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Two identical springs are connected to m...

Two identical springs are connected to mass m as shown (k= spring constant) If the period of the configuration in (a) is 2S , the period of the configuration (b) is

A

` sqrt2S `

B

` 1 S `

C

` (1)/(sqrt2) S `

D

` 2 sqrt2 S `

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Knowledge Check

  • On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the spring are fixed to firm supports. If each spring has force constant k, the period of oscillation of the body (assuming the spring are massless) is

    A
    `2pi [M/(2k)]^(1/2`
    B
    `2pi [(2M)/(k)]^(1/2`
    C
    `2pi [(Mgsintheta)/(2k)]^(1/2`
    D
    `2pi [(2Mg)/(k)]^(1/2`
  • A spring of force constant k is cut into two equal parts The force constant of each part of the spring will be

    A
    `k/2`
    B
    k
    C
    2k
    D
    4k
  • A spring of force constant K is cut into two equal parts. The force constant of each part is

    A
    (A) K/2
    B
    (B) K
    C
    (C) 2K
    D
    (D) 4K
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    Two identical bodies, each of mass m, are connected by a spring having spring constant k and they are placed on a frictionless floor. The spring is compressed a little and then released. What will be the frequency of oscillation of the system?

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