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In a mass spectrometer, singly-ionized atoms or molecules (charge |e |) are first accelerated by a potential difference V , and then are injected into a region of approximately uniform magnetic field B, where the ions execute a half-circle of the cyclotron orbit. The radius of the half-circle R depends on the ion's mass. You want to distinguish isotopes of helium 3-He and 4-He. The accelerated He ions enter through a small pinhole, and, after they have made the half-circle, can be detected by a detector with linear resolution of d =3.0 mm.
Find the accelerating voltage V needed if the spectrometer uses a magnet with B=0.25 T.
A converging lens of focal length 19.2 cm is separated by 55.3 cm from a converging lens of focal length 4.72 cm. If the height of the object is 3.10 cm, what is the height of the final image
A solid, uniform disk of radius 0.250 m and mass 61.6 kg rolls down a ramp of length 4.60 m that makes an angle of 16° with the horizontal. Find the angular speed of the disk at the bottom of the ramp
You observe that a falling stone takes 0.21 seconds to pass a window that is 1.6 meters tall. What is the speed of the stone as it reaches the bottom of the window
a ball is thrown at an angle of 30 degrees with an initial velocity of 20 ms at an elevation of 10 m. how long will it
A model of the stretching vibrations of a polyethylene chain may be made by considering a linear chain of identical masses M connected by springs of alternating force constants C1 and C2.
The specifications for a ceiling fan you have just bought indicate that the total moment of inertia of its blades is 0.13 kg · m2, What is the angular acceleration of the blades
the index of refraction for red light in water is 1.331 and that for blue light is 1.340. what are the underwater angles of refraction for the blue and red components of the light
Relative to waiting line models: a. What is meant by the terms single-channel system and multiple-channel system? If a crew offour workers operates as a team in servicing a customer, how many chan- nels does the system have?
A boat moves relative to water with a velocity which is n =2 times less than the river flow velocity. At what angle to the stream direction should the boat move to minimize drifting.
A cyclotron designed to accelerate protons has an outer radius of 0.357 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 644 V each time they cross the gap between the dees, Find the cyclotron frequ..
A copper cylinder 1.50m long and 40.0cm in diameter stands onone end. What is the mass of the cylinder? What force does it exert on the ground?
A square aluminum plate 10.0cm on a side carries an electric charge of -2.88x10^-12C.
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