Students want to construct a scattering experiment using a power source of 5.5 Mev alpha-particles to scatter from a gold foil. They want to be able to count 1 particle/s at 50 degrees but their detector is limited to a maximum count rate of 2000 particles/s. Their detector subtends a small angle. Will their experiment work without modifying the detector if the other angle thay want to measure is 6 degrees? Explain.