Which of the following could be a unit of po) j6hurxf vp.p*vr9 t3wer?

  By approximately how many powers of ten is the height of a hu: j:o1ba8 a 085jtd9mwlmzavs man larger than the height o0 d8s8a5:1obta :mmzl 9wj avjf a grain of sand?

  What is the value of nys d r6fw,v28nc )5*jrjko x:$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamv69 9 5-nv6 nihqoon:el2d, /3;gqgx r xvotjiental unit in the SI system?

  The volume of the Earth is approxi* e;ohgvy ;h,)y;i d1yp+sa vcmately $10^{12} \mathrm{~km}^3$ 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 magnitude, the number of heartxrgd 3r38+dhe:- jdclbeats of an average adult human d+3rghdxer c ld3 -:j8in a day.

  Which of the following contains one fundamental unit andut) ik/gz4. hia* uap7 one derived unit?

  If A=10.0 and B=0.50k6;c x*chl:f p, which calculation will give the answer with the most decimal plac6clpf:k x ;ch*es?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is zx80c.,xmcyn484+(ix zbrp t gk*ip p the order of magnitude of the ratio betcb8n4 ,xt 4p +*g.(i z0 riyppkxzmxc8ween the mass of the car to that of the mouse?

  A train travels $34.6 \pm 0.3$ meters in $7.791 \pm 0.06$ 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 shaa r* g2v;pm02yjyff 1spe of a cube with sides of $2.50 \mathrm{~m}$. Each side is measured with an uncertainty of $1.6 \%$. 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 baok(,:i/acq si8h b;vf se of side $x$ 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 $8.2 \%$ and $h$ is measured to $6 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measury-j,*qazts/b.0 yy wmed using part of a metre rule that is graduated in ysyt/ -a,wzq jbm.y*0millimetres, 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 $3.3 \% $ uncertainty in $V$ and a $2.0 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ball mivne9: d .sm0gc3v1doon is measured to be $21.7 \pm 0.5 \; cm$. 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 $0.6 \%$ and the uncertainty in $l$ is $4.9 \%$, 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 estimated a/ghxg +/t rzq3s $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. 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 differ h-mczt.w: ois7xl(-mence ($V$) across a resistor is measured with a digital voltmeter to be $0.63 \; V$ . 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 which of*bo23wc tlh6mpzk3x:k)ss e , . ;afpl the following can be*,l l3smo6a ;2kfx.:b3pp wtzks )ech reduced?

  A student measures a distance four timx4-*b di *trnges. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. nb-* gx* td4irWhat is the best estimate of this measurement?

  A student measures two lengths as foll k5zwe 7 a)g2:c5.hqze95sstayi m4 wiows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and b, are me, y fsevrqkx-vl2c985 asured 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 quantity Q varies iaw2 nv5)i1ms zs plotted. Theory states that P should vary linearly2s i1v)awnzm5 with Q.

  The length of a pencil is measured using part of a measu0 6bz;hoa iez5ring tape as shown below.zo;hiz0 eba5 6

What is the length of the pencil?

  The masses and weights of diffe-j1r u) wadoq0rent objects are independently measured. The graph is a plot of weight versus mass that includes error bars. 1) ajr-dqwo0u

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 t-bq /zl ,b7cv bb3 gq+1xfwpq9he diagram shows the measured values with theiqwp/l1b3cbg-7v q+,9b q zfxb r 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 sphere is measured 0 jhtbr 5rg )s9*8cslxcj7co/with percentage uncertainty of 5%. The radius of the sphere is 3.8 ± 0.1 cm. Whajcrc 8b js5g x/cl )0trhs*9o7t is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:,9ch 3u vj3pdnt h:ofo7fpw59
$$
P=\frac{g h^2}{u^3}
$$
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 measure the acceleration due to gravity prod e0.12f-j; 5clgy- nukbqz jqxuces the followix.1jncqj2g5luk qef0 - b;y z-ng results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 a ruler, such that each measurement has an unxzp3uc cz75 mrq-/clp0 9m/rd certaint-dl0cp/ 7rmxc/ 3pzqum c5z9r y of $0.5 \mathrm{~cm} .$

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 masb*r as1ta0y9 rgg.po+s $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.3 \%$ 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-nufu tl 19h rpi749j hwmtwpk;l:l(7r -(,sy gwegligible zero offset error. Which of the following statements is -l ,kg4pp m r(u:;t7 hwrijs9(7 9l 1fhwyutwlcorrect?

  A student measures a length five times. All of the measurements lie betm naq,nd5 gw,piod i+0 (k:8fsween $18.8 \mathrm{~cm}$ 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 ±z/zu4 fqe4andlb6 n7fa7 40wk 0.2 cm long is cut from a longer piece that is 12.6 ± 0.6 c7 b ald n4fqe7/zz06wa4k un4fm long. How 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 $\pm 3 \%$ and the value of $R$ has an uncertainty of $\pm 6 \%$. 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 ± 0.6 N is applied to a mass ofz,vx0gf(co7 x 2.0 ± 0.20 kg, causing it to accelerate. What is the percent7,g(xocfzx0v age uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wibh-h cls8*-*mvz6qq 5;ov9ypzmows( / inx f9re is measured to be 10.0 ± 1.3 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) %