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A spring (spring constant = k) is cut into 4 equal parts and two parts are connected in parallel. What is the effective spring constant?

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A spring (spring constant = k) is cut into 4 equal parts and two parts are connected in parallel. What is the effective spring constant?

(a) 4k

(b) 16k

(c) 8k

(d) 6k

This question was posed to me at a job interview.

Question is from Simple Harmonic Oscillation in chapter Oscillations of Engineering Physics I

1 Answer

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Best answer
Right option is (c) 8k

The best explanation: Spring constant of each one-fourth part = 4k

When two parts are connected in parallel,

kp=4k+4k=8k.

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