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Wave Equation

A system is s...

Question

A system is shown in the figure. The time period for small oscillations of the two blocks will be -

A

2 π \sqrt{\frac{3 m}{k}}

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B

2 π \sqrt{\frac{3 m}{4 k}}

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C

2 π \sqrt{\frac{3 m}{8 k}}

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D

2 π \sqrt{\frac{3 m}{2 k}}

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Solution

The correct option is B $2 π \sqrt{\frac{3 m}{4 k}}$
as both the springs are in series,

$2 π \sqrt{\frac{3 m}{4 k}}$

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