The frequency of free oscilla tions of a mathematical pendulum is 8 Hz. Wh at will be the frequency of if both the m ass of the load and the length of the thread are inc reased by 4 times? Select one answer: a. 16 Hz b. 4 Hz c. 8 Hz d.2Hz

The frequency of a mathematical pendulum is given by the formula: where is the frequency, is the acceleration due to gravity, and is the length of the pendulum.In this case, both the mass of the load and the length of the thread are increased by 4 times. However, the frequency of a pendulum is independent of its mass. Therefore, increasing the mass of the load will not affect the frequency.The length of the thread is increased by 4 times, which means becomes . Substituting this into the formula, we get: Since the original frequency is 8 Hz, the new frequency will be: Therefore, the correct answer is:b. 4 Hz