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Oscillations question

2004 · Q156
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Oscillations question

2004 · Q156

NEETPhysicsOscillationsMCQ+4 / −1
Two springs of spring constants k1 and k2 are joined in series. The effective spring constant of the combination is given by
  1. A
    k1k2\sqrt {{k_1}{k_2}}k1​k2​​
  2. B
    (k1 + k2)/2
  3. C
    k1 + k2
  4. D
    k1k2/(k1 + k2)
View written solutionFree

Correct answer: D

1keq=1k1+1k2⇒1keq=k1+k2k1k2{1 \over {{k_{eq}}}} = {1 \over {{k_1}}} + {1 \over {{k_2}}} \Rightarrow {1 \over {{k_{eq}}}} = {{{k_1} + {k_2}} \over {{k_1}{k_2}}}keq​1​=k1​1​+k2​1​⇒keq​1​=k1​k2​k1​+k2​​

⇒keq=k1k2k1+k2 \Rightarrow {k_{eq}} = {{{k_1}{k_2}} \over {{k_1} + {k_2}}}⇒keq​=k1​+k2​k1​k2​​

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