Neutron Energy - By simultaneously conserving energy and momentum, calculate the energy of the neutron emitted in the forward direction by a beam of 150 keV deuterons undergoing the D-T (deuterium-tritium) reaction in a tritium target.

Uncertainty in the Resistance - The resistance of a resistor is measured 10 times, and the values determined are 100.0, 100.9, 99.3, 99.9, 100.1, 100.2, 99.9, 100.1, 100.0, and 100.5. Calculate the uncertainty in the resistance. Please show all steps to help my understanding. Thanks.

Standard Deviation & Probability of Error - A voltmeter is used to measure a known voltage of 100 V. Forty percent of the readings are within 0.5 V of the true value. Estimate the standard deviation for the meter. What is the probability of an error of 0.75 V?

Solid Angle - Find the solid angle subtended by the circular end surface of a cylindrical detector (diameter of 10 cm) for a point source located 20 cm from the surface along the cylindrical axis. Also, assume that this detector has an intrinsic peak efficiency at 1 MeV of 12%. The point source emits a 1 MeV gamma ray in 80% of its decays and has an activity of 20 kBq. Neglecting attenuatio...

Cumulative Density Function - Show that if the value of a variable x is selected by inverting the cdf (cumulative density function), x = F^-1 (RN), the distribution of the x values is given by the function f(x). See attached file for full problem description.