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13. oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
A block of mass $m$ is attached to two springs of spring constants $k_1$ and $k_2$ as shown in figure. The block is displaced by $x$ towards right and released. The velocity of the block when it is at $x/2$ will be
  • A
    $\sqrt {\frac{{\left( {{k_1} + {k_2}} \right){x^2}}}{{2m}}} $
  • ✓
    $\sqrt {\frac{3}{4}\frac{{\left( {{k_1} + {k_2}} \right){x^2}}}{m}} $
  • C
    $\sqrt {\frac{{\left( {{k_1} + {k_2}} \right){x^2}}}{m}} $
  • D
    $\sqrt {\frac{{\left( {{k_1} + {k_2}} \right){x^2}}}{4m}} $
✓

Answer

Correct option: B.
$\sqrt {\frac{3}{4}\frac{{\left( {{k_1} + {k_2}} \right){x^2}}}{m}} $
b

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