Given below are two statements:

Statement $I :$ A second's pendulum has a time period of $1$ second.

Statement $II :$ It takes precisely one second to move between the two extreme positions.

In the light of the above statements, choose the correct answer from the options given below:

  • ABoth Statement $I$ and Statement $II$ are false.
  • BStatement $I$ is false but Statement $II$ is true
  • CStatement $I$ is true but Statement $II$ is false
  • DBoth Statement $I$ and Statement $II$ are true.
JEE MAIN 2021, Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    The amplitude and the periodic time of a $S.H.M.$ are $ 5\,cm$ and $6\,sec$ respectively. At a distance of $2.5\,cm$ away from the mean position, the phase will be
    View Solution
  • 2
    The total mechanical energy of a particle in $SHM$ is
    View Solution
  • 3
    Two simple harmonic motion, are represented by the equations ${y}_{1}=10 \sin \left(3 \pi {t}+\frac{\pi}{3}\right)$

    $y_{2}=5(\sin 3 \pi t+\sqrt{3} \cos 3 \pi t)$

    Ratio of amplitude of ${y}_{1}$ to ${y}_{2}={x}: 1$. The value of ${x}$ is ...... .

    View Solution
  • 4
    The length of a seconds pendulum at a height $h=2 R$ from earth surface will be.(Given: $R =$ Radius of earth and acceleration due to gravity at the surface of earth $g =\pi^{2}\,m / s ^{-2}$ )
    View Solution
  • 5
    In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic?
    View Solution
  • 6
    In arrangement given in figure, if the block of mass m is displaced, the frequency is given by
    View Solution
  • 7
    The displacement of a particle executing periodic motion is given by :
    $y = 4cos^2\,(t/2)sin\,(1000t)$
    This expression may be considered to be a result of superposition of
    View Solution
  • 8
    The angular velocities of three bodies in simple harmonic motion are ${\omega _1},\,{\omega _2},\,{\omega _3}$ with their respective amplitudes as ${A_1},\,{A_2},\,{A_3}$. If all the three bodies have same mass and velocity, then
    View Solution
  • 9
    If the particle repeats its motion after a fixed time interval of $8 \,s$ then after how much time its maximum value of $PE$ will be attained after attaining its minimum value is ........... $s$
    View Solution
  • 10
    The $K.E.$ and $P.E.$ of a particle executing $SHM$ with amplitude $A$ will be equal when its displacement is-
    View Solution