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Correct option is C)

From string constraint $2X_{1}=X$ $⇒X_{1}=2X $

Total energy of the system= Kinetic energy of block + spring energy,

$⇒21 mX˙_{2}+21 KX_{1}=Constant$

Put the $X_{1}=2X $

$⇒21 mX˙_{2}+81 KX_{2}=Constant$

Differentiating the equation,

$⇒mX˙X¨+41 KXX˙=0$ $⇒mX¨+41 KX=0$ $⇒X¨=−4mK X$ $⇒X¨=−ω_{2}X$,

$⇒Angular frequencyω=4mK $

Solve any question of Oscillations with:-

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