In an experiment to find acceleration due to gravity (g) using si… - Vidyadip

MCQ

In an experiment to find acceleration due to gravity $(g)$ using simple pendulum, time period of $0.5\,s$ is measured from time of $100$ oscillation with a watch of $1\;s$ resolution. If measured value of length is $10\; cm$ known to $1\; mm$ accuracy. The accuracy in the determination of $g$ is found to be $x \%$. The value of $x$ is

A
$4$
✓
$5$
C
$3$
D
$2$

✓

Answer

Correct option: B.

$5$

b
$T=2 \pi \sqrt{\frac{\ell}{g}}$

$g=\frac{1}{4 \pi^{2}} \frac{T^{2}}{\ell}$

$\frac{\Delta g}{g}=\frac{2 \Delta T }{ T }+\frac{\Delta \ell}{\ell}$

$\frac{\Delta g}{g}=2 \cdot \frac{1}{100 \times 0.5}+\frac{1\,mm }{10\,cm }$

$\frac{\Delta g}{g}=\frac{5}{100}$

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

A $4\,\mu F$ conductor is charged to $400\, volts$ and then its plates are joined through a resistance of $1\,k\Omega $. The heat produced in the resistance is ............... $J$

In $Y.D.S.E.$ using red and blue lights of wavelengths $7800\,\mathop A\limits^o $ and $5200\,\mathop A\limits^o $ $n^{th}$ red fringe coincides with $(n + 1)^{th}$ blue fringe value of $n$ is

Which does not give silver mirror with ammoniacal $AgN{O_3}$

A parallel plate capacitor has plate of length $'l',$ width $'w'$ and separation of plates is $'d'.$ It is connected to a battery of emf $V$. A dielectric slab of the same thickness '$d$' and of dielectric constant $k =4$ is being inserted between the plates of the capacitor. At what length of the slab inside plates, will be energy stored in the capacitor be two times the initial energy stored$?$

In a coil of resistance $10\,\,\Omega$, the induced current developed by changing magnetic flux through it, is shown in figure as a function of time . The magnitude of change in flux through the coil in weber is .......$Wb$

The displacements of two particles executing $S.H.M.$ on the same line are given. as $y_1=a \sin \left(\frac{\pi}{2} t+\phi\right)$ and $y_2=b \sin \left(\frac{2 \pi}{3} t+\phi\right)$. The phase difference between them at $t=1 \,s$ is .........

A point moves in a straight line so that its displacement $x\,m$ at time $t\,sec$ is given by $x^2 = 1 + t^2$. Its acceleration in $m/sec^2$ at a time $t\,sec$ is

A capacitor of capacitance $C$ is charged with the help of a $200 \,V$ battery. It is then discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity $2.5 \times 10^2 \,J / kg$ and mass $0.1 \,kg$. If the temperature of the block rises by $0.4 \,K$, the value of $C$ is

Figure shows electric field lines due to a charge configuration, from this we conclude that

Select the incorrect relation. (Where symbols have their usual meanings)