When protons accelerated to speeds very close to csmash into the nucleus of a target atom in a particle accelerator, subatomic particles called pionsare created. Charged pions are unstable particles that decay into muons with a half-life of 18ns. Pions are being investigated for use in cancer treatment since they can pass through tissue with minimal damage until they decay. Significant amount of energy is released upon decay. The speed of the pions can be adjusted so that the most likely place for the decay is in a tumor. Consider pions traveling at a speed of 0.99995cwhen directed from an accelerator to a medical bay 30maway. Time dilation allows the pions to survive long enough to reach the medical bay, enter tissue, slow down and then decay in the tumor. Using this information, answer the questions that follow: • What is the half-life of the pion in the reference frame of the patient undergoing pion therapy? -8- |(A) 1.8 × 10-° s (B) 1.8 × 10-s (C) 1.8 × 10¬8s (D) 1.8 × 10-10 Answer: [ Select ] • What is the distance traveled by the pion from the accelerator to the medical bay in its frame of reference? |(A) 3.0 m (В) 0.3 т (C) 30 т (D) 3000 m Answer: [ Select ]

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When protons accelerated to speeds very close to csmash into the nucleus of a target atom in a
particle accelerator, subatomic particles called pionsare created. Charged pions are unstable
particles that decay into muons with a half-life of 18ns. Pions are being investigated for use in
cancer treatment since they can pass through tissue with minimal damage until they decay.
Significant amount of energy is released upon decay. The speed of the pions can be adjusted so
that the most likely place for the decay is in a tumor.
Consider pions traveling at a speed of 0.99995cwhen directed from an accelerator to a medical
bay 30maway. Time dilation allows the pions to survive long enough to reach the medical bay,
enter tissue, slow down and then decay in the tumor.
Using this information, answer the questions that follow:
• What is the half-life of the pion in the reference frame of the patient undergoing pion therapy?
|(A) 1.8 × 10¬6 s
|(B) 1.8 × 10-7s
(C) 1.8 × 10–8s
|(D) 1.8 × 10–10s
Answer: [ Select ]
• What is the distance traveled by the pion from the accelerator to the medical bay in its frame of
reference?
|(A) 3.0 m
(B) 0.3 m
(C) 30 m
(D) 3000 m
Answer: [ Select ]
Transcribed Image Text:When protons accelerated to speeds very close to csmash into the nucleus of a target atom in a particle accelerator, subatomic particles called pionsare created. Charged pions are unstable particles that decay into muons with a half-life of 18ns. Pions are being investigated for use in cancer treatment since they can pass through tissue with minimal damage until they decay. Significant amount of energy is released upon decay. The speed of the pions can be adjusted so that the most likely place for the decay is in a tumor. Consider pions traveling at a speed of 0.99995cwhen directed from an accelerator to a medical bay 30maway. Time dilation allows the pions to survive long enough to reach the medical bay, enter tissue, slow down and then decay in the tumor. Using this information, answer the questions that follow: • What is the half-life of the pion in the reference frame of the patient undergoing pion therapy? |(A) 1.8 × 10¬6 s |(B) 1.8 × 10-7s (C) 1.8 × 10–8s |(D) 1.8 × 10–10s Answer: [ Select ] • What is the distance traveled by the pion from the accelerator to the medical bay in its frame of reference? |(A) 3.0 m (B) 0.3 m (C) 30 m (D) 3000 m Answer: [ Select ]
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