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STD 11 - 13. oscillations — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 13. oscillations4 Marks
MCQ
A spring block system in horizontal oscillation has a time-period $T$. Now the spring is cut into four equal parts and the block is re-connected with one of the parts. The new time period of vertical oscillation will be
  • A
    $\frac{T}{\sqrt{2}}$
  • B
    $2 T$
  • ✓
    $\frac{T}{2}$
  • D
    $\frac{T}{2 \sqrt{2}}$
✓

Answer

Correct option: C.
$\frac{T}{2}$
c
(c)

When spring is cut into $4$ parts. The spring constant of each part will become $4 \,k$.

$T_2=2 \pi \sqrt{\frac{m}{4 k}}$

$T_2=\frac{T}{2}$

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