Question 1 (2 points) Which of the following statements is incorrect? O The lowe

Question

Question 1 (2 points) Which of the following statements is incorrect? O The lowest frequency standing wave is known as the fundamental frequency O Nodes are positions of zero amplitude oscillations, while anti-nodes are positions of maximum amplitude oscillations Harmonics are standing waves that occur at frequencies higher than the fundamental frequency O In a standing wave, a fixed end is an anti-node Save Question 2 (4 points) A sonometer metal string is stretched under a tension of 88.2 N. The string is 50 cm long and has a mass of 0.50 g. The velocity of the transverse waves on this string is ab Save Question 3 (4 points) A sonometer metal string is 50 cm long and has a mass of 0.50 g. What must be the tension in the string when the fundamental frequency of this vibrating string is 297 Hz? ab

Explanation / Answer

option (4) is FALSE

at fixed end always node is formed

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Q2)

speed of wave in a string v = sqrt(T/u)

T = tension in wire = 88.2 N

u =linear density = m/L

m = mass of wire = 0.5g = 0.5*10^-3 kg

L = length of the wire = 50 cm = 0.5 m

speed v = sqrt(T/(m/L)) = sqrt(TL/m)

speed v = sqrt(88.2*0.5/(0.5*10^-3)) = 297 m/s <<<<------ANSWER

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Q3)

speed of wave in a string v = sqrt(T/u)

T = tension in wire = 88.2 N

u =linear density = m/L

m = mass of wire = 0.5g = 0.5*10^-3 kg

L = length of the wire = 50 cm = 0.5 m

speed v = sqrt(T/(m/L))

fundamental frequency f = v/(2L)

speed v = f*2L = sqrt(TL/m)

T = (f^2*4*L^2*m)/L

T = f^2*4*L*m

T = 297^2*4*0.5*0.5*10^-3

T = 88.2 <<<<------ANSWER

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