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. November 2019

Thermodynamics: Critical Temperature and Volume

Q- A certain gas has the equation of state  

Here Vm is molar volume and a and b are constants.

Find a and b in terms of critical volume Vc and critical temperature Tc.

Solution:

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Ray Optics: Laser

Q- The laser used in cornea surgery to treat corneal disease is the excimer laser, which emits ultraviolet light with a wavelength of 193 nm in air. The index of refraction of the cornea is 1.376. What are the wavelength and frequency of the light in the cornea? 

Solution:    

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Sound: Standing Waves on Stretched String

Q- A string vibrates at its third harmonic frequency. The amplitude at a point 30 cm from one end is half the maximum amplitude. How long is the string?

Solution:

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Kirchhoff's Law

Q- Two ideal constant voltage sources and six resistors are connected in a circuit as shown. The right most resistor is the load. Using mesh analysis calculate mesh currents I1, I2 and I3.

Solution:

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Vectors: Force

Q- The leg and cast in the figure weigh W = 210 N, with the center of mass as indicated by blue arrow. The counter balance W1 = 140 N. Determine the weight W2 and the angle α needed so that no force exerted on the hip joint by the leg and cast.

Solution:

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Gravitation

Q- The earth orbits the sun at a distance of about 1.5*1011 m, in about 365 days(3.15*107 s).

(a) What is the earth’s speed along its orbital path?

(b) If the mass of the earth is 6*1024 kg, find the force exerted on it by the sun.

(c) What is the mass of the sun?

Solution:

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