AIIMS2019Physics-Mechanics

AIIMS 2019 Physics Spring Force MCQ Question

Type: MCQ-conceptual-Medium-Class 11

Two springs of force constants 300 N/m300\text{ N/m} (Spring A) and 400 N/m400\text{ N/m} (Spring B) are joined together in series. The combination is compressed by 8.75 cm8.75\text{ cm}. The ratio of energy stored in A and B is EAEB\frac{E_A}{E_B} Then EAEB\frac{E_A}{E_B}

A

4/3

B

16/9

C

3/4

D

9/6

Correct Answer

Option C

Detailed Explanation

Option C is correct because the problem does not provide sufficient information to derive a specific equation for the forces exerted by the springs A and B. While option (A) suggests a standard spring force equation F=kxF = kx, it only applies to a single spring and does not account for the interaction between the two springs. Option (B) attempts to equate the forces from both springs but lacks clarity and proper context, making it invalid without additional information about the spring constants or the relationship between the compressions. Understanding Hooke's Law, which states that the force exerted by a spring is proportional to its compression or extension, is essential for analyzing such systems.

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