Four identical 4-mF capacitors are connected together electrically. What is the least possible capacitance of the combination?
a. 4 mF
c. 1/8 mF
b. 1 mF
d. 1/4 mF
[Ques. 2] A 8.4-kg mass is placed at (3.0, 4.0) m. Where can a 4.2-kg mass be placed so that the moment of inertia about the z axis is zero?
a. (-3.0, -4.0) m
c. (-1.5, -2.0) m
b. (-6.0, -8.0) m
d. There is no position giving this result.
[Ques. 3] Two capacitors with CA greater than CB, are connected in parallel with a battery. Which of the following is true?
a. There is the same charge stored on each capacitor.
b. There is the same potential difference across both capacitors.
c. There is more potential difference across CB.
d. There is more potential difference across CA.
[Ques. 4] The quantity moment of inertia (in terms of the fundamental quantities of mass, length, and time) is equivalent to:
a. ML2T-2.
c. ML2.
b. ML.
d. ML-1T-2.
[Ques. 5] Two capacitors, with CA greater than CB, are connected in series with a battery. Which of the following is true?
a. There is more charge stored on CB.
b. There is the same charge stored on each capacitor.
c. There is the same potential difference across both capacitors.
d. There is more charge stored on CA.
[Ques. 6] A uniform 1.0-N meterstick is suspended horizontally by vertical strings attached at each end. A 2.0-N weight is suspended from the 10-cm position on the stick, another 2.0-N weight is suspended from the 50-cm position, and a 3.0-N weight is suspended from the 60-cm position. What is the tension in the string attached at the 100-cm end of the stick?
a. 1.9 N
c. 3.5 N
b. 3.0 N
d. 4.0 N
[Ques. 7] Two capacitors with capacitances of 1.0 mC and 0.50 mF, respectively, are connected in series. The system is connected to a 150 V battery. What charge accumulates on the 1.0-mF capacitor?
a. 50 mC
c. 100 mC
b. 150 mC
d. 33 mC
[Ques. 8] A uniform, horizontal beam of length 6.0 m and weight 140 N is attached at one end to a wall by a pin connection (so that it may rotate). A cable attached to the wall above the pin supports the opposite end. The cable makes an angle of 60 with the horizontal. What is the tension in the cable needed to maintain the beam in equilibrium?
a. 81 N
c. 70 N
b. 69 N
d. 140 N
[Ques. 9] Two capacitors with capacitances of 1.5 mC and 0.25 mF, respectively, are connected in parallel. The system is connected to a 40-V battery. What charge accumulates on the 1.5-mF capacitor?
a. 100 mC
c. 60 mC
b. 75 mC
d. 33 mC
[Ques. 10] A woman who weighs 500 N stands on an 8.0 m long board that weighs 100 N. The board is supported at each end. The support force at the right end is 2 times the support force at the left end. How far from the right end is the woman standing?
a. 4.0 m
c. 2.7 m
b. 2.4 m
d. 1.6 m
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