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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#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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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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