If 50 g of lead (of specific heat 0.11 kcal/kg ? C°) at 100°C is put into 75 g of water (of specific heat 1.0 kcal/kg ? C°) at 0°C. What is the final temperature of the mixture?
A) 2.0°C B) 25°C C) 50°C D) 6.8°C
D
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Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 2sin(4x)cos(3t), where x is in m and t is in s. What is the speed (in m/s) of the interfering waves?
A. 0.75 B. 0.25 C. 1.3 D. 12 E. 3.0
Light is refracted through a diamond. If the angle of incidence is 30°, and the angle of refraction is 12°, what is the index of refraction?
a. 1.3 b. 2.4 c. 2.6 d. 1.8 e. 0.4
Why are supermassive galaxies often found at the cores of rich galaxy clusters?
A) Most of the matter forming the cluster fell into the center to form one large galaxy. B) They are the result of many galactic mergers; one galaxy growing at the expense of others. C) Such a large galaxy attracted smaller galaxies around it to form a cluster. D) Large galaxies, passing a cluster, get captured into the center. E) Many globular clusters swarmed together to form it.
Two flat conductors are placed with their inner faces separated by 6.0 mm. If the surface charge density on one of the inner faces is 40 pC/m2, what is the magnitude of the electric potential differences between the two conductors?
a. 36 mV b. 18 mV c. 32 mV d. 27 mV e. 14 mV