4. A mass-spring oscillating system undergoes SHM with a period T. What is the period of the system if the amplitude is doubled? A. 2T B. 4T C.T D. T/2 5. A mass-spring oscillating system undergoes SHM with a period T when it is located on Earth. What is the period of the system when it is located on Moon? A. 6T B. T/6 C.T D. sqrt (6)T

4. The period of a mass-spring oscillating system undergoing simple harmonic motion (SHM) is given by the formula T = 2π√(m/k), where m is the mass and k is the spring constant. The period of the system is independent of the amplitude of the motion. Therefore, if the amplitude is doubled, the period remains the same. So, the correct answer is C. T.<br /><br />5. The period of a mass-spring oscillating system undergoing SHM is given by the formula T = 2π√(m/k), where m is the mass and k is the spring constant. The period of the system is inversely proportional to the square root of the gravitational acceleration. The gravitational acceleration on the Moon is approximately 1/6th of that on Earth. Therefore, the period of the system when it is located on the Moon would be √6 times the period when it is located on Earth. So, the correct answer is D. √6T.