1) A steel guitar string is streched between supports 85.2 cm apart. When the temperature is 0 °C, the fundamental frequency of transverse oscillations of

1) A steel guitar string is streched between supports 85.2 cm apart. When the temperature is 0 °C, the fundamental frequency of transverse oscillations of the string is 201.5 Hz. will be the value of fundamental frequency in Hz if the temperature is raised to 53.6 °C? (Error of answer is tolerated within ±0.1 Hz, Do not include units in the answer box) Useful Data: mass density of steel is: 7,860 kg/m Young’s modulus of steel is 200,000,000,000 N/m (20×10 N/m ) Coefficient of thermal expansion of steel is: 0.000011 (C°) 2) Assume you have a diatomic gas initially at pressure and initial volume . If you compress the gas isothermally to a 71.6% of its initial volume, the final pressure is . If you compress it adiabatically to same final volume, the final pressure is . is the ratio / ? 3) You can excite waves in a string of length 1.821 m fixed at both ends. You started from an arbitrarily low frequency and increased it slowly. You found two harmonic standing waves of frequencies: 214.7 Hz and 225.5 Hz. is the speed of the wave in the medium in m/s.

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