Physics-
General
Easy

Question

A mass m is suspended by means of two coiled spring which have the same length in unstretched condition as in figure. Their force constant are k1 and k2 respectively. When set into vertical vibrations, the period will be

  1. 2 pi square root of open parentheses fraction numerator m over denominator k subscript 1 end subscript k subscript 2 end subscript end fraction close parentheses end root    
  2. 2 pi square root of m open parentheses fraction numerator k subscript 1 end subscript over denominator k subscript 2 end subscript end fraction close parentheses end root    
  3. 2 pi square root of open parentheses fraction numerator m over denominator k subscript 1 end subscript minus k subscript 2 end subscript end fraction close parentheses end root    
  4. 2 pi square root of open parentheses fraction numerator m over denominator k subscript 1 end subscript plus k subscript 2 end subscript end fraction close parentheses end root    

The correct answer is: 2 pi square root of open parentheses fraction numerator m over denominator k subscript 1 end subscript plus k subscript 2 end subscript end fraction close parentheses end root


    Given spring system has parallel combination, so
    k subscript e q end subscript equals k subscript 1 end subscript plus k subscript 2 end subscript and time period T equals 2 pi square root of fraction numerator m over denominator left parenthesis k subscript 1 end subscript plus k subscript 2 end subscript right parenthesis end fraction end root

    Related Questions to study

    General
    Physics-

    What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of 10cm (g = 9.8 m/s2)

    What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of 10cm (g = 9.8 m/s2)

    Physics-General
    General
    Physics-

    A pendulum of length 2m lift at P. When it reaches Q, it losses 10% of its total energy due to air resistance. The velocity at Q is

    A pendulum of length 2m lift at P. When it reaches Q, it losses 10% of its total energy due to air resistance. The velocity at Q is

    Physics-General
    General
    Physics-

    A simple pendulum with a bob of mass ‘m’ oscillates from A to C and back to A such that PB is H. If the acceleration due to gravity is ‘g’, then the velocity of the bob as it passes through B is

    A simple pendulum with a bob of mass ‘m’ oscillates from A to C and back to A such that PB is H. If the acceleration due to gravity is ‘g’, then the velocity of the bob as it passes through B is

    Physics-General
    parallel
    General
    Physics-

    A man measures the period of a simple pendulum inside a stationary lift and finds it to be T sec. If the lift accelerates upwards with an acceleration g divided by 4, then the period of the pendulum will be

    A man measures the period of a simple pendulum inside a stationary lift and finds it to be T sec. If the lift accelerates upwards with an acceleration g divided by 4, then the period of the pendulum will be

    Physics-General
    General
    Physics-

    The period of oscillation of a simple pendulum of constant length at earth surface is T. Its period inside a mine is

    The period of oscillation of a simple pendulum of constant length at earth surface is T. Its period inside a mine is

    Physics-General
    General
    Physics-

    Which of the following is the nm = T graph for a perfectly black body (nm =maximum frequency of radiation)

    Which of the following is the nm = T graph for a perfectly black body (nm =maximum frequency of radiation)

    Physics-General
    parallel
    General
    Physics-

    In the figure, the distribution of energy density of the radiation emitted by a black body at a given temperature is shown. The possible temperature of the black body is

    In the figure, the distribution of energy density of the radiation emitted by a black body at a given temperature is shown. The possible temperature of the black body is

    Physics-General
    General
    Physics-

    Radius of a conductor increases uniformly from left end to right end as shown in fig.

    Material of the conductor is isotropic and its curved surface is thermally isolated from surrounding. Its ends are maintained at temperatures T1 and T2 (T1 > T2): If, in steady state, heat flow rate is equal to H, then which of the following graphs is correct

    Radius of a conductor increases uniformly from left end to right end as shown in fig.

    Material of the conductor is isotropic and its curved surface is thermally isolated from surrounding. Its ends are maintained at temperatures T1 and T2 (T1 > T2): If, in steady state, heat flow rate is equal to H, then which of the following graphs is correct

    Physics-General
    General
    Chemistry-

    The IUPAC name of  

    The IUPAC name of  

    Chemistry-General
    parallel
    General
    Chemistry-

    The order of stability of the following cabocations   is

    The order of stability of the following cabocations   is

    Chemistry-General
    General
    Chemistry-

    IUPAC name of the compound is

    IUPAC name of the compound is

    Chemistry-General
    General
    Chemistry-

    The IUPAC name of   is

    The IUPAC name of   is

    Chemistry-General
    parallel
    General
    Chemistry-

    IUPAC name of the compound  is

    IUPAC name of the compound  is

    Chemistry-General
    General
    Chemistry-

    The IUPAC name of the given structure

    The IUPAC name of the given structure

    Chemistry-General
    General
    Chemistry-

    The IUPAC name of  is

    The IUPAC name of  is

    Chemistry-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.