A simple pendulum is suspended in a lift which is going up with a… - Vidyadip

Question

A simple pendulum is suspended in a lift which is going up with an acceleration $5\ m/s^2$. An electric field of magnitude $5 \ N/C$ and directed vertically upward is also present in the lift. The charge of the bob is $1\ mC$ and mass is $1\ mg$. Taking $g = \pi^2$ and length of the simple pendulum $1\ m$, the time period of the simple pendulum is ......$s$

✓

Answer

$\mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{g}_{\mathrm{eff}}}}$

$\mathrm{g}_{\mathrm{eff}}=\mathrm{g}-\frac{\mathrm{q} \in}{\mathrm{M}}+5$

$=15-\frac{1 \times 5 \times 10^{-6}}{1 \times 10^{-6}}$

$\mathrm{g}_{\mathrm{eff}}=10=\pi^{2}$

$\mathrm{T}=2 \mathrm{\,sec}$

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

NEET STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If a ball of steel (density $\rho=7.8 \;gcm ^{-3}$) attains a terminal velocity of $10 \;cms ^{-1}$ when falling in a tank of water (coefficient of viscosity $\eta_{\text {water }}=8.5 \times 10^{-4} \;Pa - s$ ) then its terminal velocity in glycerine $\left(\rho=12 gcm ^{-3}, \eta=13.2\right)$ would be nearly

A body of mass $2 \,kg$ is kept by pressing to a vertical wall by a force of $100\, N$. The coefficient of friction between wall and body is $0.3.$ Then the frictional force is equal to ........ $N$

In $p-$ type semiconductor, the major charge carriers are

The temperature of sun is $5500 K$ and it emits maximum intensity radiation in the yellow region $(5.5 \times {10^{ - 7}}m)$. The maximum radiation from a furnace occurs at wavelength $11 \times {10^{ - 7}}m.$The temperature of furnace is ....... $K$

Two unknown compounds $X$ and $Y$, both having molecular formula $C_4 H_8O$ give following results with four chemical tests.

	Bromine	$Na$ metal	Chromic acid	Lucas reagent
Compound $X$	decolourises	bubbles	Orange to Green	No reaction
Compound $Y$	No reaction	No reaction	No reaction	No reaction

Compound $X$ and $Y$ respectively are

In a triode valve the amplification factor is $20$ and mutual conductance is $10^{-3}$ mho. The plate resistance is

The lowest resistance which can be obtained by connecting $10$ resistors each of $1/10$ $ohm$ is

Three equal charges $+q$ are placed at the three vertices of an equilateral triangle centred at the origin. They are held in equilibrium by a restoring force of magnitude $F(r)=k r$ directed towards the origin, where $k$ is a constant. What is the distance of the three charges from the origin?

There is small hole in a hollow sphere. The water enters in it when it is taken to a depth of $40 \,cm$ under water. The surface tension of water is $0.07 \,N / m$. The diameter of hole is .......... $mm$

When strain is produced in a body within elastic limit, its internal energy