Which of the following could be a unit of*epizgu 6l7gk i)p 7d4m)dugb;akh 2+ power?

  By approximately how mre,e7vfw t (p5any powers of ten is the height of a human larger than the height of a gr7p( ,reew 5tvfain of sand?

  What is the value of (8a.n)v:.hy)i u7 xdc+ldybhn hyx )v$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fu /ui zt0fbjq 2e*-;x1mvb2gymkm2+ dnndamental unit in the SI system?

  The volume of the Earth oglnm3a 2)n y2is approximately $10^{12} \mathrm{~km}^3$ 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 nl:a3/oj ia +,*9 us cl1xchhvmumber of heartbeats of an average adult human */llauiaom j c vc13hs+:hx ,9in a day.

  Which of the following contains one fundamental unit avkh ota--if+ 7nd one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer wilpy7w5gh seq s -:+b+vth the most decimal plv-:lqs5gy s+ ew7+hbpaces?

  A car has a mass of 1000kg. A mouse has a mass of 10g. What is the order of/ r )a9:(r: 7rjamug4xwv- w obj5quzv magnitude of the ratio between the mass of the cm(oz)rr/aj4 g9aq: wvx vr u7-u b:w5jar to that of the mouse?

  A train travels $93.5 \pm 0.7$ meters in $3.104 \pm 0.09$ 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 shatrcg/dd :+svqt;ofj 9:kgfkdi 4 8hxp; 0i,* cpe of a cube with sides of $2.24 \mathrm{~m}$. Each side is measured with an uncertainty of $0.8 \%$. 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 s+df kc,x.u ;nride $x$ 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 $5.9 \%$ and $h$ is measured to $4 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The length of a pencil is measuc0kdjq8 fa3:i red using part of a metre rule that is graduated in millimetres: qaf03cj k8di, 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 $3.7 \% $ uncertainty in $V$ and a $3.1 \%$ 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 i 4vcgj)ap*c mi0et)t7 h.mcw)s measured to be $29.9 \pm 1.5 \; cm$. 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 $1.0 \%$ 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 esa74 jivcxq95s3s r9 jwtimated 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 differw3*w-sx)+ myrt dxju/ ence ($V$) across a resistor is measured with a digital voltmeter to be $0.21 \; V$ . 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 measurements8c q/ smkwnkja+.5of(:k7wgmg r2um) of the same quantity which of the following can be g(rm8 +n/ kq.ma:mc5 kwjf ok u)72sgwreduced?

  A student measures a distance four times. j,yindqx+w p.( awy- )p(1 owdThe readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the (wwao .y-dx, pqw+1)dyin(jpbest estimate of this measurement?

  A student measures two lesb7 0rg4x6jpq ngths 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 events, a and b, are -r:vlh m)q9 -z o4leywmeasured 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 is jl ,+h zk.bhp8plotted. Theory states that P should vary linearlyz lb phh8,k.+j with Q.

  The length of a pencil is measured using part of a6nol9tp,qk :3 6-wo el krwr:i measuring tape as shown beloww k 3loq6or-ktpw,lri6 :e9 n:.

What is the length of the pencil?

  The masses and weights of different objects arelj 19yh(ypu7sy5/igv7/ m u+t uz qk6k independently measured. The graph is7 ptz/6vu/uky7m5y9j ul (yskq+hg 1i 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 thro/1 1, zmqdktsx hjpc,275 a wm:,ht3a(jbfje diagram showht,akm js /(tf3 2m,b1x:71 j ha,dr5z qcwjpos 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 is measured with percenyzk0xh tj r+kdeea)/.0mf)px+gc 1f7tage uncertainty of 4%. The radius of the sphere is 5.2 ± 0.3 cm. What is the percentage uncertainty in the mass of the sppg+ay1fcfhmd0ek/ z.0 )) j7r xketx+here?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has shown that:: )tsdzfp*9elfel q+;
$$
P=\frac{g h^2}{u^3}
$$
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 accelero- d9soqcma 4(/ar kbd7ohz,d*lgy*:ation due to gravity produces the following res:ycab 7 -d9k(qg*l os do4rmh,dza *o/ults:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 measuremx 87id:0tqd(lujx py6pnr+gs /a: ii*ent has an uncertaintipulgsp+ :a y rti/ i7dqd0(: jx8n6x*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 masx.) eizi25sd ia, i6fjs $(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.0 \%$ 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 zero ofky grl26zom6 m(wkc/ (fset error. Which of the following statements is c62 ykgc(6/r o (kwzmmlorrect?

  A student measures a length five tim*shbs1 . ay39b sk,itres. All of the 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 ± 0.4 cm long is cut from a longer piet vk(z)ylx2r:5i:u(d ewm p, ice that is 12.6 ± 0.5 cm long. How long is the remaining piece oytu5z,rx(2v i(e)miw:k: pldf 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 $\pm 3 \%$. 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 inr egjh,)/n/ qs applied to a mass of 2.0 ± 0.07 kg, causing it to accelerate. What is the percentage uncertainty,h/ej)g q/nnr of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire i;/ 2hj0bjdjbps measured to be 10.0 ± 0.4 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) %