๐™‹๐™๐™ฎ๐™จ๐™ž๐™˜๐™จ ๐™๐™–๐™ฃ๐™  ๐˜ฝ๐™ค๐™ค๐™จ๐™ฉ๐™š๐™ง ๐™‡๐™€๐™โ€™๐™Ž ๐˜พ๐™๐˜ผ๐˜พ๐™† ๐™„๐™ ๐™‰๐™Š๐™๐™€๐™Ž โš•๏ธ ๐™’๐™–๐™ฎ ๐™ฉ๐™ค ๐™จ๐™ช
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โญ physics Rank booster series
โญ increase score by 50+ marks
โญ 120+ marks for sure
โญ best mind map, best short notes daily
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#GRAPHFACTS
โญ xโ€“t graph
โœ”๏ธ Sinusoidal
โญ vโ€“t graph
โœ”๏ธ Sinusoidal
โญ aโ€“t graph
โœ”๏ธ Sinusoidal
โญ Phase difference
๐Ÿ“Œ Velocity leads displacement by ฯ€/2
๐Ÿ“Œ Acceleration leads velocity by ฯ€/2
๐Ÿ“Œ Acceleration and displacement differ by ฯ€
๐Ÿ”ฅ1๐ŸŽ‰111
#DIMENSIONS
โญ Angular frequency (ฯ‰)
๐Ÿ“Œ [Tโปยน]
โญ Frequency (f)
๐Ÿ“Œ [Tโปยน]
โญ Time period (T)
๐Ÿ“Œ [T]
โญ Spring constant (k)
๐Ÿ“Œ [MTโปยฒ]
๐Ÿ˜2๐Ÿฅฐ111
โŒ Every periodic motion is SHM
โœ”๏ธ Every SHM is periodic
โœ”๏ธ Every periodic motion is NOT SHM
โญ Mean position
๐Ÿ“Œ KE = Maximum
๐Ÿ“Œ PE = Zero
โญ Extreme position
๐Ÿ“Œ KE = Zero
๐Ÿ“Œ PE = Maximum
โญ Time period of simple pendulum
โœ”๏ธ Independent of mass
โœ”๏ธ Independent of amplitude (for small oscillations)
โญ In SHM
๐Ÿ“Œ a โˆ โˆ’x
๐Ÿ“Œ F โˆ โˆ’x
โญ Total energy remains constant
๐Ÿ“Œ E = ยฝmฯ‰ยฒAยฒ
โญ Velocity maximum at mean position
โญ Acceleration maximum at extreme position
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โค2๐Ÿ‘111
#WAVE ๐Ÿ”ฅ๐Ÿ”ฅ
โญ Wave
โœ”๏ธ Disturbance that transfers energy from one place to another
โœ”๏ธ No net transfer of matter
โญ๏ธ Wave motion
โœ”๏ธ Particles oscillate about mean position
โœ”๏ธ Energy propagates forward
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#TYPESOFWAVES

โญ Mechanical waves
โœ”๏ธ Require material medium
#EXAMPLES
โœ”๏ธ Sound waves
โœ”๏ธ Waves on string
โœ”๏ธ Water waves

โญ Electromagnetic waves
โœ”๏ธ Do not require medium
#EXAMPLES
โœ”๏ธ Light
โœ”๏ธ Radio waves
โœ”๏ธ X-rays

#๏ธโƒฃ #TRANSVERSEWAVES
โญ Particle vibration โŸ‚ Wave propagation
โœ”๏ธ Crests and troughs formed
#EXAMPLES
โœ”๏ธ Waves on stretched string
โœ”๏ธ Electromagnetic waves

#๏ธโƒฃ #LONGITUDINALWAVES
โญ Particle vibration โˆฅ Wave propagation
โœ”๏ธ Compressions and rarefactions formed
#EXAMPLES
โœ”๏ธ Sound waves in air
โค1๐Ÿ”ฅ1๐Ÿ™ˆ111
#IMPORTANTTERMS ๐Ÿ”ฅ
โญ Amplitude (A)
โœ”๏ธ Maximum displacement from mean position

โญ Wavelength (ฮป)
โœ”๏ธ Distance between two consecutive particles in same phase
๐Ÿ“Œ Unit = m
โญ Time period (T)
โœ”๏ธ Time for one oscillation
๐Ÿ“Œ Unit = s

โญ Frequency (f)
๐Ÿ“Œ f = 1/T
๐Ÿ“Œ Unit = Hz

โญ Angular frequency (ฯ‰)
๐Ÿ“Œ ฯ‰ = 2ฯ€f

โญ Wave number (k)
๐Ÿ“Œ k = 2ฯ€/ฮป
๐Ÿ“Œ Unit = mโปยน


#๏ธโƒฃ #WAVEEQUATION ๐Ÿ’™๐Ÿ’™
โญ General wave equation
๐Ÿ“Œ y = A sin(kx โˆ’ ฯ‰t)
or
๐Ÿ“Œ y = A sin(ฯ‰t โˆ’ kx)
where,
โญ A = Amplitude
โญ k = Wave number
โญ ฯ‰ = Angular frequency


#๏ธโƒฃ #WAVEVELOCITY
โญ Wave speed
๐Ÿ“Œ v = fฮป
๐Ÿ“Œ v = ฯ‰/k
โญ Unit = m sโปยน
โญ Dimension = [LTโปยน]
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#STANDINGWAVES ๐Ÿ”ฅ๐Ÿ”ฅ

โญ Formed by superposition of two waves of same frequency & amplitude moving in opposite directions
โญ Node (N)
โœ”๏ธ Displacement always zero
โญ Antinode (A)
โœ”๏ธ Displacement maximum
#DISTANCES
๐Ÿ“Œ Distance between two consecutive nodes = ฮป/2
๐Ÿ“Œ Distance between two consecutive antinodes = ฮป/2
๐Ÿ“Œ Distance between node and adjacent antinode = ฮป/4
#STRINGFIXEDATBOTHENDS
โญ Fundamental frequency
๐Ÿ“Œ fโ‚ = v/2L
โญ First overtone
๐Ÿ“Œ fโ‚‚ = 2fโ‚
โญ Second overtone
๐Ÿ“Œ fโ‚ƒ = 3fโ‚
โญ nth harmonic
๐Ÿ“Œ fโ‚™ = nv/2L
๐Ÿ˜22๐Ÿ‘11
DOPPLEREFFECT ๐Ÿ’™
โญ๏ธ Apparent change in frequency due to relative motion between source and observer
#IMPORTANT
โœ”๏ธ Source approaches
๐Ÿ“Œ Frequency increases
โœ”๏ธ Source recedes
๐Ÿ“Œ Frequency decreases
#APPLICATIONS
โœ”๏ธ Radar gun
โœ”๏ธ Speed measurement
โœ”๏ธ Astronomy
โœ”๏ธ Medical ultrasound

#BEATS
โญ Produced by superposition of two waves having slightly different frequencies
๐Ÿ“Œ Beat frequency
๐Ÿ“Œ fb = |fโ‚ โˆ’ fโ‚‚|
#IMPORTANT
โœ”๏ธ Number of beats per second = Beat frequency


#DIMENSIONS
โญ Frequency
๐Ÿ“Œ [Tโปยน]
โญ Angular frequency
๐Ÿ“Œ [Tโปยน]
โญ Wave number
๐Ÿ“Œ [Lโปยน]
โญ Wavelength
๐Ÿ“Œ [L]
โญ Wave velocity
๐Ÿ“Œ [LTโปยน]
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โŒ Wave transfers matter
โœ”๏ธ Wave transfers energy only
โญ Sound wave
โœ”๏ธ Longitudinal wave
โœ”๏ธ Mechanical wave
โญ Light wave
โœ”๏ธ Transverse wave
โœ”๏ธ Electromagnetic wave
โญ v = fฮป
โœ”๏ธ Frequency remains constant when wave enters another medium
โœ”๏ธ Wavelength changes
โญ Node displacement = 0
โญ Antinode displacement = Maximum
โญ Beat frequency
๐Ÿ“Œ fb = |fโ‚ โˆ’ fโ‚‚|
โญ Source approaching
๐Ÿ“Œ Observed frequency increases
โญ Speed of sound
๐Ÿ“Œ Solid > Liquid > Gas
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2๐Ÿ”ฅ1๐Ÿ˜1๐Ÿ˜˜11
Rain ๐ŸŒงman problem

Partiality rain ke sath bhi man ko hi prblm ๐Ÿ˜ญ๐Ÿ˜ญ
Women ke maaje h ๐Ÿ‘€๐Ÿ‘€
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