Home Physics Newton's Laws of Motion JEE Main 2026 A spring of force constant is cut into two …
Physics Newton's Laws of Motion JEE Main 2026 MCQ (Single Correct)

A spring of force constant is cut into two pieces. If the ratio of their length is , then the force constant of smaller piece is N/m.

A
60
B
15
C
20
D
45

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Verified by Experts
The correct answer is:
A

Spring force constant is inversely proportional to length:

So constant for a given spring material and structure.
Original spring: , length .
Smaller piece has length (since length ratio is 1:3, smaller is of total).

For smaller piece:

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