blem 1. Multiple Choice (5 points each) each A) Suppose that a Young\'s double s

Question

blem 1. Multiple Choice (5 points each) each A) Suppose that a Young's double slit experiment is performed by placing a separate light bulb behing dit. An interference pattern will be observed if a. Both the light bulbs emit the same wavelength light b. The distance between the light bulbs is an integer number of wavelengths c. The light bulbs are equally bright d. Interference will not be observed, because the light bulbs are not coherent with each other Light passes through a narrowslit which is 0.10 mm in the vertical direction and 0.02 mm in the horizontal direction. The dffraction pattern produced by this slit will be 8) a. Larger in the horizontal direction than the vertical direction. b. Larger in the vertical direction than the horizontal direction. c A circular pattern. d. No diffraction pattern will be produced because the width of the slit is larger than the wavelength of light Two space ships move towards each other each traveling at 0.85c in the rest frame of the earth. In the rest frame of the first space ship, the velocity of the second space ship is: C) a 0.72c b 0.85c c 0.99 d. 1.70c In the laboratory frame of reference, O, an event occurs at ,=0 s,x»l.0x10sm. In a frame of reference O, moving in the positive x-direction with a velocity of 0.9 c. (with C-3 x 1 0, m/s ) the event occurs at: D) b. 1, 0s,x'=-2.3 x 10"m

Explanation / Answer

(C) In this the normal addition of velocoties would not work. hence we need to use special relativity velocity addition formula.

= (u+v)/(1+(uv/c2))

putting u=v=.85c

=(.85c+.85c)/(1+(.85*.85))

= 0.99c

hence option (c) is correct.

(D)

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