Download App

13. oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
A simple pendulum oscillating in air has period $T.$ The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is $\frac {1}{16}$ of the material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid is
  • A
    $2T\sqrt {\frac {1}{10}}$
  • B
    $2T\sqrt {\frac {1}{14}}$
  • ✓
    $4T\sqrt {\frac {1}{15}}$
  • D
    $4T\sqrt {\frac {1}{14}}$
✓

Answer

Correct option: C.
$4T\sqrt {\frac {1}{15}}$
c
For a simple pendulum $\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{L}}{\mathrm{g}_{\mathrm{err}}}}$

Situation $1$: when pendulum is in air $\rightarrow g_{\text {eff }}=g$

Situation $2$ :when pendulum is in liquid

$\rightarrow g_{e f}=g\left(1-\frac{\rho_{\text {liquid }}}{\rho_{\text {body }}}\right)=g\left(1-\frac{1}{16}\right)=\frac{15 g}{16}$

So, $\frac{\mathrm{T}^{\prime}}{\mathrm{T}}=\frac{2 \pi \sqrt{\frac{\mathrm{L}}{15 \mathrm{g} / 16}}}{2 \pi \sqrt{\frac{\mathrm{L}}{\mathrm{g}}}}$

$\Rightarrow \mathrm{T}^{\prime}=\frac{4 \mathrm{T}}{\sqrt{15}}$

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

Explore more

More "M.C.Q (1 Marks)" from 13. oscillations→13. oscillations — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The temperature of a hypothetical gas increases to $\sqrt 2 $ times when compressed adiabatically to half the volume. Its equation can be written as
→
If the earth were to cease rotating about its own axis. The increase in the value of $g$ in $C.G.S.$ system at a place of latitude of $45^o$ will be ........  $cm/sec^{2}$.
→
In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature; $T _3 > T _2 > T _1$ as :
→
The work done on a particle of mass $m$ by a force, $k\left[\frac{x}{\left(x^2+y^2\right)^{3 / 2}} \hat{i}+\frac{y}{\left(x^2+y^2\right)^{3 / 2}} \hat{j}\right]$ ( $K$ being a constant of appropriate dimensions), when the particle is taken from the point $(a, 0)$ to the point $(0, a )$ along a circular path of radius a about the origin in the $x$-y plane is :
→
Three particles, each of mass $m\; gram$, are situated at the vertices of an equilateral triangle $ABC$ of side $l\;cm$ (as shown in the figure). The moment of inertia of the system about a line $AX$ perpendicular to $A B$ and in the plane of $A B C,$ in $gram-cm^{2}$ units will be
→
Hydrogen gas is filled in a balloon at $20^\circ C$. If temperature is made $40^\circ C$, pressure remaining same, what fraction of Hydrogen will come out
→
At a given volume and temperature, the pressure of a gas
→
Graph $A-B$ is an adiabatic curve. Choose the correct statement
→
The length of a sonometer wire is $0.75\, m$ and density $9 \times 10^3\, kg/m^3$. It can bear a stress of $8.1 \times 10^8\, N/m^2$ without exceeding the elastic limit. What is the fundamental frequency that can be produced in the wire  .... $Hz$ ?
→
A large ship can float but a steel needle sinks because of
→