AIPMT PRELIMS2004Physics-Mechanics
AIPMT PRELIMS 2004 Physics Spring Systems MCQ Question
Type: MCQ-numerical-Medium-Class 11
Two springs of spring constants k₁ and k₂ are joined in series. The effective spring constant of the combination is given by -
A
(k₁ + k₂)/2
B
k₁ + k₂
C
k₁k₂/(k₁ + k₂)
D
√k₁k₂
Correct Answer
Option C
Detailed Explanation
For springs in series, the effective spring constant is given by the reciprocal of the sum of reciprocals: 1/k = 1/k₁ + 1/k₂, which simplifies to k = k₁k₂/(k₁ + k₂).
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