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1. An electron entering Thomson's e/m apparatus (Figure 3.2 and 3.3) has an initial velocity (in horizontal direction only) of 0.7 107 m/s. Lying around the lab is a permanent horseshoe magnet of strength 1.3 10-2 T, which you would like to use.
Figure 3.2
Figure 3.3
(b) When the magnetic field is turned off, but the same electric field remains, how large a deflection will occur if the region of nonzero E and B fields is 2 cm long?
2. Light from a slit passes through a transmission diffraction grating of 330 lines/mm, which is located 2.2 m from a screen. What are the distances on the screen (from the unscattered slit image) of the three brightest visible (first-order) hydrogen lines?
3. (a) Estimate the power radiated by a 25 cm diameter basketball at 18°C.
(b) Estimate the power radiated by a human body (assume a tempertare of 37°C). (Approximate this as a rectangular solid of dimensions 1.9 m by 0.3 m by 0.2 m.)
4. A photon having 27 keV scatters from a free electron at rest. What is the maximum energy that the electron can obtain?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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