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Q.

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

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a

2πmk

b

2πm2k

c

2πm4k

d

2π2mk

answer is B.

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Detailed Solution

Reduced mass of the systemμ=(m)(m)m+m=m2∴ Time period, T=2πμk=2πm2k
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