Answer
a. No
b. Yes
Work Step by Step
a. A beam of many IR photons can contain more energy than a beam of relatively fewer UV photons. Though an individual UV photon has more energy than an individual IR photon, because E = hf and UV light has a higher frequency.
b. An individual UV photon always has more energy than an individual IR photon, because E = hf and UV light has a higher frequency.