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13. oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations (i), (ii) and (iii) are in the ratio
  • ✓
    $1:\sqrt 2 :\frac{1}{{\sqrt 2 }}$
  • B
    $2:\sqrt 2 :\frac{1}{{\sqrt 2 }}$
  • C
    $\frac{1}{{\sqrt 2 }}:2:1$
  • D
    $2:\frac{1}{{\sqrt 2 }}:1$
✓

Answer

Correct option: A.
$1:\sqrt 2 :\frac{1}{{\sqrt 2 }}$
a
(a) $T \propto \frac{1}{{\sqrt k }}$

==> ${T_1}:{T_2}:{T_3} = \frac{1}{{\sqrt k }}:\frac{1}{{\sqrt {k/2} }}:\frac{1}{{\sqrt {2k} }} = 1:\sqrt 2 :\frac{1}{{\sqrt 2 }}$

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