Which of the following could bv dxxe4q:d3i p,k5a:o e a unit of power?

  By approximately how many powerw38vbb 1v9 4ow4d nozps of ten is the height of a human larger than the height of a grain oww1b8b4opdvo 49v3nz f sand?

  What is the value of qp w ) z8 xn4s2apyyj2+kte.x2$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI system9f a83jh(*is vk)y guc?

  The volume of the Eas-)2jzb* m0 br:y mvdgrth is 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 nea*n b21scs8) i7v au pf(ntg b);i e./n8hiailyrest order of magnitude, the number of heartbeats of an average adult human in cn p1 2i g(aal8y f8.nustehvi bi *;7s)ni/)ba day.

  Which of the following contains one fundamental unyv8db1tlh( /2j o,go *wul bd.it and one derived unit?

  If A=10.0 and B=0.50, which c0ycd9vv3wx g78v6g upalculation will give the answer with the most decimal placg7uvgc 89pwv vx y30d6es?

  A car has a mass of 100ma4 r )qy5f,lq0kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass l45 aqfy,)mrqof the car to that of the mouse?

  A train travels $83.0 \pm 0.6$ meters in $3.823 \pm 0.08$ 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 ae4wa+p ;v 3yh9t k m+)nu9rpybgzkh37 cube with sides of $4.44 \mathrm{~m}$. 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 base w)33m ukb:fbqaf4 ml7dq6dt, 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 part of a metre ru3rx phc olveb/t9 v+: g772epwle that is graduated in millimetres, :e3 2bxv+gl/ r9ppew7hv7oc tas 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 $6.3 \% $ uncertainty in $V$ and a $2.6 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

  The radius of a ballooq3w;s nfx ;1fmj d, 2pg,f6kywn is measured to be $29.6 \pm 1.7 \; cm$. 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 $1.8 \%$ and the uncertainty in $l$ is $2.8 \%$, 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 estimate0; z (vcyey79 65cbatw:dy k9zm ;llayd as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 6 \%$. 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 differen iy 6at8n2zobajrdt:bh ( 2r-0z*7xzzce ($V$) across a resistor is measured with a digital voltmeter to be $0.41 \; V$ . 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 ofwq g+p8we+ dk4 the same quantity which of the following can be d+w+wk p4g 8qereduced?

  A student measures a divm8c*o/;7cuqnrxv w)tag7 ) mstance four times. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of thi* /wcogmv7 qaxmt c7v;8ur)n) s measurement?

  A student measures two lengths as fhry+ixk*q ru 8aohja, 91nd,1ollows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events,n - fikp c.7;yqc+:;my jnb7sj 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 quantity Q varies is ploe) 15mkb74bs , ctcxe1unkq8ntted. Theory states that P should vary linearly with Q.b 4qxc 51nm,ubk7)ce en8t1ks

  The length of a pencil is measured using part of a measuring tape as shown belowiwuz.6c3 tq8io -tp)r .qz. ciou-)836ti wprt

What is the length of the pencil?

  The masses and weights of different ob4erd lg iov oh.clnn e9/sp65 *j4;t8ijects are independently measured. The graph is a plot of weight6*4 ee.o rl 9otjh8in4;lndsp5iv gc/ 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 os1 y(hb-g 4day1c;f xnf a rectangular plate are measured, and the diagram showx;ac s1 gyf( 4d-1nbhys 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 sol9.ks . uyaa7(p/fa3j wxfyetzub t67 *id sphere is measured with percentage uncertainty of 4%. The radiyf 9uwx(.7pjtyz tae6a*3b f7. k/us aus of the sphere is 1.4 ± 0.4 cm. What is the percentage uncertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data hasbrw ms7g-l1 5)(mr wjpb8(alr0svh *v shown 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 zi ,jiz: rk5(cacceleration due to gravity produces the following resu (:ik,czrzj5ilts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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:w qukfkt g9ug :ud*s7(/ jz,o an uncertainty gg(:9 ,oj*d fuk7swt:/qku uzof $0.5 \mathrm{~cm} .$

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 mass :jf w4mrkrv:d k;*oy2$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.0 \%$ 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 offset error. Which of the following state r.xyds29ewxngc : 6/ za(rgu-ments is correct? :rncrx- xug.gz6 2(/w dys9ae

  A student measures a length five p7cvassr;t65 times. 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 ± 0.3 cm long is cut from a longer piece that is 12 zutkscz-761 r.jcsn(.6 ± 0.6 c.rk(n 1cc-z6sjsuz t7 m 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 $\pm 2 \%$ 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 is applied to a1scawk*f l ,0c mass of 2.0 ± 0.09 kg, causing it to accelerate. What is the af*0 k,1scc lwpercentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire is measu rflh1(pwexhu30mk )o3k3u9c red 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) %