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A block with mass $m$ is attached to an ideal spring with spring constant $k$, as shown in the figure above. The block is pulled to the right and is then released. ​The block slides back and forth across the floor in simple harmonic motion with a period of $T_1$.

Which modification to the system should result in a period of $T_2 = 2T_1$?

A

Adding​ an identical spring in parallel to the original spring.

B

Replacing the spring with a tighter spring ($k_2 = 2k_1$).

C

Replacing the block with a block of mass $m/4$.

D

Pulling the block twice as far to the right to start the oscillation.

E

Replacing the spring with a much looser spring ($k_2=k_1/4$).

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