A cobalt-60 source with activity 2.60×10-4 Ci is embedded in a tumor that hasmas 0.20 kg. The source emits gamma photons with average energy 1.25 MeV.Half the photons are absorbed in the tumor, and half escape.i. What energy is delivered to the tumor per second? ii. What absorbed dose, in rad, is delivered per second? iii. What equivalent dose, in rem, is delivered per second if the RBE forthese gamma rays is 0.70? Page 6 of 7iv. What exposure time is required for an equivalent dose of 200 rem? [2marks]B. A laser with power output of 2.0 mW at a wavelength of 400 nm is projectedonto a Calcium metal. The binding energy is 2.31 eV.i. How many electrons per second are ejected? ii. What power is carried away by the electrons? C. A hypodermic needle of diameter 1.19 mm and length 50 mm is used towithdraw blood from a patient? How long would it take for 500 ml of blood to betaken? Assume a blood viscosity of 0.0027 Pa.s and a pressure in the vein of1,900 Pa. D. A person with lymphoma receives a dose of 35 gray in the form of gammaradiation during a course of radiotherapy. Most of this dose is absorbed in 18grams of cancerous lymphatic tissue.i. How much energy is absorbed by the cancerous tissue? ii. If this treatment consists of five 15-minute sessions per week over thecourse of 5 weeks and just one percent of the gamma photons in thegamma ray beam are absorbed, what is the power of the gamma raybeam?iii. If the gamma ray beam consists of just 0.5 percent of the photonsemitted by the gamma source, each of which has an energy of 0.03MeV, what is the activity, in Curies, of the gamma ray source?E. A water heater that is connected across the terminals of a 15.0 V power supplyis able to heat 250 ml of water from room temperature of 25°C to boiling pointin 45.0 secs. What is the resistance of the heater? The density of water is 1,000kg/m2 and the specific heat capacity of water is 4,200 J/kg/°C.
A cobalt-60 source with activity 2.60×10-4 Ci is embedded in a tumor that has
mas 0.20 kg. The source emits gamma photons with average energy 1.25 MeV.
Half the photons are absorbed in the tumor, and half escape.
i. What energy is delivered to the tumor per second?
ii. What absorbed dose, in rad, is delivered per second?
iii. What equivalent dose, in rem, is delivered per second if the RBE for
these gamma rays is 0.70?
Page 6 of 7
iv. What exposure time is required for an equivalent dose of 200 rem? [2
marks]
B. A laser with power output of 2.0 mW at a wavelength of 400 nm is projected
onto a Calcium metal. The binding energy is 2.31 eV.
i. How many electrons per second are ejected?
ii. What power is carried away by the electrons?
C. A hypodermic needle of diameter 1.19 mm and length 50 mm is used to
withdraw blood from a patient? How long would it take for 500 ml of blood to be
taken? Assume a blood viscosity of 0.0027 Pa.s and a pressure in the vein of
1,900 Pa.
D. A person with lymphoma receives a dose of 35 gray in the form of gamma
radiation during a course of radiotherapy. Most of this dose is absorbed in 18
grams of cancerous lymphatic tissue.
i. How much energy is absorbed by the cancerous tissue?
ii. If this treatment consists of five 15-minute sessions per week over the
course of 5 weeks and just one percent of the gamma photons in the
gamma ray beam are absorbed, what is the power of the gamma ray
beam?
iii. If the gamma ray beam consists of just 0.5 percent of the photons
emitted by the gamma source, each of which has an energy of 0.03
MeV, what is the activity, in Curies, of the gamma ray source?
E. A water heater that is connected across the terminals of a 15.0 V power supply
is able to heat 250 ml of water from room temperature of 25°C to boiling point
in 45.0 secs. What is the resistance of the heater? The density of water is 1,000
kg/m2 and the specific heat capacity of water is 4,200 J/kg/°C.
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