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Diku Khanikar

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- Homework Statement
- Can anyone please help me doing these questions?

- Relevant Equations
- E=(1/2)T(∂y∂x)^2

Q.1. The length of a stretched string fixed at both ends has a length of l=10 cm, mass per unit length ρ= 0.01 gm/cm. If the tension ' T ' is produced by hanging a 11 kg weight at both ends of the string, then calculate,

a) The wavelength of the first two harmonics,

b) The speed of the wave

c) The frequency of the third and fourth harmonics

Q. 2. Prove that the potential energy density of a vibrating string is given by

E=(1/2)T(∂y∂x)^2

where T is the tension in the string and y=y(x,t) is the transverse displacement of the string.

a) The wavelength of the first two harmonics,

b) The speed of the wave

c) The frequency of the third and fourth harmonics

Q. 2. Prove that the potential energy density of a vibrating string is given by

E=(1/2)T(∂y∂x)^2

where T is the tension in the string and y=y(x,t) is the transverse displacement of the string.