A pendulum has time period $T$. If it is taken on to another planet having acceleration due to gravity half and mass $ 9 $ times that of the earth then its time period on the other planet will be
$\sqrt T $
$T$
${T^{1/3}}$
$\sqrt 2 T$
A pendulum bob has a speed of $3\, {m} / {s}$ at its lowest position. The pendulum is $50 \,{cm}$ long. The speed of bob, when the length makes an angle of $60^{\circ}$ to the vertical will be $ .......\,{m} / {s}$ $\left(g=10 \,{m} / {s}^{2}\right)$
Time period of pendulum, on a satellite orbiting the earth, is
The time period of a second's pendulum is $2\, sec$. The spherical bob which is empty from inside has a mass of $50\, gm$. This is now replaced by another solid bob of same radius but having different mass of $ 100\, gm$. The new time period will be .... $\sec$
A simple pendulum of frequency $f$ has a metal bob. If bob is charged negatively and is allowed to oscillate with large positive charged plate under it, frequency will be
A simple pendulum of length $l$ and having a bob of mass $M$ is suspended in a car. The car is moving on a circular track of radius $R$ with a uniform speed $v$. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period ?