Skip to content
Login Register

#string physics

3 public questions tagged with this topic.

Beats Phenomenon

A stationary wave on a string fixed at both ends has a wavelength of 0.6 m and a frequency of 100 Hz. What is the wave s

**Superposition of nearly equal frequencies** creates resultant y = 2A cos(Δω·t/2) sin(ω_avg·t), envelope frequency Δf/2, beat frequency Δf. Total beats heard in Δt is f_beat·Δt, explaining counting over seconds. Speed: v = v λ = 100 × 0.6 = 60 m/s . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 60 m/s, illustrating frequency-length-speed interdependence and quantization by boundaries. This aligns with NCERT Class 11 treatment, emphasizing conservation, symmetry and dimensional consistency useful for CBSE, NEET and CUET.

Ref: NCERT > Physics Book > Waves > Beats Phenomenon

View Details
Wave Equation and Displacement Relation

A transverse wave on a string has a speed of 24 m/s and a period of 0.02 s. What is its wavelength?

**Displacement relation** encodes λ = 2π/k and f = ω/2π. Comparing given equation y = a sin(kx - ωt) with standard form yields k and ω, hence λ = 2π/k and v = ω/k, essential for identifying propagation characteristics and phase. Frequency: v = (1/T) = (1/0.02) = 50 Hz . Wavelength: λ = (v/v) = (24/50) = 0.48 m . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 0.48 m, illustrating frequency-length-speed interdependence and quantization by boundaries.

Ref: NCERT > Physics Book > Waves > Wave Equation and Displacement Relation

View Details
Wave Speed, Energy and Power

A string of length 1.5 m and mass 0.03 kg has a wave speed of 60 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 = (0.03/1.5) = 0.02 kg/m . v = √((T/μ)) ⇒ 60 = √((T/0.02)) ⇒ 60² = (T/0.02) . T = 3600 × 0.02 = 72 N . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 72 N, illustrating frequency-length-speed interdependence and quantization by boundaries.

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

View Details