Which of the following could be a unit of powxq65s+5vg we1 ckcy)codz -6.c 4dtvger?

  By approximately how many powers of ten is the height of a human larger than thhe37l1bm)1-d2(ega ieo z0zyztdxf5 e height of a grain ofm1hzlz d(e)ta-0x og5e 7 1f2ed yi3bz sand?

  What is the value of +xvbhw skoxg+9qu2 ,9$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fuu 0e)5wm2yfek ndamental unit in the SI system?

  The volume of the Earth is approxng9g) c pe 2bpwop8hk,54sf0vimately $10^{12} \mathrm{~km}^3$ 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 hearz.zt. yth5 swm.b(jk 3tbeats of an average adult human in a day.ht (bktz y w.mj3zs.5.

  Which of the following conta bp9bzon+- 2umins one fundamental unit and one derived unit?

  If A=10.0 and B=0.50, which calculavci )a(/sfer2*f lztlq l /q.6tion will give the answer with the most decimal ll*/f(c)se6v/aqt2qz l f.r i places?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is tqvly,8kom ; h z 46mov* +pw(6befu ukzrl7/o+he order of magnitude of the ratio between the mass of the car to that of the mol6+/poo+few *mv7rkqu4ob,v m;h6 y z(ukzl8use?

  A train travels $89.6 \pm 0.3$ meters in $5.665 \pm 0.07$ 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 c 6a ( 82zevdbaii:,yxetb1 r f1:h:duof a cube with sides of $4.06 \mathrm{~m}$. Each side is measured with an uncertainty of $2.5 \%$. 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 ;avh(qrt .0lb l uh.s(base 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 $6.0 \%$ and $h$ is measured to $2 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measured using par+)lu rz d 6a+q*wl;1bzw)ye:h q ei(rut of a metre rule that is graduated in millimetres, as show+u w6;z:yr qbi+d) ql( )1earu* hwzeln 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 $4.4 \% $ uncertainty in $V$ and a $2.4 \%$ 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 tok7mc . mioz75o y8pe,q be $14.3 \pm 1.6 \; cm$. 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 $1.6 \%$ and the uncertainty in $l$ is $5.2 \%$, 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 escchy*tz3dzu-h ,o v/ c;mmo; qwk6h3j;aeu+,timated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 8 \%$. 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 differenceg9i zziq s tjrf:m6xt4.c s0,+ ($V$) across a resistor is measured with a digital voltmeter to be $0.14 \; V$ . 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 mes 3xuza2/;r3kpelwd n l7- )ffasurements of the same quantity which of the following can be redusf3x p; rafn2-ldz7kw/3 u)leced?

  A student measures a distance four times. The readings are 37.8 cm;s8*q+0 *(j / suegirsgxacov); nroo , 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measurement+0ocg *jaie*)rugosvqonsx r/(;8; s?

  A student measures two lengths as fonm:e jz .m( )iq+1fzxlllows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two event) -+ijqu9 kvq1- (ggneeb7 ;. o/f4qjkfmdlfe s, 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 quantitylpkycb ffu6b w;;kqr ;394ti4 Q varies is plotted. Theory states that P ikurf; bp ; 64qyfc9;3lbk4wtshould vary linearly with Q.

  The length of a pencil is measured using part of a measuring tape as shown beq7pwea6o)6x c)9, r w+yxin uolow.ie cx7p9a)ooyxn )6 q,wur6 +w

What is the length of the pencil?

  The masses and weights of 4s4 c4/kz zjvvdifferent objects are independently measured. The graphzsj 4vz4kc/ 4v is a plot of weight versus mass that includes error bars.

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 diagray;;hlxmx:i rx- j* ul(m show;x ;*jy: mhlulxi-xr(s the 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 sphere *foo.u,f d4vmis measured with percentage uncertainty of 3%. The radius of the sphere is 3.1 ± 0.5 cm. What is the percentage uncertainty in the mass of the spher o4.muff *o,vde?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has snq/,d0 qidikvr:i 3e* hown that:
$$
P=\frac{g h^2}{u^3}
$$
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 accecmyjx )m/9gzxb13dvh+ 59 zsgleration due to gravity produces the followingj+mzz/9g9)15 3 gbsmxcxvhdy 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 uncertap/ yscovo15g 7int py cs7o/1g5voy 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 massbjhq7 9hz* 9ec bgrb(1 $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.8 \%$ 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-negligibl0-)j4df hx z:3(r -cbab eurhke zero offset error. Which of the following statements is corz 4bhdj-urf(- kx) 30ra:c ebhrect?

  A student measures a length five times. All of the measurements lie betweenny/ im7xz al50 $18.8 \mathrm{~cm}$ 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 ± 0.2 cmbtzq ll*kj4bd w g4/lt f)*5ix+jh0w1 long is cut from a longer piece that is 12.6 ± 0.4 cm long. How long is the remaining piece of string+zgji jt/f wl *twk5d4ll )qh0b4xb*1?

  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 $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 9 \%$. 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 of : p j- :xe)ibw;fqsgu.2.0 ± 0.19 kg, causing it to accelerate. What is the percentage uncertainty of its acceler.fpsj xg:qu:ie-bw) ;ation?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measured to be 10.0ozj8 22 ap;vk+ butht- ± 2.3 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) %