NEETPhysics-Oscillations

NEET Physics Simple Harmonic Motion MCQ Question

Type: MCQ-numerical-Medium-Class 11

Two blocks each of mass m is connected to the spring of spring constant k as shown in the figure. If the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. The time period of oscillation is

Question diagram
A

2πmk2\pi \sqrt{\frac{m}{k}}

B

2πm2k2\pi \sqrt{\frac{m}{2k}}

C

2πm4k2\pi \sqrt{\frac{m}{4k}}

D

2π2mk2\pi \sqrt{\frac{2m}{k}}

Correct Answer

Option C

Detailed Explanation

For two masses connected to a spring, the effective mass is m/2m/2. The time period is given by T=2πmeffk=2πm4kT = 2\pi \sqrt{\frac{m_{\text{eff}}}{k}} = 2\pi \sqrt{\frac{m}{4k}}.

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