The length of a seconds pendulum is .... $cm$
Easy
Download our app for free and get startedPlay store
(b )$T = 2\pi \sqrt {l/g} $

$\Rightarrow l = \frac{{g{T^2}}}{{4{\pi ^2}}} = \frac{{9.8 \times 4}}{{4 \times {\pi ^2}}} = 99\;cm$

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 identical springs of spring constant $'2k'$ are attached to a block of mass $m$ and to fixed support (see figure). When the mass is displaced from equilibrium position on either side, it executes simple harmonic motion. The time period of oscillations of this sytem is ...... .
    View Solution
  • 2
    A particle of mass $m$ executes simple harmonic motion with amplitude $a$ and frequency $v$. The average kinetic energy during its motion from the position of equilibrium to the end is
    View Solution
  • 3
    Two particles executing $S.H.M.$ of same frequency, meet at $x=+A / 2$, while moving in opposite directions. Phase difference between the particles is .........
    View Solution
  • 4
    If a spring of stiffness $k$ is cut into two parts $A$ and $B$ of length $l_{A}: l_{B}=2: 3$, then the stiffness of spring $A$ is given by
    View Solution
  • 5
    Two equations of two $S.H.M.$ are $y = a\sin \,(\omega \,t - \alpha )$ and $y = b\cos (\omega \,t - \alpha )$. The phase difference between the two is .... $^o$
    View Solution
  • 6
    A pendulum is suspended by a string of length $250\,cm$. The mass of the bob of the pendulum is $200\,g$. The bob is pulled aside until the string is at $60^{\circ}$ with vertical as shown in the figure. After releasing the bob. the maximum velocity attained by the bob will be________ $ms ^{-1}$. (if $g=10\,m / s ^{2}$ )
    View Solution
  • 7
    A mass $m$ attached to a spring oscillates every $2\, sec$. If the mass is increased by $2 \,kg$, then time-period increases by $1\, sec$. The initial mass is ..... $kg$
    View Solution
  • 8
    The velocity of a particle performing simple harmonic motion, when it passes through its mean position is
    View Solution
  • 9
    Four simple harmonic vibrations:

    ${y_1} = 8\,\cos\, \omega t;\,{y_2} = 4\,\cos \,\left( {\omega t + \frac{\pi }{2}} \right)$ ; 

    ${y_3} = 2\cos \,\left( {\omega t + \pi } \right);\,{y_4} = \,\cos \,\left( {\omega t + \frac{{3\pi }}{2}} \right)$ , 

    are superposed on each other. The resulting amplitude and phase are respectively;

    View Solution
  • 10
    A simple harmonic oscillator of angular frequency $2\,rad\,s^{-1}$ is acted upon by an external force $F = sin\,t\,N .$ If the oscillator is at rest in its equilibrium position at $t = 0,$ its position at later times is proportional to
    View Solution