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3 public questions tagged with this topic.

Wave Speed, Energy and Power

A string of length 2.5 m and mass 0.05 kg has a wave speed of 100 m/s. What is the tension in the string?

**Energy transport** in waves scales with amplitude squared A² and frequency squared ω². Wave speed determines propagation rate, and understanding T and μ allows quantitative prediction of v and associated frequencies. μ = (0.05/2.5) = 0.02 kg/m . v = √((T/μ)) ⇒ 100 = √((T/0.02)) ⇒ 100² = (T/0.02) . T = 10000 × 0.02 = 200 N . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 200 N, illustrating frequency-length-speed interdependence and quantization by boundaries.

Ref: NCERT > Physics Book > Waves > Wave Speed, Energy and Power

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Transverse and Longitudinal Waves

A transverse wave travels on a string with a speed of 20 m/s and a frequency of 10 Hz. What is its wavelength?

**Mechanical waves** require medium and can be transverse or longitudinal. Sound in air is longitudinal since fluids support only compressional motion, while string waves are transverse. Progressive waves transfer energy without net mass transport, distinguishing from standing waves. Speed: v = v λ . λ = (v/v) = (20/10) = 2 m . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 2 m, illustrating frequency-length-speed interdependence and quantization by boundaries.

Ref: NCERT > Physics Book > Waves > Transverse and Longitudinal Waves

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Transverse and Longitudinal Waves

A transverse wave on a string has a speed of 15 m/s and a period of 0.05 s. What is its wavelength?

**Nature of wave** determines energy transfer mechanism. Longitudinal nature of sound explains propagation through fluids with density variations carrying energy, unlike transverse waves needing rigidity for restoring force. Frequency: v = (1/T) = (1/0.05) = 20 Hz . Wavelength: λ = (v/v) = (15/20) = 0.75 m . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 0.75 m, illustrating frequency-length-speed interdependence and quantization by boundaries. This aligns with NCERT Class 11 treatment, emphasizing conservation, symmetry and dimensional consi

Ref: NCERT > Physics Book > Waves > Transverse and Longitudinal Waves

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