Question

The table below describes changes made to some pendulum and to a spring-mass system (increasing or decreasing certain quantities).
Which set of changes guarantees that both the period of the pendulum and the period of the spring-mass system will increase?

	A	B	C	D	E
Mass of Pendulum Bob	increase	decrease	increase	decrease	increase
Mass in Spring Mass System	increase	decrease	decrease	increase	increase
Length of Pendulum	increase	increase	increase	decrease	increase
Spring Constant	decrease	decrease	decrease	increase	increase

• A. A
• B. B
• C. C
• D. D
• E. E

Answer 1

The correct option is A A

Time period of pendulum $T_p=2\pi \sqrt{\frac{l}{g}}$

Thus time period of pendulum increases by increasing the length of the pendulum.

Time period of spring-mass system $T_s=2\pi \sqrt{\frac{M}{k}}$

Thus time period of spring-mass system increases by increasing the mass and decreasing the spring constant.

Hence option A is correct.