How do vibrations of a simple pendulum and motion of a ball over a watch glass illustrate the principle of energy conservation ?

State and explain Lenz's law. Give one exmple to illustrate the law. How will you verify it experimentally ? Does it obey the principle of energy consevartion ?

Statement 1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Statement 2 : The principle of conservation of momentum holds true for all kinds of collisions.

The bob of a vibrating simple pendulum is made of ice. How will the period of swing will change when the ice starts melting?

In figure, k = 100 N//m, M = 1kg and F = 10 N (a) Find the compression of the spring in the equilibrium position (b) A sharp blow by some external agent imparts a speed of 2 m//s to the block towards left. Find the sum of the potential energy of the spring and the kinetic energy of the block at this instant. (c) Find the time period of the resulting simple harmonic motion. (d) Find the amplitude. (e) Write the potential energy of the spring when the block is at the left estreme. (f) Write the potential energy of the spring when the block is at the right extreme. The answers of (b), (e) and (f) are different. Explain why this does not violate the principle of conservation of energy ?

(a) Derive an expression for the energy of a particle executing simple harmonic motion. (b) The length of a simple pendulum in increased by 15%. What will be the percentage increase in time period ?

For a simple pendulum in simple harmonic motion, which of the following statements is/are correct? 1. The kinetic energy is maximum at the mean position. 2. The potential energy is maximum at the mean position. 3. Acceleration is maximum at the mean position. Select the correct answer using the code given below: Code:

Define practical simple pendulum. Show that motion of bob of pendulum with small amplitude is linear S.H.M. Hence obtain an expression for its period. What are the factors on which its period depends ? The total free surface energy of a liquid drop is pi sqrt 2 times the surface tensin of the liquid. Calculate the diameter of the drop in S.I unit.

Consider an excited hydrogen atom in state n moving with a velocity upsilon(upsilon lt lt c) . It emits a photon in the direction of its motion and changes its state to a lower state m. Apply momentum and energy conservation principle to calculate the frequency v of the emitted radiation, compare this with the frequency v_(0) emitted if the atom were at rest.

In an experiment of simple pendulum, time period measured was 50s for 25 vibrations when the length of the simple pendulum was taken to be 100cm . If the lest count of stop watch is 0.1s and that of metre scale is 0.1 cm , calculate the maximum possible percentage error in the measurement of value of g .