A string of length L is fixed between two points. If a standing wave of 5 nodes is produced, what is the relationship between the string's length, L, and its wavelength?

Q: A standing wave is established on a 1.2 m long string fixed at both ends. The string vibrates in…

A: Given :      Length of the string, L = 1.2 m (fixed at both ends)      Frequency, f4 = 120 Hz…

Q: A student wants to establish a standing wave on a wire 3 m long clamped at both ends. If the wave…

A: The minimum frequency of fundamental mode (fmin ) of a standing wave on a string tied at both ends…

Q: The fourth harmonic standing wave is oscillating at 400 Hz on a 4.0 m long fixed-end string. What is…

A: Given data: The mode of the harmonics is, n= 4 The frequency of the 4th standing harmonic wave is,…

Q: You have a string with a mass of 0.0127 kg. You stretch the string with a force of 8.09 N, giving it…

A: The given values are, m=0.0127 kgT=8.09 NL=1.95 mn=4

Q: A string on a stringed instrument has a length of 1.5m and a mass of 5g.  The string is held taut by…

A: It is given that

Q: A string of length 0.55 m is producing a standing wave of period 7 second with 9 harmonics. The…

A: Given data: Length of the string l= 0.55m Time period T=7s Number of harmonics n=9

Q: Consider a wave described by the wave function 5 Tt 9Tt TT s-1t+ -1 y (x,t)=0.50m sin (- 3 S. 4 10…

A: Finding the velocity of wave from equation:

Q: When the particles of a medium are vibrating perpendicular to the direction of energy transport,…

A:

Q: A guitar string has a pluckable length of 42 cm. What is the length of the 5th harmonic?

A: Given data-     Pluckable length of guitar string ( L ) = 42 cm  Explanation -    because string of…

Q: A student wants to establish a standing wave on a wire 2.2 m long fixed at both ends. The wave speed…

A: Given: The length of the string is 2.2 m. The speed of the wave is 565 m/s.

Q: Consider a wave on a string with constant tension. If the frequency of the wave is doubled, by what…

A:

Q: A sinusoidal transverse wave of amplitude ym = 3.2 cm and wavelength = 3.4 cm travels on a stretched…

A: Given:  Amplitude of wave, ym = 3.2 cm  wavelength = 3.4 cm

Q: A 2-segment standing wave is formed in a string of length 1 m.  If the period of the waves forming…

A:

Q: A wire with mass 50 g is stretched so that its ends are tied down at points 90 cm apart. The wire…

A: GivenMass of wire (M) = 50 g = 50 ×10-3 kg =5×10-2 kgLength of the wire (l) = 90 cm = 90 × 10-2 m =…

Q: On a wire of Length L, a standing wave of 6 loops is formed. The position x of the third antinode is…

A: Given:-  The length of the wire is L formed a standing wave of 6 loops is formed.  Find:-  The…

Q: A sine wave is traveling in the positive (x) direction, amplitude (15 cm), wavelength (40 cm) and…

A: We know thatv=fλWherev=wave velocityf=frequency of waveλ=wavelength of wave

Q: A tuning fork of frequency 1000Hz resonates with a string of length 1.5 m fixed at two ends…

A: Data Given ,  Frequency ( f ) = 1000 Hz String length ( L ) = 1.5 m  For 5th Overtone , no. Of nodes…

Q: Consider the standing wave pattern shown in the figure. If the maximum transverse speed at an…

A:

Q: A string of length L = 2.5 m and mass m = 0.095 kg is fixed between two stationary points, and when…

A: Given:A string of length L = 2.5 m and mass m = 0.095 kg and when the string is plucked, a…

Q: A student wants to establish a standing wave on a wire 1.8 m long clamped at both ends. If the wave…

A: The frequency of fundamental mode (f1 ) of a standing wave on a string tied at both ends and of…

Q: A nylon rope of length 22m is under a tension of 1.6 × 104 N. The total mass of this rope is 1.9 kg.…

A: Length l=22 mTension T=1.6x104 NMass of rod m=1.9 kgLinear density μ=ml

Q: A nylon rope of length 16m is under a tension of 1.5 × 104 N. The total mass of this rope is 2.1 kg.…

A:

Q: Consider a wave on a string with constant tension. If the frequency of the wave is doubled, by what…

A:

Q: Consider a tube open at both ends that has a length of 0.500m. What is the wavelength of second…

A: Given: The length of the tube is 0.500 m.

Q: If the frequency of a traveling wave train is increased by a factor of three in a medium where the…

A:

Q: Prove that for a sinusoidal wave of one cycle, the average value is zero.

A:

Q: For numbers 4 to 6, consider A sinusoidal wave travels along a string. The time for a particular…

A: Given data:  Time taken to move from maximum amplitude to zero (t) = 0.25 s Wavelength (λ) = 4.0 m…

Q: Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their…

A:

Q: If a wave pulse with an amplitude of 2 cm overlaps with a wave pulse that has an amplitude of -4 cm,…

A: Given data: Amplitude of first wave pulse is, A1=2 cm. Amplitude of second wave pulse is, A2=-4 cm.

Q: A stretched string is observed to have four equal segments in a standing wave driven at a frequency…

A:

Q: A student wants to establish a standing wave on a wire 2 m long clamped at both ends. If the wave…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: If the tension in a string were increased by a factor of four, by what factor would the wave speed…

A: Given: The tension of the spring is increased by four times.

Q: A string vibrates with standing waves in five loops when the frequency is 600 Hz. What frequency…

A: number of loops = 5 frequency = 600 Hz

Q: Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a…

A:

Q: What is the maximum speed of a wave on a rope with a linear mass density of 5 kg/m and a tension…

A: Given data:  Linear mass density (μ) = 5 kg/m Tension force (T) = 70 N Required: Maximum Speed (v)…

Q: A stretched string of length L is observed to vibrate in five equal segments when driven by a…

A:

Q: Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their…

A: Amplitude, a1 = 1.00 Amplitude, a2 = 2.00 Phase difference, Φ = 60° Resultant amplitude, A = ?

Q: On a wire of Length L, a standing wave of 6 loops is formed. The position x of the third antinode is…

A:

Q: In a simple harmonic oscillator equation of the constant of proportionality is given by (where x is…

A:

Q: For any given wave (moving at a constant speed), if the frequency quadruples, the wavelength

A: Given data The final frequency f2=4f1 Here f1 is the initial frequency.   The wavelength for the…

Q: The linear density of the A string on a violin is 4.12 × 10-4 kg/m. A wave on the string has a…

A:

Q: For the lowest harmonic of pipe with one open end and one closed end, how much of a wavelength fits…

A:

Q: The linear density of the A string on a violin is 7.8 * 10-4 kg/m. A wave on the string has a…

A: Given data: The linear density of string is μ=7.8×10-4 kg/m. Frequency of wave is f=440 Hz.…

Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).