#STANDINGWAVES ๐ฅ๐ฅ
โญ Formed by superposition of two waves of same frequency & amplitude moving in opposite directions
โญ Node (N)
โ๏ธ Displacement always zero
โญ Antinode (A)
โ๏ธ Displacement maximum
#DISTANCES
๐ Distance between two consecutive nodes = ฮป/2
๐ Distance between two consecutive antinodes = ฮป/2
๐ Distance between node and adjacent antinode = ฮป/4
#STRINGFIXEDATBOTHENDS
โญ Fundamental frequency
๐ fโ = v/2L
โญ First overtone
๐ fโ = 2fโ
โญ Second overtone
๐ fโ = 3fโ
โญ nth harmonic
๐ fโ = nv/2L
โญ Formed by superposition of two waves of same frequency & amplitude moving in opposite directions
โญ Node (N)
โ๏ธ Displacement always zero
โญ Antinode (A)
โ๏ธ Displacement maximum
#DISTANCES
๐ Distance between two consecutive nodes = ฮป/2
๐ Distance between two consecutive antinodes = ฮป/2
๐ Distance between node and adjacent antinode = ฮป/4
#STRINGFIXEDATBOTHENDS
โญ Fundamental frequency
๐ fโ = v/2L
โญ First overtone
๐ fโ = 2fโ
โญ Second overtone
๐ fโ = 3fโ
โญ nth harmonic
๐ fโ = nv/2L
๐2 2๐1 1
DOPPLEREFFECT ๐
โญ๏ธ Apparent change in frequency due to relative motion between source and observer
#IMPORTANT
โ๏ธ Source approaches
๐ Frequency increases
โ๏ธ Source recedes
๐ Frequency decreases
#APPLICATIONS
โ๏ธ Radar gun
โ๏ธ Speed measurement
โ๏ธ Astronomy
โ๏ธ Medical ultrasound
#BEATS
โญ Produced by superposition of two waves having slightly different frequencies
๐ Beat frequency
๐ fb = |fโ โ fโ|
#IMPORTANT
โ๏ธ Number of beats per second = Beat frequency
#DIMENSIONS
โญ Frequency
๐ [Tโปยน]
โญ Angular frequency
๐ [Tโปยน]
โญ Wave number
๐ [Lโปยน]
โญ Wavelength
๐ [L]
โญ Wave velocity
๐ [LTโปยน]
#IMPORTANT
โ๏ธ Source approaches
๐ Frequency increases
โ๏ธ Source recedes
๐ Frequency decreases
#APPLICATIONS
โ๏ธ Radar gun
โ๏ธ Speed measurement
โ๏ธ Astronomy
โ๏ธ Medical ultrasound
#BEATS
โญ Produced by superposition of two waves having slightly different frequencies
๐ Beat frequency
๐ fb = |fโ โ fโ|
#IMPORTANT
โ๏ธ Number of beats per second = Beat frequency
#DIMENSIONS
โญ Frequency
๐ [Tโปยน]
โญ Angular frequency
๐ [Tโปยน]
โญ Wave number
๐ [Lโปยน]
โญ Wavelength
๐ [L]
โญ Wave velocity
๐ [LTโปยน]
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โ Wave transfers matter
โ๏ธ Wave transfers energy only
โญ Sound wave
โ๏ธ Longitudinal wave
โ๏ธ Mechanical wave
โญ Light wave
โ๏ธ Transverse wave
โ๏ธ Electromagnetic wave
โญ v = fฮป
โ๏ธ Frequency remains constant when wave enters another medium
โ๏ธ Wavelength changes
โญ Node displacement = 0
โญ Antinode displacement = Maximum
โญ Beat frequency
๐ fb = |fโ โ fโ|
โญ Source approaching
๐ Observed frequency increases
โญ Speed of sound
๐ Solid > Liquid > Gas
@Neetugpoll @Ayano1me @Neetugquiz
โ๏ธ Wave transfers energy only
โญ Sound wave
โ๏ธ Longitudinal wave
โ๏ธ Mechanical wave
โญ Light wave
โ๏ธ Transverse wave
โ๏ธ Electromagnetic wave
โญ v = fฮป
โ๏ธ Frequency remains constant when wave enters another medium
โ๏ธ Wavelength changes
โญ Node displacement = 0
โญ Antinode displacement = Maximum
โญ Beat frequency
๐ fb = |fโ โ fโ|
โญ Source approaching
๐ Observed frequency increases
โญ Speed of sound
๐ Solid > Liquid > Gas
@Neetugpoll @Ayano1me @Neetugquiz
1. Dimensions of physical quantities
2. Distance, displacement and uniform motion
3. Relative velocity.
4. Vectors.
5. Projectile motion.
6. LOM
7. Friction.
8.Circular motion and banking of road.
9. Work done.
10. Energy.
11. Power.
12. Collisions.
13. COM and principle of momentum.
14. Angular displacement,
velocity and acceleration.
15. Torque, couple and angular momentum.
16. MI, rotational kinetic energy
and power
17. Keplerโs laws of planetary motion.
18. Gravitational field potential and energy.
19. Motion of satellite orbital
velocity and escape velocity.
20. Hookes law and Youngโs law of elasticity.
21. Surface, tension and capillarity
22. Thermometry and thermal expansion
23. Calorimetry and heat transfer
24. Newtonโs law of cooling
25. Specific heat capacity and
thermodynamic process
26. SHM
27. Waves
28- 45 Coming soon (28-45 imp topic (12th )
2. Distance, displacement and uniform motion
3. Relative velocity.
4. Vectors.
5. Projectile motion.
6. LOM
7. Friction.
8.Circular motion and banking of road.
9. Work done.
10. Energy.
11. Power.
12. Collisions.
13. COM and principle of momentum.
14. Angular displacement,
velocity and acceleration.
15. Torque, couple and angular momentum.
16. MI, rotational kinetic energy
and power
17. Keplerโs laws of planetary motion.
18. Gravitational field potential and energy.
19. Motion of satellite orbital
velocity and escape velocity.
20. Hookes law and Youngโs law of elasticity.
21. Surface, tension and capillarity
22. Thermometry and thermal expansion
23. Calorimetry and heat transfer
24. Newtonโs law of cooling
25. Specific heat capacity and
thermodynamic process
26. SHM
27. Waves
28- 45 Coming soon (28-45 imp topic (12th )
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