MHT CET 2024 Physics question
A spring has a certain mass suspended from it and its period of vertical oscillations is T. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now T. The ratio of T/T is
Answer: (B)
Solution
The period of a spring-mass system is . The spring constant of a spring is inversely proportional to its length (), because a shorter piece is stiffer. Cutting the spring into two equal halves doubles the spring constant: . For the same
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