The metallic bob of simple pendulum has the relative density $5$. The time period of this pendulum is $10\,s$. If the metallic bob is immersed in water, then the new time period becomes $5 \sqrt{ x } s$. The value of $x$ will be.
  • A$4$
  • B$5$
  • C$3$
  • D$0$
JEE MAIN 2022, 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
    A simple pendulum oscillates in air with time period $T$ and amplitude $A$. As the time passes
    View Solution
  • 2
    $Assertion :$ In simple harmonic motion, the velocity is maximum when the acceleration is minimum.
    $Reason :$ Displacement and velocity of $S.H.M.$ differ in phase by $\frac{\pi }{2}$
    View Solution
  • 3
    Two springs of force constants $300\, N/m$ (Spring $A$) and $400\, N/m$ (Spring $B$) are joined together in series . The combination is compressed by $8.75\, cm$. The ratio of energy stored in $A$ and $B$ is  $\frac{{{E_A}}}{{{E_B}}}$.  Then $\frac{{{E_A}}}{{{E_B}}}$ is equal to
    View Solution
  • 4
    A particle executes $S.H.M.$ with a period of $6$ second and amplitude of $3\, cm$. Its maximum speed in $cm/sec$ is
    View Solution
  • 5
    A hollow sphere is filled with water through a small hole in it. It is then hung by a long thread and made to oscillate. As the water slowly flows out of the hole at the bottom, the period of oscillation will
    View Solution
  • 6
    If the period of oscillation of mass $m$ suspended from a spring is $2\, sec$, then the period of mass $4m$ will be  .... $\sec$
    View Solution
  • 7
    The displacement of a particle varies according to the relation $x = 4(cos\pi t + sin\pi t).$ The amplitude of the particle is
    View Solution
  • 8
    In case of a forced vibration, the resonance wave becomes very sharp when the
    View Solution
  • 9
    A pendulum bob is swinging in a vertical plane such that its angular amplitude is less than $90^o$. At its highest point, the string is cut. Which trajectory is possible for the bob afterwards.
    View Solution
  • 10
    A cylindrical block of density $\rho$ is partially immersed in a liquid of density $3\rho .$ The plane surface of the block remains parallel to the surface of the liquid. The height of the block is $60\, cm.$ The block performs $SHM$ when displaced from its mean position. [Use $ g = 9.8\, m/s^2$]
    View Solution