The length of simple pendulum is increased by $44\%$. The percentage increase in its time period will be ..... $\%$
$44$
$22$
$20$
$11$
A simple pendulum hanging from the ceiling of a stationary lift has a time period $T_1$. When the lift moves downward with constant velocity, the time period is $T_2$, then
A chimpanzee swinging on a swing in a sitting position, stands up suddenly, the time period will
In an experiment for determining the gravitational acceleration $g$ of a place with the help of a simple pendulum, the measured time period square is plotted against the string length of the pendulum in the figure. What is the value of $g$ at the place? ...... $m/s^2$
In the following table relation of graph in column$-I$ and shape of graph in column$-II$ is shown match them appropriately.
column$-I$ | column $-II$ |
$(a)$ ${T^2} \to l$ | $(i)$ Linear |
$(b)$ ${T^2} \to g$ | $(ii)$ Parabolic |
$(c)$ ${T} \to l$ | $(iii)$ Hyperbolic |
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 ?