Question 2 :
With due regards to significant figures 0.99-0.989 is equal to :<br/>
Question 3 :
In order to measure the period of a single pendulum using a stop clock, a student repeated the experiment for $10$ times and noted down the time period for each experiment as $5.1, 5.0, 4.9, 5.1, 5.0, 4.9, 5.1, 5.0, 4.9, 4.9$s. The correct way of expressing the result for the period is?
Question 4 :
Calculate area enclosed by a circle of diameter $1.06\ m$ to correct number of significant figures.
Question 9 :
Which of the following is not used to measure the volume of a liquid or an irregular shaped object?
Question 10 :
If $C, R, L$ and $I$ denote capacitance, resistance, inductance and electric current respectively, then the quantities having the same dimensions of time are<br/>a) $CR$<br/>b) $L/R$<br/>c) $\sqrt { LC } $<br/>d) ${ LI }^{ 2 }$
Question 12 :
The thickness of a metal sheet is measured to be $326 mm$. Express its order of magnitude in mm.
Question 13 :
The radius of a sphere is $5$ cm. Its volume will be given by (according to the theory of significant figures) :
Question 14 :
In terms of basic units of mass $(M)$, length $(L)$, time $(T)$ and charge $(Q)$, the dimensions of magnetic permeability of vacuum $({\mu}_0)$ would be
Question 16 :
$5.74\ g$ of a substance has density $4.8 gcm^{-3}$.Keeping significant figures in view,calculate its volume?
Question 18 :
Mass of a body is 210 gm and its density is $7.981 gm/{cm}^3$. What will be its volume with regard to significant digits?<br/>
Question 19 :
When 13546 is rounded off to four significant figures, it becomes :
Question 23 :
N divisions on the main scale of vernier callipers coincide with (N+1) divisions on the vernier scale. If each divisions on the main scale of a units, determine the least count of instrument.<br>
Question 25 :
The time of oscillation $T$ of a small drop of liquid depends on radius $r$, density $\rho$ and surface tension $S$. The relation between them is given by
Question 29 :
If the unit of tension is divided by the unit of surface tension the derived unit will be same as that of
Question 30 :
In C.G.S system the magnitude of the force is $100$ dyne. In another system where the fundamental physical quantities are kilogram, metre, and minute, the magnitude of force is:
Question 31 :
A force $F$ is given as $F = at + bt^2$, where t is time. What are the dimensions of a and b?
Question 32 :
With due regard to significant figures, the value of $ 46.7-10.04  $ is :
Question 35 :
State whether the following statement is True or False. The prefix used for $\displaystyle { 10 }^{ 3 }$ is kilo.
Question 36 :
The frequency of vibration of a string is given by $f=\dfrac {n}{2L} \sqrt {\dfrac {T}{m}}$, where $T$ is tension in the string, $L$ is the length, $n$ is number of harmonics. The dimensional formula for $m$ is<br/>
Question 37 :
Which of the following does not give the unit of energy ? 
Question 40 :
The volume of a sphere is $ 1.76\;{cm }^{ 3 }$. The volume of 25 such spheres according to the idea of significant figures in ${cm}^{ 3 }$ is 
Question 41 :
The quantity $\dfrac { { e }^{ 2 } }{ 2{ \epsilon}_{0 }hc } $ has the dimensions of:
Question 42 :
The diameter of a cylinder is $0.55$ cm, its length is $1.35$ cm. Its volume is_______${ cm }^{ 3 }$.
Question 43 :
The correct order in which the dimensions of "length" decreases in the following physical quantities is<br/>a) Coefficient of viscocity <br/>b) Thermal capacity <br/>c) Escape velocity<br/>d) Density
Question 45 :
By rounding off, (a) $20.96$ and (b) $0.0003125$ to three significant figures, we get
Question 46 :
Calorie is a unit of heat or energy whose value is $4.2J$, where $J=1\;kgm^2s^{-2}$. If one uses a unit system in which units of mass, length and time are taken as $\alpha\;kg,\;\beta\;metre$ and $\gamma\;second$ respectively, then the value of calorie in this system will be
Question 47 :
If the value of 103.5 kg is rounded off to three significant figures, then the value is
Question 49 :
Consider the following two statements A and B. Identify the correct answer.<br/>A) The quantity $\dfrac { { e }^{ 2 } }{ { \epsilon  }_{ 0 }ch } $ is dimensionless.<br/>B) $\dfrac { 1 }{ \sqrt { { \mu  }_{ 0 }{ \epsilon  }_{ 0 } }  } $ has the dimensions of velocity and is numerically equal of velocity of light.
Question 50 :
Using mass $(M)$, length $(L)$, time $(T)$ and current $(A)$ as fundamental quantities, the dimension of permeability is
Question 52 :
The fractional change in the value of free-fall acceleration $g$ for a particle when it is lifted from the surface to an elevation $h$ ($h<<R$) is :
Question 53 :
The period of oscillation of a simple pendulum in the experiment is recorded as $2.63 s, 2.56s, 2.42s, 2.71s$ and $2.80s$ respectively. The average absolute error is:
Question 54 :
A person was weighing $102.1\  kg$ last week and gained $0.28 \ kg$ this week. His weight as of now is correctly expressed as :
Question 55 :
Three measurement are made as $18.425$cm $7.21cm$ and $5.0cm$. The addition should be written as then:<br/>
Question 56 :
Assertion: The number 1.202 has four significant figures and the number 0.0024 has two significant figures.
Reason: All the non zero digits are significant.
Question 57 :
5.74 gm of a substance occupies a volume of $1.2\;cm^3$. Calculate its density with due regard for significant figures.
Question 58 :
The length of a simple pendulum is about $100\ cm$, known to have an accuracy of $1\ mm$. Its period of oscillation is $2\ s$, determined by measuring the time for $100$ oscillations using a clock of $0.1\ s$ resolution. What is the accuracy in the determined value of $g$?
Question 59 :
In some observations, value of 'g' are coming as 9.81, 9.80, 9.82, 9.79, 9.78, 9.84, 9.79, 9.78, 9.79 and 9.80 $m/s^2$.<br>Calculate absolute errors and percentage error in g.
Question 60 :
State if the following statements are true or false. Correct the statement if it is false.<br>The error in reading a scale due to the wrong positioning of the eye is called human error.
Question 61 :
What is the unit of "$a$" in Vander Waal's gas equation?
Question 63 :
The viscous force $F$ acting on a rain drop of radius '$a$' falling through air of coefficient of viscosity $'\eta '$ with terminal velocity $V$ is given by $F$ $\alpha$ ${ n }^{ x }{ a }^{ y }{ V }^{ z }$. The values of $x, y$ and $z$ are :
Question 64 :
When $CO_{2}(g)$ is passed over red-hot coke it partially gets reduced to $CO(g)$. Upon passing $0.5$ litre of $CO_{2}(g)$ over red-hot coke, the total volume of the gases increased to $700\ mL$. The composition of the gaseous mixture at STP is :
Question 65 : Match the following<br><table class="wysiwyg-table"><tbody><tr><td>Column-I</td><td>Column-II</td></tr><tr><td>A. Pressure</td><td>E. $ML^{-1} T^{-2}$</td></tr><tr><td>B. Stress</td><td>F. $Nm^{-2}$</td></tr><tr><td>C. Energy per unit<br>volume<br></td><td>G. $M^{0} L^{0} T^{0}$</td></tr><tr><td>D. Strain</td><td>H. $Jm^{-3}$</td></tr></tbody></table>
Question 66 :
A gas bubble from an explosion under water oscillation with a period proportional to $P^a,d^b,E^c$ where $P$ is the static pressure, $d$ is the density of water and $E$ is the energy of explosion. Then $a,b$ and $c$ respectively are
Question 67 :
Using the principle of homogeneity of dimensions, which of the following is correct?
Question 68 :
A science student takes 100 observations in an experiment. Second time he takes 500 observations in the same experiment. By doing so the possible error becomes :
Question 69 :
In a experiment to measure the height of a bridge by dropping a stone into water underneath,if the error in the measurement of times is $0.1s$ at the end of $2s$,then the error in the estimation of the height of the bridge will be
Question 70 :
The respective number of significant figures for the numbers $23.023, 0.0003$ and $2.1\times10^{-3}$ are :<br>
Question 71 :
A body travels uniformly a distance of $(13.8 \pm 0.2) m$ in a time $(4.0 \pm 0.3) s$. Its velocity with error limits is
Question 73 :
The mass of the electron is given $9.1\times 10^{-31} kg$. Find the order of magnitude of the number of electrons of $1 kg$.
Question 74 :
The velocity $v$ of a particle at time $t$ is given by $\displaystyle v= at+\frac{b}{t+c}$, where $a, b$ and $c$ are constants. The dimensions of $a, b$ and $c$ are respectively
Question 75 :
Two resistances $r_1=(5.0\pm 0.2)\Omega$ and $r_2=(10.0\pm 0.1)\Omega$ are connected in parallel. Find the value of equivalent resistance with limits of percentage error.<br>
Question 77 :
The dimensional formula of a physical quantity is $\displaystyle [{ M }^{ 1 }{ L }^{ 1 }{ T }^{ -2 }]$. What is its SI unit?
Question 78 :
Given that $\displaystyle y= A\sin \left [ \left ( \frac{2\pi }{\lambda }\left ( ct-x \right ) \right ) \right ],$ where $y$ and $x$ are measured in metres. Which of the following statements is true?
Question 79 :
Subtract $1.5 \times 10^3$ from $4.8 \times 10^4$ with due regard to significant figures.
Question 80 :
A rectangular vessel $ 1 m \times 0.6 m \times 0.5 m $ filled with maize grains. Treat the grains spheres of diameter 0.3 cm each.The number of grains in the vessel is the nearest to
Question 81 :
Assertion: Force cannot be added to pressure. <br/>
Reason: Because their dimensions are different.
Question 82 :
A massive black hole of mass m and radius R is spinning with angular velocity $\omega$. The power P radiated by it as gravitational waves is given by $P=Gc^{-5}m^xR^y\omega^z$, where c and G are speed of light in free space, and the universal gravitational constant, respectively. Then-
Question 83 :
The volume of a gas at $0^{\circ}C$ and $700\ mm$ pressure is $760\ cc$. The no. of molecules present in this volume is_____________.
Question 84 :
The refractive index ($\mu$) of glass is found to have the values $1.49, 1.50, 1.52, 1.54\ and\ 1.48$. Calculate the mean value of refractive index.
Question 85 :
The diameter of a sphere is measured with an instrument having least count $0.001$cm. The diameter is $1.933$ cm. The radius to correct significant figures will be :<br/>
Question 86 :
Of the following quantities , which one has dimensions different from the remaining three?
Question 87 :
Find the value of following on the basis of significant figure rule:<br>The height of a man is $5.87532$ ft. But measurement is correct upto three significant figures. The correct height is?<br>
Question 88 :
The effective length of a simple pendulum is the sum of the following three: length of string, radius of bob, and length of hook.<br>In a simple pendulum experiment, the length of the string, as measured by a meter scale, is $92.0$cm. The radius of the bob combined with the length of the hook, as measured by a vernier callipers, is $2.15$cm. The effective length of the pendulum is
Question 90 :
Given that $y=a cos (\frac{t}{p}-qx)$, where $t$ represents time in second and $x$ represents distance in meter. Which of the following statements is true ?
Question 91 :
The radius of a hydrogen atom is $0.5\mathring{A}$. Find the order of magnitude of volume of $1$ mole hydrogen in $m^3$. Given that 1 mole of hydrogen has $6.02 \times 10^{23}$ hydrogen atoms.<br/>
Question 92 :
The random error in the arithmatic mean of $10$ observations is k. Then random error in arithmatic mean of $25$ observations would be
Question 94 :
Assertion: Absolute error may be negative or positive.
Reason: Absolute error is the difference between the real value and the measured value of a physical quantity.
Question 95 :
In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where $ X = \dfrac{A^2 B^{1/2}}{C^{1/3} D^3}$, will be
Question 96 :
The length of on rod $l_1=3.323 cm$ and the other is $l_2=3.321 cm$. Both rods were measured with one measuring instrument with least count 0.001 cm. Then $(l_1-l_2)$ is :<br/>
Question 97 :
Hubble's law is expressed as (here, $v=$ speed of recession, $r=$ distance of galaxy, $H=$ Hubble constant).
Question 98 :
The dimensions of angular momentum, latent heat and capacitance are, respectively.
Question 99 :
The addition of two numbers $\displaystyle 6.75\times 10^{3}$ cm and $\displaystyle 4.52 \times 10^{2}$ cm with regard to significant figures is:
Question 100 :
statement 1: Plane angle is a dimensionless quantity.<br/>statement 2: All supplementary quantities are dimensionless.
Question 101 :
An experiment measures quantities a, b, c and x is calculated from $x = ab^2/c^3$. If the maximum percentage error in a, b and c are 1%, 3% and 2% respectively, the maximum percentage error in x will be
Question 102 :
The relative uncertainty in the period of a satellite orbiting around then earth is $10^{-2}$. If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is:
Question 103 : <table class="wysiwyg-table"> <tbody><tr> <td><b>Column- I</b><br><b>Physical quantity</b></td> <td><b>Column-II</b><br><b>MKS system</b></td> <td><b>Column-III<br></b><b>CGS system</b></td> <td><b>Column- IV</b><br><b>FPS system</b></td> </tr> <tr> <td>(A) length</td> <td>(a) newton</td> <td>(p) erg</td> <td>(1) poundal</td> </tr> <tr> <td>(B) mass</td> <td>(b) m</td> <td>(q) dyne</td> <td>(2) ft-poundal</td> </tr> <tr> <td>(C) force</td> <td>(c) kg</td> <td>(r) erg/s</td> <td>(3) ft</td> </tr> <tr> <td>(D) power</td> <td>(d) joule</td> <td>(s) g</td> <td>(4) lb</td> </tr> <tr> <td>(E) work</td> <td>(e) watt</td> <td>(t) cm</td> <td>(5) ft-poundal/s</td> </tr></tbody></table>
Question 104 :
Two equal masses each $'m'$ are hung from a balance whose scale pans differe in vertical height by $'h'$. the error in weighing is
Question 105 :
Consider a vessel filled with carbodioxide at $27^{\circ}C$ and $5$ atmospheric pressure. A part of the gas is removed at $27^{\circ}C$ and it fills a $3L$ container at $1\ atm$ and the pressure drops to $3.5\ atm$ in the vessel. The volume of the vessel is:
Question 106 :
A scientist proposes a new temperature scale in which the ice point is $25 X$ ($X$ is the new unit of temperature) and the steam point is $305 X$. The specific heat capacity of water in this new scale is (in $J{ kg }^{ -1 }{ X }^{ -1 }$):
Question 107 :
Using the expression $2d sin\theta=\lambda$, one calculates the values of '$d$' by measuring the corresponding angles $\theta$ in the range $0^o$ to $90^o$. The wavelength $\lambda$ is exactly known, and the error in $\theta$ is constant for all values of $\theta$. As $\theta$ increases from $0^o$:
Question 108 :
A physical quantity $X$ is given by $X = \dfrac {2k^{3}l^{2}}{m\sqrt {n}}$<br>The percentage error in the measurements of $k, l, m$ and $n$ are $1$%, $2$%, $3$% and $4$% respectively. The value of $X$ is uncertain by
Question 109 :
The speed of light ($c$), gravitational constant ($G$) and Planck's constant ($h$) are taken as fundamental units in a system. The dimensions of time in this new system should be
Question 110 : Match the following physical quantities with their respective dimensional formula:<br/><table class="wysiwyg-table"><tbody><tr><td>(a) Angular Momentum</td><td>(e) $\displaystyle \left[ { ML }^{ 2 }{ T }^{ -3 } \right] $</td></tr><tr><td>(b) Impulse</td><td>(f) $\displaystyle \left[ { ML }^{ 2 }{ T }^{ -1 } \right] $</td></tr><tr><td>(c) Pressure</td><td>(g) $\displaystyle \left[ ML{ T }^{ -1 } \right] $</td></tr><tr><td>(d) Power</td><td>(h) $\displaystyle \left[ { ML }^{ -1 }{ T }^{ -2 } \right] $</td></tr></tbody></table>
Question 111 :
The mass of a box measured by a grocer's balance is $2.3\ kg$. two gold pieces of masses $20.15\ g$ and $20.17\ g$ are added to the box. The total mass of the box is:
Question 112 :
A physical quantity $A$ is related to four observable $a, b, c$ and $d$ as follows, $A = \dfrac {a^{2}b^{3}}{c\sqrt {d}}$, the percentage errors of measurement in $a, b, c$ and $d$ are $1$%, $3$%, $2$% and $2$% respectively. What is the percentage error in the quantity $A$?
Question 113 :
Using the expression $ 2\mathrm{d}\sin\theta=\lambda$, one calculates the values of $\mathrm{d}$ by measuring the corresponding angles $\theta$ in the range $\theta$ to $90^{\mathrm{o}}$. The wavelength $\lambda$ is exactly known and the error in $\theta$ is constant for all values of $\theta$. As $\theta$ increases from $0^{\mathrm{o}}$,<br/>
Question 114 :
The pressure of the gas was found to decrease from $720$ to $480\ mm$. When $5\ g$ of the sample of activated charcoal was kept in a flask of one litre capacity maintained at $27^{\circ}C$. If the density of charcoal at $1.25\ gm/ mL$. The volume of gas adsorbed per gm of charcoal at $480\ mm$ of $Hg$ is:
Question 115 :
A quantity $f$ is given by $f=\sqrt{\dfrac{hc^5}{G}}$ where c is speed of light, G universal gravitational constant and h is the Planck's constant. Dimension of $f$ is that of?
Question 116 :
The distance s travelled by a particle in time t is $s=ut-\displaystyle\frac{1}{2}gt^2$. The initial velocity of the particle was measured to be $u=1.11\pm 0.01$ m/s and the time interval of the experimental was $t=1.01\pm 0.1s$. The acceleration was taken to be $g=9.8\pm 0.1m/s^2$. With these measurements, the student estimates the total distance travelled. How should the student report the result?
Question 117 :
The refractive index ($\mu$) of glass is found to have the values $1.49, 1.50, 1.52, 1.54\ and\ 1.48$. Calculate percentage error.
Question 118 :
$16\ g$ of oxygen and $3\ g$ of hydrogen are mixed and kept at $760\ mm$ pressure and $0^{\circ}C$. The total volume occupied by the mixture will be nearly.
Question 119 :
A public park, in the form of a square, has an area of $(100 \pm 0.2 )m^2 $ .The side of park is :
Question 120 :
With due regard to significant figures, add the following:<br>a. 953 and 0.324<br>b. 953 and 0.625<br>c. 953.0 and 0.324<br>d. 953.0 and 0.374
Question 121 :
Stoke's law states that the viscous drag force $F$ experience by a sphere of radius a, moving with a speed v through a fluid with coefficient of viscosity $\eta$, is given by $F = 6\pi \eta av$<br>If this fluid is flowing through a cylindrical pipe of radius $r$, length $l$ and a pressure difference of $P$ across its two ends, then the volume of water $V$ which flows through the pipe in time $t$ can be written as<br>$\dfrac {v}{t} = k\left (\dfrac {p}{l}\right )^{a}\eta^{b}r^{c}$<br>Where $k$ is a dimensionless constant. Correct values of $a, b$ and $c$ are.<br>
Question 122 :
Calculate focal length of a spherical mirror from the following observations.Object distance, u=(50.1±0.5)u=(50.1±0.5) cm<br/>Image distance, v=(20.1±0.2) cm
Question 123 :
The dimension of $\dfrac{B^2}{2 \mu_0}$, where B is magnetic field and $\mu_0$ is the magnetic permeability of vacuum, is:
Question 124 :
The radius of a sphere is measured to be $5.3 \pm 0.1 cm$. Calculate the percentage error in the measurement of its volume.
Question 125 :
Force $F$ is given in terms of time $t$ and distance $x$ by $F = A\ sin C t + B\ cos D x$ .Then the dimensions of $\displaystyle \frac{A}{B}$ and $\displaystyle \frac{C}{D}$ are given by :
Question 126 :
The Van der Waal's equation of $'n'$ moles of a real gas is<br/>$\displaystyle \left( P+\frac { a }{ { V }^{ 2 } }  \right) \left( V-b \right) =nRT$<br/>Where $P$ is pressure, $V$ is volume, $T$ is absolute temperature, $R$ is molar gas constant and $a, b, c$ are Van der Waal constants. The dimensional formula for $ab$ is:
Question 127 :
Ethanol, ${ C }_{ 2 }{ H }_{ 5 }OH$, is the substance commonly called alcohol, The density of liquid alcohol is $0.7893\ g/ml$ at 293 k. If 1.2 mole of ethanol are needed for a particular experiment, what volume of ethanol should be measured out?
Question 128 :
Two plates have lengths measured as $(1.9 \pm  0.3)m$ and $(3.5 \pm0.2)m$. Calculate their combined length with error limits.
Question 129 :
In the relation, $\displaystyle P=\frac{\alpha }{\beta }e^{{\alpha z}/{k\theta }}$ $P$ is pressure, $Z$ is distance, $K$ is Boltzmann constant and $\displaystyle \theta $ is the temperature. The dimensions of $\displaystyle \beta $ will be 
Question 130 :
$ S_{2}O_{3}^{2-}$ ion is oxidized by $ S_{2}O_{8}^{2-}$ ion, the products are $ S_{4}O_{6}^{2-}$ and $ SO_{4}^{-2}$ ions. What volume of 0.25M thiosulphate solution would be needed to reduce 1 g of $ K_{2}S_{2}O_{8}?$ (K = 39)
Question 131 :
The viscosity of a gas depends on mass, the effective diameter and the mean speed of the molecules. At room temperature, for He, $\eta_{He}=2\times 10^{-5}$ $kg{m}^{-1}{s}^{-1}$ and for $CH_{4}$, $\eta _{CH_{4}}=1.1\times 10^{-5}kgm^{-1}s^{-1}$. The diameter of the He atom is $2.1\times 10^{-10}m$ . lf the diameter of  $CH_{4}$ is $n\times 10^{-10}m$, find $'n'$.<br/>Given mean speed of the molecules of the gas $v\propto \sqrt{\frac{K_B T}{m}}$ , where $K_B$ is the boltzmann's constant , $ T$ is temperature and m is the mass of the gas. 
Question 133 :
The period of oscillation of a simple pendulum is $\displaystyle T = 2 \pi \sqrt {\dfrac {L} {g}}$. Measured of $L$ is $20.0\ cm$ known to $1\ mm$ accuracy and time for $100$ oscillations of the pendulum is found to be $90\ s$ using a wrist watch of $1\ s$ resolution. The accuracy in the determination of $g$?
Question 134 : <p>A force $\overrightarrow {\rm{F}} $ is applied on a square plate of length<b> L. </b>If the percentage error in the determination of<b> L</b> is <b>3%</b> and in<b> F</b> is <b>4%,</b> the permissible error in the calculation of pressure is.</p>
Question 136 :
In an experiment the following observations were recorded <br/>$L=2.890$ metre<br/>$\mathrm{M}=3.0$ kg<br/>$\ell=0.87$ cm<br/>$\mathrm{D}=0.041$ cm<br/>$\mathrm{g}=981\mathrm{c}\mathrm{m}/\sec^{2}$<br/>and the formula used for calculatlon of Young's modulus ($\mathrm{Y}$) is $\displaystyle \mathrm{Y}=\frac{\mathrm{M}\mathrm{g}\mathrm{L}}{\pi \mathrm{r}^{2}l}$<br/>What is the maximum possible error expressed in percentage?<br/>
Question 137 :
The length and breadth of a metal sheet are $3.124 \ m$ and $3.002\ m$ respectively. The area of this sheet upto four correct significant figure is :
Question 138 :
The radius of a ball is $(5.4\pm 0.2)cm$. The percentage error in the volume of the ball is
Question 139 :
In particular system of unit, if the unit of mass becomes twice and that of time becomes half, then $8$ Joules will be written as _______ units of work
Question 140 :
The numbers 3.845 and 3.835 on rounding off to 3 significant figures will give then<br/>
Question 141 :
A student measures the time period of $100$ oscillations of a simple pendulum four times. The data set is $90\ s, 91\ s, 95\ s$ and $92\ s$. If the minimum division in the measuring clock is $1\ s$, then the reported mean time should be:
Question 143 :
The mass of a body is 10.000 gm and its volume is $10.00$ $\mathrm{cm}^{3}$. If the measured values are expressed upto correct significant figures, then the maximum error in the measurement of density is :<br/>
Question 144 :
A gaseous mixture of ethene, ethane and methane having total volume $150\ ml$ is subjected to combustion in excess of oxygen. If percentage of methane in the original mixture is $20\%$ then calculate volume (in ml) of $C{ O }_{ 2 }\left( g \right)$ which will be obtained at same temperature and pressure.
Question 145 :
The sides of a rectangle are $7.01\ m$ and $12\ m$. Taking the significant figures into account, the area of the rectangle is
Question 146 :
<br>Pressure depends on distance as, $\displaystyle \mathrm{p}=\frac{\alpha}{\beta}\exp(-\frac{\alpha \mathrm{z}}{\mathrm{k}\theta})$, where $\alpha,\ \beta$ are constants, $\mathrm{z}$ is distance, $\mathrm{k}$ is Boltzman's constant and $\theta$ is temperature. The dimension of $\beta$ are :<br>
Question 148 :
The length $ \ell $, breadth b and thickness t of a block of wood were measured with the help of a measuring scale. The results with permissible errors are $ \ell $ = 15.12 $ \pm $ 0.01 cm, t = 5.28 $ \pm $ 0.01 cm. $ b $ = 10.15 $ \pm $ 0.01 cm. The percentage error in volume upto proper significant figures is :
