Question
A small drop of mercury oscillates simple harmonically inside a watch glass whose radius of curvature is $2.5 m$. Find the period of the motion. $\left[ g =9.8 m / s ^2\right.$ ]

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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

Explain the phenomenon of surface tension on the basis of molecular theory.
Four long parallel wires are arranged at the four comers of a square ABCD of side 20 cm. Each wire carries a current of 5 A. Currents in the conductors 1 and 2, at comers A and B, are out of the page while those in the conductors 3 and 4, at comers C and D, are into the page. What is the magnitude of the magnetic induction at the centre of the square?
A potentiometer wire, of length $4 m$ and resistance $8 \Omega$ is connected in series with a battery of emf $2 V$ and negligible internal resistance. If the emf of the cell balances against a length of $217 cm$ of the potentiometer wire, find the emf of the cell. When the cell is shunted by a resistance of $15 \Omega$, the balancing length is reduced by $17 cm$. Find the internal resistance of the cell.
A cylinder filled with hydrogen at $400 \mathrm{~K}$ exerts a pressure of 3 atmospheres. If hydrogen is replaced by an equal mass of helium at the same temperature, find the
(i) relative number of molecules of hydrogen and helium occupying the cylinder
(ii) pressure exerted by helium. (Molar mass of hydrogen $=2 \mathrm{~g} / \mathrm{mol}$, molar mass of helium = $4 \mathrm{~g} / \mathrm{mol})$
Give one example each of a diamagnetic material and a paramagnetic material.
Assuming the expression for the kinetic energy of a body rolling on a plane surface without slipping, deduce the expression for the total kinetic energy of rolling motion for
(i) a ring
(ii) a disk
(iii) a hollow sphere. Also, find the ratio of rotational kinetic energy to total kinetic energy for each body.
A proton is released from rest in vacuum in a uniform electric field of intensity $100 V / m$. What is its speed after it has travelled a distance of $1 m \ ?\ [m _{ p }=1.67 \times 10^{-27} \ kg , 1 eV =1.6 \times  \left.10^{-19} J \right]$
Energy is emitted from a hole in an electric furnace at the rate of $20 W$, when the temperature of the furnace is $727^{\circ} C$. What is the area of the hole? (Take Stefan's constant $\sigma$ to be $5.7 \times 10^{-8} J s ^{-1} m ^{-2} K ^{-4}$ )
A pipe closed at one end can produce overtones at frequencies $640\ Hz, 896\ Hz$ and $1152\ Hz.$ Calculate the fundamental
frequency.
What are the electric potentials outside and inside a charged spherical conductor in electro static equilibrium?