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R is 4
Using Gauss’s theorem, calculate the flux of the vector field F =xˆi + y ˆj + zkˆ
through the surface of a cylinder of radius A and height H, which has its axis
along the z-axis. The base of the cylinder is on the xy plane.
Gamma rays make sterilization easier they are used in autoclaves. They emits electromagnetic wave of wavelength 0.6*10^-9m determine the period of wave lenghth
Deduce the frequency of this wave
A sinusoidal transverse wave traveling in the positive direction of an x-axis has
amplitude of 2.0cm, a wavelength of 10c and a frequency of 400Hz. If the wave equation is of the form
The equation of certain traveling waves: y(x,t)=0.0450 sin(25.12x-37.68t-0.523) where x
and y are in meters, and t in seconds. Determine the following: (a) Amplitude, (b) wave number, (c)
wavelength, (d) angular frequency, (e) frequency, (f) phase angle, (g) the wave propagation speed.
S and P waves, simultaneously radiated from the hypocenter of an earthquake, are
received at a seismographic station 17.3s apart. Assume the waves have traveled over the same path at
speeds of 4.5km/s and 7.8 km/s. find the distance from the seismograph to the hypocenter of the quake.
The waves near the deep end of the wave pool in the chapter photo have amplitude of 0.50
m. For the 0.40-Hz waves. What is the maximum vertical speed of a swimmer floating on the surface?
What is the maximum vertical acceleration experienced by that swimmer?
What are the wavelengths of television station which transmits vision on 500 MHz sound
on 505 MHz respectively? (Speed of light= c= 3×108 m/s). Find (a) wavelength at which television
transmits vision and (b) wavelength at which television transmit sound.
A wave has an angular frequency of 110 rad/s and a wavelength of 1.80m. Calculate the
angular wave number and the speed of the wave
When you place a heavy encyclopedia, of mass 8 kg, on a kitchen scale (a spring scale)
you notice that before coming to equilibrium, the pointer of the scale oscillates back and forth around
the equilibrium position a few times with a period of 0.4 s. What is the effective spring constant of the
internal spring of the kitchen scale? (Neglect other masses in the scale.)
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