test 1 - PHYS 112 — Test 1 Summer 2009 Questions...

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Unformatted text preview: PHYS 112 — Test 1 Summer 2009 Questions: Attention! Make sure that youjustifl your answers explicitly on the space provided on this page in order to qualify for partial credit even when your choice is wrong. Ql: [4] A hydrogen ion contains a proton. A helium ion contains two protons. When released from rest, they will accelerate away from each other. Which of the particles will have a larger acceleration and by how much? a) me"" "CEtea—nitions'willbe the Same. film ’"x b] Th elium will accelerate twice as fast as the hydrogen. mkflh ' 51’ '~ e hydrogen will accelerate twice as fast as the helium. If}; 3 5‘ J icles wonltawelerate 'since‘tlTe—fofie—sfifithfin are equal (acli’d‘néreacw ir Q2: {4] The electric dipole in the figure is released in a leftward constant electric field. What happens with the dipole? 0. a) Rotates clockwise. <:l Rotates counterclockwise. 9 4} Stays at rest. d) Translates to the left. {/79 (Til Q3: {4] The particle of a simple pendulum is positively charged and performs small . = , oscillations first in zero electric field and then in between the horizontal plates of a capacitor, as in the figure. In which case is the period of the oscillator larger? : It depends on which of the two fields is larger— gravitational or electric. __ 7 _, . — - --'~ * ' U h) Inside the capacitor. __ _ __ _ _d_, _ The period isthesame. " '"' ' Hint: Recall that the frequency {6 In zero fi el d of a pendulum increases with g k. ' 68 / Q4: {4] Two solid metallic objects - a sphere and a cube with equal volume diagonals — are electrically charged. Knowing that the electric field on the surface of the sphere is the some as in the comers of the cube, which charge is larger? 3) On the cube. The charges are equal. c The charge in the center of the cube. (1‘ Onthesphere. Q): If. A sz/l‘ Hint: Consider a spherical Gaussian and compare the fluxes @ s Q5: [4] Which of the adjacent curves most likely represents the electric potential of a charged metallic sphere of radius R as a function of the distance r from the center of the sphere. a) A Hint: What is the field inside in) B C the sphere? 0 V ...
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