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[Figure: a block of mass m on a horizontal surface, joined by an identical spring of constant 2k to a fixed support on each side.] Two identical springs, each of constant 2k, join a block of mass m to fixed supports on either side. When the mass is displaced from equilibrium it executes simple harmonic motion. The time period of the oscillation is

Asked in JEE Main 25th Feb 2nd Shift 2021 · Spring combinations

• (1) π√m/(2k)
• (2) π√m/k
• (3) 2π√m/k
• (4) 2π√m/(2k)

Step-by-step solution

Why the other options are wrong

• (1) Combines the springs in series rather than in parallel.
• (3) Uses a single spring of constant k.
• (4) Uses a single spring of constant 2k, forgetting the second one.

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