Standing wave in the string problem
A 4-m-long string, fixed at both ends, has a mass of 8 g. If you want to set up a standing wave in this string having a frequency of 280 Hz and three antinodes, what tension should you put the string under?
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The molecular weight of bleach (Sodium Hypochlorite NaClO) is 74.35 gms and the room temperature is 300K. Ignore convective currents.
An air-tight room is filled with air. The room is divided into two sections by a barrier. One side of the room has a volume of 1000 ft3, a temperature of 70°F, and a pressure of 1 atm.
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Let Q be a random variable which is uniformly distributed between 0 and 1. On any given day, a particular machine is functional with probability Q. Furthermore, given the value of Q, the status of the machine on diifferent days is independent.
If a coin is flipped 25 times with eight tails occuring, what is the probability that no run of six (or more) consecutive heads occur? (Solve using generating funciton)
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In a particular nuclear power plant the reactor is used to heat water to a saturated vapor at 700 psi , this vapor is then fed to another heat exchanger (superheater) that burns coal where it is superheated to 1100F.
The water at the constant pressure of 1 bar is incompressible, determine the amount of entropy produced, in kJ/°C, for the water as the system.
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