In a experiment to measure the height of a br | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$s = {v_o}t + \frac{1}{2}a{t^2}$

$h = 0 + \frac{1}{2}(9.8){(2)^2} = 19.6\,m$

$\frac{{\Delta h}}{h} =  \pm 2\left( {\frac{{\Delta t}}{t}} \r

Vedclass · Accepted Answer

$1.96$

Vedclass · Answer

$s = {v_o}t + \frac{1}{2}a{t^2}$

$h = 0 + \frac{1}{2}(9.8){(2)^2} = 19.6\,m$

$\frac{{\Delta h}}{h} =  \pm 2\left( {\frac{{\Delta t}}{t}} ight)$ $(\because {a = g}$ constant$)$   

$ =  \pm 2\left( {\frac{{0.1}}{2}} ight) =  \pm 0.1\,$

$	herefore \Delta h=  \pm \frac{h}{{10}} =  \pm \frac{{19.6}}{{10}}=  \pm 1.96\,m$

In a experiment to measure the height of a bridge by dropping a stone into water underneath, if the error in the measurement of times is $0.1\;s$ at the end of $2\;s$, then the error in the estimation of the height of the bridge will be

Similar Questions

A body travels uniformly a distance of $ (13.8 \pm 0.2) m$ in a time $(4.0 \pm 0.3)\, s$. The velocity of the body within error limits is

The temperature of a metal coin is increased by $100^{\circ} C$ and its diameter increases by $0.15 \%$. Its area increases by nearly

The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are $4\%$ and $3\%$ respectively, the maximum error in the measurement of density will be ........ $\%$

$Assertion$ : When percentage errors in the measurement of mass and velocity are $1\%$ and $2\%$ respectively, the percentage error in $K.E.$ is $5\%$.

$Reason$ : $\frac{{\Delta E}}{E} = \frac{{\Delta m}}{m} + \frac{{2\Delta v}}{v}$

A public park, in the form of a square, has an area of $(100 \pm 0.2) m ^2$. The side of park is ......... $m$