Which of the following co71. 1rly,ot6q n/mkj mix rclx;3ogw 9uld be a unit of power?

  By approximately how many powers of ten yl6(0xy- p*szyrng/k is the height of a human larger than the height of a grain ozy l xs-p/y0gyn(6 *rkf sand?

  What is the value of0 -*chea3tmqi ev1vi7 $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following i753m+2 tlwgienh *wzxs a fundamental unit in the SI system?

  The volume of the Earth is appwu;)eyjhfzrs1;hqcq5tc 2 246sz 0nmroximately $10^{12} \mathrm{~km}^3$ and the volume of a grain of sand is approximately $1 \mathrm{~mm}^3$. To the nearest order of magnitude, if the Earth was hollow, how many grains of sand could it contain?

  A farmer in Tanzania has an average life expectancy of 62 years. Which of the following is an estimate of his lifetime in seconds?

  Estimate, to the nearest order of magnitudemf-h1-v:jr 7c xmw 0kj, the number of heartbeats of an average adj-w c j1r70m vmk-xh:fult human in a day.

  Which of the following contains one fundamental unit and mwsx 554:dysyone derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the)ns( 4 rimmw y hloa0y;1pn;i j9kk+)n most decimal plphj+1 m;;n n)w(0k)ay4lknrys iim o9aces?

  A car has a mass of 1000kg. A mousedek622oq v6o s has a mass of 10g. What is the order of magnitude of o6k6dqs2eo2 vthe ratio between the mass of the car to that of the mouse?

  A train travels $33.5 \pm 0.4$ meters in $14.961 \pm 0.05$ seconds. What is the absolute uncertainty in its speed?  (数值)  (Leave your answer to two significant figures, without units and without the $\pm$ symbol.)

  A water tank is the shape of a c7ej p-zph mx8(ube with sides of $1.85 \mathrm{~m}$. Each side is measured with an uncertainty of $2.4 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (Give your answer without a unit and to 2 significant figures)

  A pyramid has a square base of side:v wb8e .ui9c gu4m-d xeesv0- $x$ and height $h$. The volume $V$ of the pyramid is given by the expression:
$$V=\frac{x^2 h}{3}$$
If $V$ is measured to $4.7 \%$ and $h$ is measured to $1 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured usintlpwq:0 mjo , vt/.p++wr)nlpg part of a metre rule that is graduated i pllw+tt vqpr0.nm):,pj /+w on millimetres, as shown below.

What is the length of the pencil?

  The volume $V$ of a cone of height $h$ and radius $r$ is given by the expression:
$$V=\frac{\pi r^2 h}{3}$$
In a particular experiment, there is a $4.8 \% $ uncertainty in $V$ and a $1.6 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a balloon is measured to be a7mvj ht2po+0m: n6ds$19.5 \pm 0.8 \; cm$. What is the percentage uncertainty in the calculated volume of the balloon?  (数值) % (Remember to keep three significant figures and exclude the $\%$ symbol with your answer and treat the balloon as a sphere)

  The period $T$ of oscillation of a pendulum of length $l$ is given by:
$$T=2 \pi \sqrt{\frac{l}{g}} .$$
If the uncertainty in $g$ is $1.5 \%$ and the uncertainty in $l$ is $3.5 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (only fill in numerical value without the % sign and keep two significant figures)

  The lengths of the sides of a room are estimat 02sw6sj lzz(1 cjrlj 6b2kj;ted as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 9 \%$. What is the absolute uncertainty in the volume of the room?  (数值)  $m^3$ (Give your answer in $\mathrm{m}^3$ to two significant figures, without a unit.)

  The potential differcua 8jj*ld ly xf7+xudmg*:. 0ence ($V$) across a resistor is measured with a digital voltmeter to be $0.72 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (only put numerical values in the blank and keep two significant figures.)

  By averaging three measurements of the same quantity whicho9o,j k +evn(y of the following can be redu jo,y(n ovke+9ced?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 il 02(cm v5a+*cfwwfmcm, 38.1 cm, 38.2 cm. What is the bes 5mi+ l cf*w2wvfm(ca0t estimate of this measurement?

  A student measures two lengt.(re5ry uw2;xl:/ka4m phy: cpxst+ths as follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two eve venbz zplc9(6;hq m/*nts, a and b, are measured to be $(5.1 \pm 0.1)s$ and $(4.9 \pm 0.1)s$ respectively. In which of the following quantities is the fractional(percent) uncertainty the smallest?

  The variation of quantity P as quantity3acqz w7os-*.j2 igig Q varies is plotted. Theory states that P should vary lineaj3w-o2. *igsc q zga7irly with Q.

  The length of a pencil is measured using part of a measuring taplu31a.)jx u-o l(l frwe as shown beloww )lf .r3u(lul-ojxa1.

What is the length of the pencil?

  The masses and weights of different objects are independently measured. The gmhbxs+j r 5c*65(afh traph is a plot of weight versus mass that includes error bars.+hja5m rx*5(6csh btf

What do these experimental results suggest?

  The resistance $R$, and cross-sectional area $A$, of equal lengths of wire are measured at constant temperature and a graph of $R$ against $\frac{1}{A}$ is plotted. Which one of the following graphs would be obtained if $R$ is directly proportional to $\frac{1}{A}$ and if there is a significant systematic error in the measurement of $R ?$

  The lengths of the sides of a rectangular plate are measured, and the dpm-w. 2ii : (by5slsy ;vq,ypniagram shows swy5m ,vi2pn slb :y-iy (;.pqthe measured values with their uncertainties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

  The density of a solid sphercdap5j4 v 6uq8 o)qd-le is measured with percentage uncertainty of 4%. The radius of the sphere is 4.0 ± 0.2 cm. What ispd6)4 5cavl-u q8jqdo the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown thatxa u13 j(uip bfzwr) (y5b3(th:
$$
P=\frac{g h^2}{u^3}
$$
where $g$ is a constant. If the percentage uncertainties in $h$ and $u$ are $a$ and $b$ respectively, what is the percentage uncertainty in $P ?$

  An experiment used to mpqcws /-wsy d.)xux.9easure the acceleration due to gravity produces the following res w)xd-./ pw 9cxyssu.qults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
Which of the following statements is true about these data?
Are there random or systematic errors, both, or neither?
(Acceleration due to gravity, $g$, on Earth is usually taken as $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

  A rectangle was drawn using a1zvq7gthgzr . 76+b cvpzczo :(oc60e ruler, such that each measurement has an uncertainty of cz61og.:o 6g(hcp+ cbz077qezvvrz t$0.5 \mathrm{~cm} .$

What is the absolute uncertainty in the area of the entire rectangle (i.e. combined small and big rectangles), in $\mathrm{cm}^2$ ?    $cm^2$ (Do not write units with the answer. Give your answer to 2 significant figures.)

  For an object of mas w mle6ml-e4j//4e qy* ndqy4ps $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.9 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

  An ammeter has a non-negligible mr,ty/ze59rz zero offset error. Which of the following statements is correctmrerz/ ,5yt z9?

  A student measures a length five times. All of t f4+z ug4qvspv px18f-he measurements lie between $18.8 \mathrm{~cm}$ and $19.2 \mathrm{~cm}$. What should the student quote as the absolute uncertainty in the length? The absolute uncertainty is    $cm$ (Do not include the $\pm$ symbol nor the unit)

  A piece of string 9.5 ± 0.5 cm long is cut from a vydb1x:ylk r llf9d(b6d vbe/9el0 ,xu f1+t0 longer piece that is 12.6 ± 0.4 cm long. Hrtv bl6v1 ke1xe9 y yfx0ub:ld0(d9lfb/, d+low long is the remaining piece of string?

  A current of value $I$ flows through a resistor of resistance $R$ and the power dissipated is $I^2 R$. The value of $I$ has an uncertainty of $\pm 2 \%$ and the value of $R$ has an uncertainty of $\pm 4 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (Give your answer correct to two significant figures without the % sign.)

  A force of 10.0 ± 1.2db3r0,ea p g0d N is applied to a mass of 2.0 ± 0.14 kg, causing it to accelerate. What is the percentage uncertainty of i03 dgadr, b0epts acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle :c qd2dz 6bma8of wire is measured to be 10.0 ± 0.8 cm.
What is the percentage error in the area of the loop?  (数值) %
What is the percentage error in the circumference of the loop?  (数值) %