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A spring of force constant k is cut into...

A spring of force constant k is cut into two pieces whose lengths are in the ratio 1:2. The force constant of the longer piece?

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`(3K)/(2)`
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Knowledge Check

  • Assertion A spring of force constatn k is cut in to two piece having lengths in the ratio 1:2 The force constant of series combination of the two parts is (3k)/(2) The spring connected in series are represented by k=k_(1)+k_(2)

    A
    Both assertion and reson are true and reason is the correct explanation of assertion
    B
    Both assetion and reason are true but reason is not the correct explanation of assertion
    C
    Assertion is true but reason is false
    D
    Both assetion and reason are flase

  • A spring of force constant k is cut into two parts whose lengths are in the ratio 1:2 . The two parts are now connected in parallel and a block of mass m is suspended at the end of the combined spring. The period of oscillation of block is

    A
    `2pi sqrt((2m)/(9K))`
    B
    `2pi sqrt((m)/(9K))`
    C
    `2pi sqrt((2m)/(5K))`
    D
    `2pi sqrt((m)/(5K))`

  • A spring of certain length and having spring constant k is cut into two pieces of length in a ratio 1:2 . The spring constants of the two pieces are in a ratio :

    A
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    B
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    C
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    D
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