Question

An object with a mass M is suspended from an elastic spring with a spring constant k. The object oscillates with period T. If the mass of oscillations is quadrupled, how it will change the period of oscillations?

• A. The period is increased by factor two
• B. The period is increased by factor four
• C. The period is decreased by factor two
• D. The period remains the same

Answer 1

The correct option is A The period is increased by factor two

The time period of oscillations is given by the formula $T=2\pi \sqrt{(}\frac{M}{K})$

If the mass is quadrupled (i.e 4M), then time period becomes doubled