An object is placed a distance y0 = ?2f in front of a convex lens of focal length f that is located at y = 0. An identical object is placed a distance in front of a concave lens of focal length ?f that is located at . The difference between the two image positions,

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A.

.

B.

f.

C.

.

D.

2f.

E.

.

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Answer: E

Physics & Space Science

In a phase diagram, the _____________line gives the temperature where the first liquid forms upon heating an alloy of given composition C0 from the solid phase.

Fill in the blank(s) with the appropriate word(s).

How does the theory of planetary migration in disks possibly account for the highly eccentric orbits discovered for some extrasolar planets?

A) When migrating planets collide, they would move onto more eccentric orbits. B) When migrating planets pass close enough for a gravitational encounter, one may be flung from the system while the other is shifted to a highly elliptical orbit. C) A migrating planet would create waves in the planet forming disk, which would in turn lead to the formation of planets on highly elliptical orbits. D) When a planet migrates onto the surface of the star, the additional stellar mass would disrupt the orbits of the remaining planets.

By what factor is the self-inductance of a solenoid changed if only its cross-sectional area, A, is doubled?

a. 1/2 c. 2 b. 4 d. 8

The angle between two plane mirrors that meet at one edge is 45°. The change in direction of a ray that strikes the first mirror at a 60° angle of incidence when that ray reflects from the second mirror is

a. 0°. b. 45° c. 90° d. 150° e. 270°