Which of the following could be r,wtemk 1 aj2ja2wt8pe(+a 9 ka unit of power?

  By approximately how many powers of ten is the height of a human vjyn16xpi (..b30ujosqokx 4 larger than the height of a grain of sandjvqu 3p (6yk1oxn boij .sx0.4?

  What is the value of4 s8 8a*avn2cn.cx ji( 37keczh/j wgb $\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

  Which of the following is a fundamental unit in the SI s(bj 2b 1ju rt2 wb9gjtztn22t4ystem?

  The volume of the Earth is apqlxjpvp;k(n 5+rwf0/2 jnx0 cproximately $10^{12} \mathrm{~km}^3$ 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 heartbc(ef5 f a-t)enk tocbq42;f3cy5vu 2aeats of an averag5(c) 22naf5fkvy t3 eqoucb-4fa;tc e e adult human in a day.

  Which of the following contains one fundamezag* n)d kf4o61k:jg8 v m*)ffmhj7gxntal unit and one derived unit?

  If A=10.0 and B=0.50, which calculation will give the answer with the mos5fv adf+ r8ca7no(xc(zzm */qt decimal places?+(v /zx 5o* f8mz(n7r ccfqdaa

  A car has a mass of 1000kg. A mouse hszf: xihdi -*7ian2z4as a mass of 10g. What is the order of magnitude of the ratio between the mass of the car to that of tha2z-ihsziif:nd *74x e mouse?

  A train travels $49.9 \pm 0.3$ meters in $3.960 \pm 0.06$ 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 shape of a cube wr4tsbe tdda*gtzw; 9v r0n8 ;:ith sides of $2.48 \mathrm{~m}$. Each side is measured with an uncertainty of $1.9 \%$. 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; 9qfsjd9lu (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 $7.5 \%$ 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 measured usih+ 57xhrvbh x4ng part of a metre rule that is graduated in millimetres, as shown below.b hx5+rhx74 vh

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 $3.4 \% $ uncertainty in $V$ and a $2.2 \%$ 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 measurefx3saswn r ak 9 q).dyn 97ni7yrp/6l6d to be $14.7 \pm 1.6 \; cm$. 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 $1.7 \%$ and the uncertainty in $l$ is $5.9 \%$, 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 si;ax5 r cig7zal:-.js/ojz+az des of a room are estimated 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 difference +xp3k pw5vjz :($V$) across a resistor is measured with a digital voltmeter to be $0.56 \; V$ . 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 measurement:sossh l594hh89bug5 w .1d, gtt wrtis of the same quantity which of the following can be reduco59hdsgt5l8iugr1,ssth b9tw :h w4.ed?

  A student measures a distance four times. The readings are 37.8 cm, 37.9 cm, 38.8nrgg:5xb/cuvws z xc: a4 r*7, kcg1g1 cm, 38.2 cm. What is the best estimate of this 8c4cwk cvs:*ng1 r:arggx zubx 7/5g,measurement?

  A student measures two lengths as follolz b*kk6xy; q7ws: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

  The time for two events, a and 0 a6zq-4uelxa tgx6p3b, 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 vapb.q(y l9 zp )uv2juv bg-pl6(hg25jdries is plotted. Theory states that P should varlp yvp p(g2 uq5.2dz9(bbljuj)h-gv6 y linearly with Q.

  The length of a pencil is measurc pqrha-c7 vn ugi-d+79v 2y(ced using part of a measuring tape as shown below-- +vi(qn27d9u7c ccvpyarg h .

What is the length of the pencil?

  The masses and weights of differe+ g(vdzizcx 8g)j)n4nu k7f h1nt objects are independently measured. The graph is a plot of we4 (+ hggjvk)8u)din1z7n zcfxight 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 dia:wcdsbe;f c66hf oy,a(- ut+lgram shows the measured va yctu+6fcea;( bslwh6:o ,-fd lues 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 percentage uncertainty of 4zhw 6zz:n7jc 5%. The radius of the sphere is 5.6 ± 0.4 cm. What is the percentage uncertainty in the masswzzc hn z657j: of the sphere?  (数值) % (Please do not include the % simbol in the blank)

  Experimental data has s, x7)jq u ef9lns9h zznf9.f)ihown 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 0r+ *za/5zsktk d)rug the acceleration due to gravity produces the following resul5+ rru tskd*0zz/agk )ts:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
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 usz.n1rcg( x o3)z3pnnz ing a ruler, such that each measurement has an uncertaintzn z3 3n1).grcoxn(pzy 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 mass + oyx f xr-kwr.y3. myniatmp0i,;5j 3$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $8.4 \%$ 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 followi32r1vfsgt j0x ng statements is correctxfjr2g1v3t s0 ?

  A student measures a length five times. All of the measurements l3zmghq5)u qc8lx*q 0b+kat v ,exs8o1ie 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 8 :xvmpe. d4nyppf4:qpiece that is 12.6 ± 0.1 cm long. How lq4dvxf p.:8 4y n:emppong 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 $\pm 8 \%$. 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 ± 1.5 N is appliecii 1mhmhd72t 2o70o id to a mass of 2.0 ± 0.03 kg, causing it to accelerate. What do1hmico0772hmi 2it is the percentage uncertainty of its acceleration?  (数值) % (do not include the percent sign in your result)

  The radius of a circle of wire ishy3(rz37cb*f9l7w3q mu2syr v dfdy: measured to be 10.0 ± 0.3 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) %