The special theory of relativity predicts that there is an upper limit to the sp

Question

The special theory of relativity predicts that there is an upper limit to the speed of a particle. It therefore follows that there is also an upper limit on the following properties of a particle. a) the kinetic energy b) none of the other answers c) the total energy d) the linear momentum e) more than one of these A beam of red light and a beam of violet light each deliver the same power on a surface. For which beam is the number of photons hitting the surface per second the greatest? a) the violet beam. b) the red beam c) The number of photons per second is the same for both beams d) This cannot be answered without knowing just what the light intensity is. e) It depends on whether the light is behaving as particles or as waves.

Explanation / Answer

1. KE = (Y - 1) m c^2

Y = 1 / sqrt(1 - (v/c)^2)

Y can go to infinity.

hence no limit for KE.

linear momentum = Y m v

total energy = Y m c^2

Ans(B) none of the others answers.

2. eneryg of single photon = h * frequency

f_violet > f_red

both beams delivers same energy in unit time.

and violet photon have more energy hence they will be less in number.

so red beam photon hitting surface per second will be greatest.

Ans (B)

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