The time P required for a spring-mass system to complete one full oscillation can be expressed in terms of the attached mass m and the spring constant of the spring k in the form P = kmbkc, where k, b, and c are dimensionless constants
What must be the values of b and c? The dimensions of k are [M]/[T]2.
b = 1/2, c = -1/2
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Each pattern shown below would appear on a screen when monochromatic light first passes through a narrow slit of width a and then strikes a screen. The darkest areas on the page represent the brightest areas on the screen. In which case is the slit illuminated with light of the shortest wavelength?
A.
B.
C.
D.
E.
A rod (length = 10 cm) moves on two horizontal frictionless conducting rails, as shown. The magnetic field in the region is directed perpendicularly to the plane of the rails and is uniform and constant. If a constant force of 0.60 N moves the bar at a constant velocity of 2.0 m/s, what is the current through the 12-? load resistor?
a.
0.32 A
b.
0.34 A
c.
0.37 A
d.
0.39 A
e.
0.43 A
Meters: A galvanometer has an internal resistance of 100 ? and deflects full-scale at 2.00 mA. What size resistor should be added to it to convert it to a millivoltmeter capable of reading up to 400 mV?
A. 50.0 ? in series B. 50.0 ? in parallel C. 100 ? in series D. 100 ? in parallel
During the volcanic eruption of Mt. Pelee in 1902, an incredibly hot "burning cloud" rolled down the mountain and incinerated the town of Saint-Pierre. From the damage done, the temperature in the cloud was estimated at 700°C. If the air temperature
was 20°C and a mole of air is 29 grams, estimate the molecular weight of the gas in the "burning cloud" that made it heavier than the surrounding air. (As a follow-on, estimate the most probable composition of the cloud. Some typical volcanic gases are H2S, SO2, H2SO4, CO2, NO.)