SHM - Pendulum and Mass on a spring

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Homework Statement
The time period of oscillation of a simple pendulum of length l is the same as the time period of oscillation of a mass M attached to a vertical spring. The length and mass are then changed. Which row, A to D (see attachment), in the table would give a simple pendulum with a time period twice that of the spring oscillations?
Relevant Equations
T = 2π√(l/g): Mass on a pendulum
T = 2π√(m/k): Mass on a spring
I have only be able to write something like:

2x(2π√(l/g)) = 2π√(m/k)
2π is a constant therefore; 2x(√(l/g)) = √(m/k)
You could square both sides; 2^2x(l/g) = (m/k)

But now I'm lost as to how to proceed.

PS- Book answer is B

Thanks
 
Attachments
  • Multiple-choice table, question 54 on simple pendulum and spring oscillation. Rows A to D give new pendulum length (2l, 2l, l/2, l/2) and new mass on spring (2M, M/2, 2M, M/2).
    2023-07-25 19 20 39.png
    49 KB · Views: 151
Shaye said:
2x(2π√(l/g)) = 2π√(m/k)
Does this look right to you? It says
2*(Pendulum period) = (Spring mass period)
If a father's age is twice that of his son's age, would you write
2*(father' age) = (son's age) ?

Aside from that, I would recommend that you write the new periods using different symbols for the changed length and mass and then take ratios for the periods cancelling quantities that remain unchanged.