Helioseismology In 1962, physicists at Cal Tech discovered that the surface of the Sun vibrates due to the violent nuclear reactions that roil within its core. This has led to a new field of solar science known as helioseismology. A typical vibration of the Sun is shown in Figure 13.39 ; it has a period of 5.7 minutes. The blue patches in Figure 13-39 are moving outward; the red patches are moving inward. (a) Find the angular frequency of this vibration. (b) The maximum speed at which a patch of the surface moves during a vibration is 4.5 m/s. What is the amplitude of the vibration, assuming it to be simple harmonic motion ? Figure 13-39 A typical vibration pattern of the Sun. (Problem 78)
Helioseismology In 1962, physicists at Cal Tech discovered that the surface of the Sun vibrates due to the violent nuclear reactions that roil within its core. This has led to a new field of solar science known as helioseismology. A typical vibration of the Sun is shown in Figure 13.39 ; it has a period of 5.7 minutes. The blue patches in Figure 13-39 are moving outward; the red patches are moving inward. (a) Find the angular frequency of this vibration. (b) The maximum speed at which a patch of the surface moves during a vibration is 4.5 m/s. What is the amplitude of the vibration, assuming it to be simple harmonic motion ? Figure 13-39 A typical vibration pattern of the Sun. (Problem 78)
Helioseismology In 1962, physicists at Cal Tech discovered that the surface of the Sun vibrates due to the violent nuclear reactions that roil within its core. This has led to a new field of solar science known as helioseismology. A typical vibration of the Sun is shown in Figure 13.39; it has a period of 5.7 minutes. The blue patches in Figure 13-39 are moving outward; the red patches are moving inward. (a) Find the angular frequency of this vibration. (b) The maximum speed at which a patch of the surface moves during a vibration is 4.5 m/s. What is the amplitude of the vibration, assuming it to be simple harmonic motion?
Figure 13-39 A typical vibration pattern of the Sun. (Problem 78)
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
Assuming that the vibrations of 35C2 a molecule are equivalent to those of a harmonic oscillator with a force constant Kf=329Nm-1 , what is the zero point energy of vibration of this molecule?
3.29x10-21 J
9.67X10-22 J
6.044 X 10-20 J
35.45 X10-23 J
5.61 X 10-21 J
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Mark for Review
Two particles with same mass are performing simple
harmonic motions along x-axis whose displacement
versus time graphs are shown. The ratio of their
K,
maximum kinetic energies
is
х (m)
(2)
→t(s)
:2A
1:1
1:2
1:4
1:16
Clear Response
II
III
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