Download App

STD 11 - 1. units,dimensions and measurement — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 1. units,dimensions and measurement4 Marks
Question
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
✓

Answer

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

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

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

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

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

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

Using a nuclear counter the count rate of emitted particles from a radioactive source is measured. At $t = 0$ it was $1600$ counts per second and $t = 8\, seconds$ it was $100$ counts per second. The count rate observed, as counts per second, at $t = 6\, seconds$ is close to
→
A solid sphere of uniform density and radius $4$ units is located with its centre at the origin $O$ of coordinates. Two spheres of equal radii $1$ unit with their centres at $A(-2, 0, 0)$ and $B(2, 0, 0)$ respectively are taken out of the solid leaving behind spherical cavities as shown in figure
→
A gardener holds a hosepipe through which water is gushing out at a rate of $4\,kg\, s^{-1}$ with speed $2\, ms^{-1}$. The moment the speed of water is increased to $3\, ms^{-1}$, the gardener will experience a jerk of
→
Young's double slit experiment is conducted in a liquid of refractive index $\mu _1$ as show in figure.A thin transprent slab of refractive index $\mu_2$ and thickness $t$ is placed in front of the slit $s_2$.The magnitude of optical path difference at $'O'$ is
→
A convex lens makes a real image $4 cm$ long on a screen. When the lens is shifted to a new position without disturbing the object, we again get a real image on the screen which is $16 cm$ tall. The length of the object must be.......$cm$
→
A potentiometer wire of length $L$ and a resistance $r$ are connected in series with a battery of e.m.f. $E_0$ and a resistance $r_1$. An unknown e.m.f. $E$ is balanced at a length $l$ of the potentiometer wire. The e.m.f. $E$ will be given by
→
If a cylinder containing a gas at high pressure explodes, the gas undergoes
→
A physical quantity $\vec{S}$ is defined as $\vec{S}=(\vec{E} \times \vec{B}) / \mu_0$, where $\vec{E}$ is electric field, $\vec{B}$ is magnetic field and $\mu_0$ is the permeability of free space. The dimensions of $\vec{S}$ are the same as the dimensions of which of the following quantity (ies)?

$(A)$ $\frac{\text { Energy }}{\text { charge } \times \text { current }}$

$(B)$ $\frac{\text { Force }}{\text { Length } \times \text { Time }}$

$(C)$ $\frac{\text { Energy }}{\text { Volume }}$

$(D)$ $\frac{\text { Power }}{\text { Area }}$

→
The displacement-time graph for two particles $A$ and $B$ are straight lines inclined at angles of ${30^o}$ and ${60^o}$ with the time axis. The ratio of velocities of ${V_A}:{V_B}$ is
→
A thief is running away on a straight road in jeep moving with a speed of $9$$m{s^{ - 1}}.$ A police man chases him on a motor cycle moving at a speed of $10$$m{s^{ - 1}}.$ If the instantaneous separation of the jeep from the motorcycle is $100\, m$, how long will it take for the police to catch the thief.......$s$
→