2 Satellites, A and B, orbiting around Earth have the same Kinetic Energy. Satellite A has a larger mass than satellite B. Which of the following statement is false? Show your working and explain please.
A. Satellite A has a larger period
B. Satellite A has a larger orbital radius
C. Satellite A has a smaller total energy
D. Satellite A has a smaller angular velocity
An air column in a glass tube is open at one end and closed at the other by a movable piston. A 512Hz tuning fork is held at the open end. Resonance is heard when the piston is 83cm from the open end. The piston is withdrawn such that air column becomes longer and the next resonance is obtained. Calculate the new distance between the piston and the open end. Take the speed of sound in the air to be 340ms-1 and ignore end corrections in your calculations.
I don't understand why isn't the answer 249cm?
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Answers & Comments
Verified answer
I'm a bit rusty with resonance, but I'll take a shot at the glass tube question. If you know the correct answer already, you'll know if I'm on the right track or not.
From freq x wavelength = wave speed,
wavelength = 0.664 m = 66.4 cm
The resonance at 83 cm was at 1.25 wavelengths.
If I recall correctly, tube resonance occurs at wave crests and wave troughs (amplitudes).
Crests and troughs are one-half wavelength apart.
A half wavelength here is 33.2 cm.
So I think next resonance is at 83 cm + 33.2 cm = 116.2 cm
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