MCQ
A pendulum bob on a $2\, m$ string is displaced $60^{°}$ from the vertical and then released. What is the speed of the bob as it passes through the lowest point in its path .......... $m/s$
  • A
    $\sqrt 2$
  • B
    $\sqrt {9.8}$
  • $4.43$
  • D
    $1/\sqrt 2 $

Answer

Correct option: C.
$4.43$
c
(c)$v = \sqrt {2gl(1 - \cos \theta )} = \sqrt {2 \times 9.8 \times 2(1 - \cos 60^\circ )} $$ = 4.43\,m/s$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

It is estimated that per minute each $cm^2$ of earth receives about $2\ cal (1\ cal = 4.18\ J)$ of heat  energy from the sun. This is called Solar constant. In $SI$ units the value is
Two bodies are thrown up at angles of $45^o$ and $60^o$, respectively, with the  horizontal. If both bodies attain same vertical height, then the ratio of velocities with which  these are thrown is 
The superposing waves are represented by the following equations :${y_1} = 5\sin 2\pi (10\,t - 0.1x)$, ${y_2} = 10\sin 2\pi (20\,t - 0.2x)$ Ratio of intensities $\frac{{{I_{\max }}}}{{{I_{\min }}}}$ will be
From a uniform square plate, one-fourth part is removed as shown. The centre of mass of remaining part will lie on
If a tunnel is cut at any orientation through earth, then a ball released from one end will reach the other end in time ........ $\min$ (neglect earth rotation)
A cylinder rolls up an inclined plane, reaches some height and then rolls down (without slipping throughout these motions). The directions of frictional force acting on the cylinder are:
When a $4\, kg$ mass is hung vertically on a light spring that obeys Hooke's law, the spring stretches by $2\, cms$. The work required to be done by an external agent in stretching this spring by $5\, cms$ will be ......... $joule$       $(g = 9.8\,metres/se{c^2})$
A closed bottle containing water at $30°C$ is carried to the moon in a space-ship. If it is placed on the surface of the moon, what will happen to the water as soon as the lid is opened
An incompressible fluid flows steadily through a cylindrical pipe which has radius 2R at point A and Radius R at point B farther along the flow direction. If the velocity at point A is v, its velocity at point B is:
Length of a string tied to two rigid supports is $40 cm$. Maximum length (wavelength in $cm$) of a stationary wave produced on it is ... $cm$