1. The speed of the rocket ship at which its length to be contracted to 99% of its rest length is: a) 0.141c b) 0.09c c) 0.05c d) 0.23c 2. An astronaut is standing in a spacecraft parallel to its direction of motion. An observer on the earth finds that the spacecraft speed is 0.60c and the astronaut is 1.3m tall. What is the astronaut's height (in m) as measured in the spacecraft? a)125 b)1.625 c)123.4 d) 45.8

Principles of Physics: A Calculus-Based Text
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Chapter9: Relativity
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Problem 53P: An alien spaceship traveling at 0.600c toward the Earth launches a landing craft. The landing craft...
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please solve question 1 and 2,  thanks alot sir for your helping 

1. The speed of the rocket ship at which its length to be contracted to 99% of its rest length is:
a) 0.141c
b) 0.09c
c) 0.05c
d) 0.23c
2. An astronaut is standing in a spacecraft parallel to its direction of motion. An observer on the earth finds that
the spacecraft speed is 0.60c and the astronaut is 1.3m tall. What is the astronaut's height (in m) as measured in
the spacecraft?
a) 125
b)1.625
c)123.4
d) 45.8
3. What is the velocity of an electron whose kinetic energy is 2MeV?
a) 0.98c
b) 0.65c
c) 0.12c
d) 0.49c
4. Calculate the speed of a particle whose kinetic energy is doubled its rest energy:
a) 0.852c
b) 0.547c
c) 0.943c
d) 0.158c
5. The frequency of a photon produced when an electron of 20 keV is brought to rest in one collision with a
heavy nucleus is (in Hz):
a) 3.85×10¹8
b) 5.75×10¹8 c) 9.82×10¹8 d) 4.84x10¹8
6. Potassium is illuminated with UV light of wavelength 2500A.If the work function of potassium is 2.21 eV,
the maximum kinetic energy of the emitted electrons is (in eV):
a) 5.56
b) 6.23
c) 4.51
d) 2.75
7. If an x-ray of wave length 0.3Aº undergoes a 60° Compton scattering, what is the wavelength of the scattered
photon (in Aº):
a) 0.312
b) 0.658 c) 0.546
d) 0.872
8. Find the momentum (in MeV/c) of an electron whose speed is 0.600c:
a) 0.578 MeV/c b) 0.528 MeV/c c) 0.383 MeV/c
d) 0.989 MeV/c
9. Determine the distance of the closest approach (in m) of 7.7 MeV alpha particles incident on gold nucleus?
(Atomic number of gold is 79).
a) 30.0×10-14
b)3.0x10-14
c) 300×10-14
d) 0.30×10-14
10. Find the de Broglie wave length of a 0.05eV neutron (in Aº):
a) 1.28
b) 1.56
c) 2.28
d) 1.96
1. What is the first energy level for an electron in a box of width 6 Aº (in eV)?
a) 1.28
b) 1.09
c) 1.04
d) 1.56
12. Determine the speed of electron in the n=2 state (in m/s):
a) 1.1x10+6
b) 2.9x10+6
c) 1.8×10+6
d) 2.5×10+6
3. The shortest wavelength of the Lyman series of hydrogen is (in Aº):
c) 789
d) 231
a) 564
b) 912
Transcribed Image Text:1. The speed of the rocket ship at which its length to be contracted to 99% of its rest length is: a) 0.141c b) 0.09c c) 0.05c d) 0.23c 2. An astronaut is standing in a spacecraft parallel to its direction of motion. An observer on the earth finds that the spacecraft speed is 0.60c and the astronaut is 1.3m tall. What is the astronaut's height (in m) as measured in the spacecraft? a) 125 b)1.625 c)123.4 d) 45.8 3. What is the velocity of an electron whose kinetic energy is 2MeV? a) 0.98c b) 0.65c c) 0.12c d) 0.49c 4. Calculate the speed of a particle whose kinetic energy is doubled its rest energy: a) 0.852c b) 0.547c c) 0.943c d) 0.158c 5. The frequency of a photon produced when an electron of 20 keV is brought to rest in one collision with a heavy nucleus is (in Hz): a) 3.85×10¹8 b) 5.75×10¹8 c) 9.82×10¹8 d) 4.84x10¹8 6. Potassium is illuminated with UV light of wavelength 2500A.If the work function of potassium is 2.21 eV, the maximum kinetic energy of the emitted electrons is (in eV): a) 5.56 b) 6.23 c) 4.51 d) 2.75 7. If an x-ray of wave length 0.3Aº undergoes a 60° Compton scattering, what is the wavelength of the scattered photon (in Aº): a) 0.312 b) 0.658 c) 0.546 d) 0.872 8. Find the momentum (in MeV/c) of an electron whose speed is 0.600c: a) 0.578 MeV/c b) 0.528 MeV/c c) 0.383 MeV/c d) 0.989 MeV/c 9. Determine the distance of the closest approach (in m) of 7.7 MeV alpha particles incident on gold nucleus? (Atomic number of gold is 79). a) 30.0×10-14 b)3.0x10-14 c) 300×10-14 d) 0.30×10-14 10. Find the de Broglie wave length of a 0.05eV neutron (in Aº): a) 1.28 b) 1.56 c) 2.28 d) 1.96 1. What is the first energy level for an electron in a box of width 6 Aº (in eV)? a) 1.28 b) 1.09 c) 1.04 d) 1.56 12. Determine the speed of electron in the n=2 state (in m/s): a) 1.1x10+6 b) 2.9x10+6 c) 1.8×10+6 d) 2.5×10+6 3. The shortest wavelength of the Lyman series of hydrogen is (in Aº): c) 789 d) 231 a) 564 b) 912
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