. 

4. 

Q.

Two beads of mass 2m and m, connected by a rod of length l of negligible mass are free to move in a smooth vertical circular wire frame of radius l as shown. Initially the system is held in horizontal position (as shown in the figure). The velocity that should be given to mass 2m (when rod is in horizontal position) in counter-clockwise direction so that the rod can just become vertical is :

1. 

2. 

3. 

4. 

Q. two particles move in concentric circles of radii r1 , r2 suxh that they maintain a staright line through the centre .find ratio of angular velocities

Q. amplitude of oscillations of a particle decreases to half in 5 minute . THE PERCENTAGE DECREASE IN ITS MAXIMUM KINETIC ENERGY IN 10 minutes

Q. Two blocks m_1 and m_2 are loaded onto a vertical spring of stiffness k . When m_1 is removed suddenly. (more than one option correct) a) time period increases b)m_{2 }will oscillate with amplitude m_1g/k c) v _{max}= m_1g/m_2k d) energy of oscillator is E = m_1^2 g^2/2k

Q. 29.The coefficient of performance of a refrigerator working between 10^° C and 20^° C is - A. 1 B. 28.3 C. 29.3 D. 3.53

Q. One degree of freedom of vibrational mode carries 1/2KT kinetic energy and 1/2KT carries potential energy. (1) true (2) falsr

Q. A simple pendulum of mass m and length l swings back and forth upto an angle of 60^° with vertical. The potential energy at the highest point (assume potential energy at lowest position to be zero)

Q. If the displacement of a simple harmonic oscillation is half of its amplitude at an instant potential energy of the oscillator is 1. 75% of total energy 2.50% of total energy 3.25% of total energy 4.80% of total energy

Q.

In the system as shown, mass of the block is 1kg and spring constant is 25 $\frac{N}{m}$. The maximum kinetic energy of the block is 50J.

1. The amplitude of oscillation is 2m

2. At half of the amplitude, the kinetic energy is 37.5 J

3. At half of the amplitude, potential energy of the spring is 12.5 J

4. At half of the amplitude, potential energy of the spring is 20 J

Q. A spring with spring constants k when compressedby 1 cm, the potential energy stored is U. If it isfurther compressed by 3 cm, then change in itspotential energy is

Q. 13. A binary star consists of two stars(mass 2.2M) and B(11M) where M is the mass of the sun. They are seperated by a distance d and are rotating about their centre of mass which is stationary. The ratio of total angular momentum of binary star to the angular momentum of star B about the centre of mass is

Q. 34.A person of mass 50kg is swinging through a rope of length 6 metre . calculate gain in potential energy makes an angle of 60 degree with s its mean position ?

Q.

The propelling force of a rocket increases uniformly from zero to 5 N in the first 12 m and remains constant for the next 40 m. Find the total work done.

Q. 3.the potential energy of a particle of.mass 100 g is moving along x axis byU=5x(x-4), where x is in meters .the period of assilation is

Q. 71.The angular frequency of oscillation is 20rad of particle of mass 0.1 kg which executes shm along x axis. The kinetic energy is 0.2j and potential energy is 0.3j at x=0.02m.the potential energy is zero at mean position. Amplitude of oscillation is

Q. A PARTICLE EXECUTING SHM WITH ENERGY OF VIBRATION 90J AND a=6cm.WHEN THE PARTICLE REACHES AT DISTANCE 4cmFROM MEAN POSITION, IT IS STOPPED FOR A MOMENT AND THEN RELEASED.THE NEW ENERGY I

Q.

Derive by the method of dimensions, an expression for the energy of a body executing simple harmonic motion, if it depends upon the mass m, the frequency f and the amplitude of vibration r of the body.

Q.

the voltage across the lamp is (6.0± 0.1) and the current passing through it is (4.0±0.2) ampere find the power consumed by the lamp

Q. Q. If a simple pendulum is taken to a place where g decreases by 2% then time period will? a\rbrack increase by 2% b\rbrack increase by 1% c\rbrack increase by 4% d\rbrack decrease by 1%

Q.

Select the odd one out

1. A stretched bow

2. Compressed or elongated spring

3. Compressed gas

4. Lifted weight

Q.

Water failing from a 50 m high fall is to be used for generating electric energy. If 1.8 $\times$${10}^5$ Kg of water falls per hour and half the gravitational potential energy can be converted into electric energy, how many 100 W lamps can be lit?Take g=10 $m/s^2$

1. 123

2. 225

3. 200

4. 100

Q.

For a spring mass system, the total mechanical energy is given by $E=\frac{1}{2}m{\omega }^2{A}^2$.

1. False
2. True