The time period of a seconds pendulum is $2\, sec$. The spherical bob which is empty from inside has a mass $50\; gram$, this now is replaced by another solid of same radius but have different mass of $100\; gram$. The new time period will be ..... $\sec$
  • A$2$
  • B$8$
  • C$4$
  • D$1$
AIIMS 2010, Easy
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
    Two particle executing $S.H.M.$ of same amplitude of $20 \,cm$ with same period along the same line about same equilibrium position. The maximum distance between the two is $20 \,cm$. Their phase difference in radian is equal to
    View Solution
  • 2
    A particle is executing $S.H.M.$ and its velocity $v$ is related to its position $(x)$ as $v^2+a x^2=b$, where $a$ and $b$ are positive constants. The frequency of oscillation of particle is ..........
    View Solution
  • 3
    The displacement of a damped harmonic oscillator is given by $x\left( t \right) = {e^{ - 0.1\,t}}\,\cos \left( {10\pi t + \varphi } \right)$  The time taken for its amplitude of vibration to drop to half of its initial value is close to .... $s$
    View Solution
  • 4
    A mass $m$ is attached to two springs of same force constant $K$, as shown in following four arrangements. If $T_1, T_2, T_3$ and $T_4$ respectively be the time periods of oscillation in the following arrangements, in which case time period is maximum?
    View Solution
  • 5
    A body is moving in a room with a velocity of $20\, m / s$ perpendicular to the two walls separated by $5$ meters. There is no friction and the collisions with the walls are elastic. The motion of the body is
    View Solution
  • 6
    A particle of mass $m$ is moving along a trajectory given by
    $x = x_0 + a\, cos\,\omega_1 t$
    $y = y_0 + b\, sin\,\omega_2t$
    The torque, acing on the particle about the origin, at $t = 0$ is
    View Solution
  • 7
    A circular arc of mass $m$ is connected with the help of two massless strings as shown in the figuw in vertical plane. About point $P$, small oscillations are given in the plane of the arc. Time period of the oscillations of $SHM$ will be
    View Solution
  • 8
    A particle executes simple harmonic motion between $x =- A$ and $x =+ A$. If time taken by particle to go from $x=0$ to $\frac{A}{2}$ is $2 s$; then time taken by particle in going from $x =\frac{ A }{2}$ to $A$ is $.........\,s$
    View Solution
  • 9
    A simple pendulum with length  $L$ and mass $m$ of the bob is vibrating with an amplitude $A$. The maximum tension in the string is
    View Solution
  • 10
    The displacement y of a particle executing periodic motion is given by $y = 4{\cos ^2}(t/2)\sin (1000t)$. This expression may be considered to be a result of the superposition of ........... independent harmonic motions
    View Solution