Distance s travelled by a particle in time t is s=u t-frac{1}{2} ,g t^{2} . initial velocity of part

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1.Units, Dimensions and Measurement

hard

The distance $s$ travelled by a particle in time $t$ is $s=u t-\frac{1}{2} \,g t^{2}$. The initial velocity of the particle was measured to be $u=1.11 \pm 0.01 \,m / s$ and the time interval of the experiment was $t=1.01 \pm 0.1 \,s$. The acceleration was taken to be $g=9.8 \pm 0.1 \,m / s ^{2}$. With these measurements, the student estimates the total distance travelled. How should the student report the result?

$1121 \pm 0.1 \,m$

$11 \pm 0.1 \,m$

$112 \pm 0.07 \,m$

$11 \pm 0.07 \,m$

(KVPY-2017)

Solution

$(b)$ ln multiplication and division number of significant figure in result = smallest number of significant figures (as that of numbers involved in product or division).

In addition and subtraction number of significant figures $=$ smallest number of significant decimal places (as that of numbers used in sum and difference) So, from given data

So, result contains only one digit after decimal.

Standard 11

Physics