MCQ
A ring whose diameter is $1\ meter$, oscillates simple harmonically in a vertical plane about a nail fixed at its circumference. The time period will be ....... $\sec$.
  • A
    $1/4$
  • B
    $1/2$
  • C
    $1$
  •  $2$

Answer

Correct option: D.
 $2$
d
$T = 2\pi \sqrt {\frac{{2R}}{g}} $$ = 2\pi \sqrt {\frac{1}{g}} $= $2\ sec$             

[As diameter $2R = 1$ $meter$ given]

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

Pressure versus temperature graph of an ideal gas is as shown in figure. Density of the gas at point $A$ is ${\rho _0}$. Density at point $B$ will be
One end of a Nichrome wire of length $2\,L$ and cross-sectional area $A$ is attatched to an end of another Nichrome wire of length $L$ and cross-sectional area $2\,A$. If the free end of the longer wire is at an electric potential of $8.0$ $\mathrm{volts}$, and the free end of the shorter wire is at an electric potential of $1.0$ $\mathrm{volt}$, the potential at the junction of the two wires is equal to ............. $V$
Two identical particles each of mass $m$ go round a circle of radius $a$ under the action of their mutual gravitational attraction. The angular speed of each particle will be
$2\;gm$ of steam condenses when passed through $40gm$ of water initially at $25^oC.$ The condensation of steam raises the temperature of water to $54.3^oC.$ What is the latent heat of steam ........... $cal/g$
A parallel plate capacitor $\mathrm{C}$ with plates of unit area and separation $\mathrm{d}$ is filled with a liquid of dielectric constant $\mathrm{K}=2$. The level of liquid is $\frac{\mathrm{d}}{3}$ initially. Suppose the liquid level decreases at a constant speed $V,$ the time constant as a function of time $t$ is Figure: $Image$
If a solid sphere of mass $5\,kg$ and a disc of mass $4\,kg$ have the same radius. Then the ratio of moment of inertia of the disc about a tangent in its plane to the moment of inertia of the sphere about its tangent will be $\frac{x}{7}$. The value of $x$ is $.........$
At a given temperature the ratio of $r.m.s.$ velocities of hydrogen molecule and helium atom will be
If an electron enters a magnetic field with its velocity pointing in the same direction as the magnetic field, then
Which of the following is dimensionally correct
The momentum $p$ of an object varies with time $(t)$ as shown in figure. The corresponding force $(F)$-time $(t)$ graph is