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The Magic of Words | Grade XI


Magic of Words

Grade XI

SCIENCE | MANAGEMENT | EDUCATION | ARTS

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Physics: Simple Harmonic Motion - SHM

Simple Harmonic Motion(SHM) What is Periodic motion? The motion which repeats itself after equal intervals of time is called periodic motion . For example: the motion of planets and satellites, vibration of springs, motion of pendulum, motion of different hands in watch etc. What is Simple Harmonic Motion? The periodic motion in which particle moves to and fro (back and forth) such that the acceleration of the particle is directly proportional to the displacement from mean position and directed towards the mean position is called simple harmonic motion. i.e. for SHM, a ∝ y ( where y is the displacement from mean position) or, a = −ky ..........................(i) (Where, k is proportionality constant. Negative sign shows that the acceleration opposes the displacement from mean position.) SHM in terms of uniform circular motion(Characteristics of SHM): Equation of SHM: Consider a particle moving in a circular orbit having centre at O and radius r with uniform angular velocity ω. Let P...
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Progressive Wave and its Equation - Physics Grade XII

Progressive Wave A progressive wave is defined as one in which the wave profile moves forward with the wave's speed. Both transverse and longitudinal waves are progressive waves. In a progressive wave, the amplitude and frequency of particle vibrations are the same, but the phase of the vibration varies from point to point along the wave. Progressive Wave Equation Suppose that the wave moves from left to right with a displacement velocity of v in which each article vibrates with a simple harmonic motion. However, when compared to the motion of the particle o at the origin O (at x = 0), subsequent particles to the right have phase lag. The vibrating particle's displacement y at origin O is given by, y = a sin  ω t      ........ (1) where 'a' is amplitude, 't' is time: ω  = 2πf, is the angular velocity, where f is the frequency of vibration. Consider a particle P at distance x from the origin as in fig. Φ be the phase lag of the particle P and λ be the wavelength....
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Exploring Doppler's Effect: How Sound Waves Change Frequency

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