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13. oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
The effective spring constant of two spring system as shown in figure will be
  • ✓
    ${K_1} + {K_2}$
  • B
    ${K_1}{K_2}/{K_1} + {K_2}$
  • C
    ${K_1} - {K_2}$
  • D
    ${K_1}{K_2}/{K_1} - {K_2}$
✓

Answer

Correct option: A.
${K_1} + {K_2}$
a
(a)When external force is applied, one spring gets extended and another one gets contracted by the same distance hence force due to two springs act in same direction.

i.e. $F = {F_1} + {F_2}$

==> $ - \,kx = - \,{k_1}x - {k_2}x$

$\Rightarrow $$k = {k_1} + {k_2}$

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