Ex 14 : A wire of length 100 cm and having mass of 3 gram is subjected to a tension of 29.4 N. Calculate the fundamental frequency of vibration of the string.
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Q: A string of length 5.0 m is fixed in place on both ends. When it is plucked, it produces a standing…
A: The frequency of a standing wave on a string is determined by the wave speed and the wavelength of…
Q: A string with a mass of 7.14 g and a length of 3.6 m has one end attached to a wall; the other end…
A: The equation for the fundamental frequency is given by f1=Tm/L2L=Mgm/L2L Here, T is the tension in…
Q: A 42-cm length of wire has a mass of 5.9 g. It is stretched between two fixed supports and is under…
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Q: A string consists of two parts attached at x=0. The right part of the string has mass per unit…
A: Given, μl=12.8gmμ=3.2gmA=3.5cm
Q: A string with a mass of 6.5 g and a length of 3.68 m has one end attached to a wall; the other end…
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Q: A string clamped at two ends is vibrating at a fundamental frequency of 439 Hz such that the…
A: Given that:f=439 HzD=43 cmT=86 Nd=0.4 mm
Q: A length of a string is L and its mass per unit length is µ. The string is stretched and the…
A: Please see the answer below.
Q: A string with mass 4x10-3 kg and length 2 m is fixed at both ends such that its tension is 160 N.…
A: The given data are: m=4×10-3 kgL=2 mT=160 Nn=4 Here, m denotes the mass, L denotes the length, T…
Q: Part 1: A 1.4 kg mass is attached to a spring with a constant k=86 N/m. What is the frequency f of…
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Q: 7. A violin wire has a mass of 2.02 g and length 72.5 cm. It is stretched with a tension of 23.1 N.…
A: We have given Mass m = 2.02g = 2.02 × 10-3 kg Length L= 72.5 cm = 0.725 m Tension T = 23.1 N…
Q: A uniform 188 N bar is supported horizontally by two identical wires A and B. A Bar Cube B A small…
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Q: A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal…
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Q: A wire is under tension due to hanging mass. The observed wave speed is 24 m/s when the suspended…
A: wave speed is 24 m/s mass is 3kg a) what is the string's linear density ? b) if the length of the…
Q: A wire with a length of 100 cm is tied between two supports. The tension in the wire is 50N. The…
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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: A periodic, standing wave exists on a string of length L=3.69m. If a particular wave is measured to…
A: The length of one loop is λ/2. Since there are 9 vibrational loops, write the expression for the…
Q: New situation: The tension in and the linear density of the string are kept the same as the above…
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Q: A string with a mass of 4.51 g and a length of 3.72 m has one end attached to a wall; the other end…
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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 string with a mass m = 4 g and a length L = 4.76 m has one end attached to a wall; the other end…
A: Given: The mass (m) of the string is 4 g. The length (L) of the string is 4.76 m. The distance (d)…
Q: A string clamped at two ends is vibrating at a fundamental frequency of 442.2 Hz such that the…
A: SOlution: given that n = 442.2 Hz L = 40 cm = 0.4 m d = 0.4 mm, r=0.4/2=0.2 mm calculate the density
Q: A uniform flexible cable of mass 4.00 kg and length 20.0 m hanging vertically on its own weight.…
A: Given Data: Mass m = 4 kg Length L = 20.0 m Frequency f = 10 Hz The tension at mid point is,…
Q: A string of length 0.282 m is producing a standing wave of period 0.017 second with 6 harmonics. The…
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Q: A sonometer wire of length 0.5 m is stretched by a weight of 5 kg. The fundamental frequency of…
A: To find- Linear density of material (m)=? Given- Length (L)=0.5 m Load attached=5 kg=5×9.8 N=49.0 N…
Q: A standing wave on a string with a length of 14.3m has 8 antinodes and is generated by a 120Hz…
A: Write the general expression for a standing wave
Q: string of length 0.274 m is producing a standing wave of period 0.046 second with 4 harmonics. The…
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Q: The steel string of a string instrument is 62 cm long and 0.26 mm thick. a) With how much force must…
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Q: The A string should have a frequency of 440Hz. A known string is plucked which has a frequency of…
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Q: • A 2.00-m-long rope has a mass of 0.100 kg. The ten- 40 sion is 60.0 N. An oscillator at one end…
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Q: The tension in a wire clamped at both ends is increased to 5.1 times its original magnitude without…
A: The speed of a wave in a string is expressed in the following manner, 1v2=μTv=Tμ ......(1) where, v,…
Q: a steel wire with a uniform tension T=600N, length L=2m and mass 8 kg. a) Find the elementary…
A: Given:- A piano tuner stretches a steel piano wire with Tension T = 600 N The length of the steel…
Q: A musical note on a piano has a frequency of 40 Hz. If the tension in the 2-m string is 308 N, and…
A: A traveling wave can be said to be a wave that will create some disturbance in the string and will…
Q: What is a vibrational frequency of the n=6 harmonic of a string of length 0.71 m strung at the…
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Q: A string with a mass of 6.17 g and a length of 4.21 m has one end distance d= 4.00 m from the wall…
A: Given:- The mass of the string m = 6.17 g The length of the string L = 4.21 m The other end is…
Q: (a) An ethernet cable is 4 m long and has a mass of 0.25 kg. A transverse wave pulse is produced by…
A: Given: Length of the cable, L = 4 m Mass of the cable, M = 0.25 kg Number of trips = 5 Time, t =…
Q: A block of mass 2.5 kg sits on a frictionless 30° incline and is attached with a string to a wall so…
A: Given data: Mass (m) = 2.5 kg Inclined angle (θ) = 30° Linear mass density (μ) = 1.3 g/m = 0.0013…
Q: A string of mass 0.50 kg and a length 3.0 meters is clamped on both ends. If the tension in the…
A: Lowest three natural frequencies f° = 2.04 Hz f1= 4.08 Hz f2= 6.12 Hz
Q: A piano tuner stretches a steel piano wire with a tension of 700 N. The steel wire is 0.425 m long…
A: The fundamental frequency of string closed at both ends is given by, f=nv2L Here, L is length of…
Q: A steel wire in a piano has a length of 0.520 m and a mass of 4.600 x 10 kg. To what tension must…
A: From the fundamental frequency formula , We know that , f = nv/2L ----> f^2 = v^2/4L^2 and We…
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