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One-fourth length of a spring of force constant K is cut away. The force constant of the remaining spring will be
- a)3 K/4
- b)4 K/3
- c)K
- d)4K
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
One-fourth length of a spring of force constant K is cut away. The for...
Solution:
Given, a spring of force constant K is cut into one-fourth length.
Let the original length of the spring be L and its force constant be K.
So, the new length of the spring will be L/4 and its force constant will be k'.
We know that the force constant of a spring is inversely proportional to its length, i.e., K ∝ 1/L.
Using this relation, we can find the new force constant k' as follows:
k' ∝ 1/(L/4)
k' ∝ 4/L
k' = 4K (as L and K are constants)
Therefore, the force constant of the remaining spring is 4K.
Hence, option B is the correct answer.
Given, a spring of force constant K is cut into one-fourth length.
Let the original length of the spring be L and its force constant be K.
So, the new length of the spring will be L/4 and its force constant will be k'.
We know that the force constant of a spring is inversely proportional to its length, i.e., K ∝ 1/L.
Using this relation, we can find the new force constant k' as follows:
k' ∝ 1/(L/4)
k' ∝ 4/L
k' = 4K (as L and K are constants)
Therefore, the force constant of the remaining spring is 4K.
Hence, option B is the correct answer.
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One-fourth length of a spring of force constant K is cut away. The force constant of the remaining spring will bea)3 K/4b)4 K/3c)Kd)4KCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about One-fourth length of a spring of force constant K is cut away. The force constant of the remaining spring will bea)3 K/4b)4 K/3c)Kd)4KCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One-fourth length of a spring of force constant K is cut away. The force constant of the remaining spring will bea)3 K/4b)4 K/3c)Kd)4KCorrect answer is option 'B'. Can you explain this answer?.
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