Units and Measurement Test 2

Total Questions:50 Total Time: 60 Min

Remaining:

 

Questions 1 of 50

Question:Which of the following is not represented in correct unit

Answers Choices:

\(\frac{{{\rm{Stress}}}}{{{\rm{Strain}}}} = N/{m^2}\)

Surface tension =\(N/m\)

Energy \( = kg{\rm{ - }}m/\sec \)

Pressure \( = N/{m^2}\)

Questions 2 of 50

Question:One second is equal to

Answers Choices:

1650763.73 time periods of \(Kr\) clock

652189.63 time periods of \(Kr\) clock

1650763.73 time periods of \(Cs\) clock

9192631770 time periods of \(Cs\) clock

Questions 3 of 50

Question:One nanometre is equal to

Answers Choices:

\({10^9}mm\)

\({10^{ - 6}}\,cm\)

\({10^{ - 7}}cm\)

\({10^{ - 9}}cm\)

Questions 4 of 50

Question:Temperature can be expressed as a derived quantity in terms of any of the following

Answers Choices:

Length and mass

Mass and time

Length, mass and time

None of these

Questions 5 of 50

Question:Unit of power is

Answers Choices:

Kilowatt

Kilowatt-hour

Dyne

Joule

Questions 6 of 50

Question:Density of wood is \(0.5gm/cc\) in the CGS system of units. The corresponding value in MKS units is

Answers Choices:

500

5

0.5

5000

Questions 7 of 50

Question:\(Erg - {m^{ - 1}}\) can be the unit of measure for

Answers Choices:

Force

Momentum

Power

Acceleration

Questions 8 of 50

Question:The unit of potential energy is

Answers Choices:

\(g(cm/{\sec ^2})\)

\(g{(cm/\sec )^2}\)

\(g(c{m^2}/\sec )\)

\(g(cm/\sec )\)

Questions 9 of 50

Question:Which of the following represents a volt

Answers Choices:

Joule/second

Watt/Ampere

Watt/Coulomb

Coulomb/Joule

Questions 10 of 50

Question:Universal time is based on

Answers Choices:

Rotation of the earth on its axis

Earth's orbital motion around the earth

Vibrations of cesium atom

Oscillations of quartz crystal

Questions 11 of 50

Question:The nuclear cross-section is measured in barn, it is equal to

Answers Choices:

\({10^{ - 20}}\,{m^2}\)

\({10^{ - 30}}\,{m^2}\)

\({10^{ - 28}}\,{m^2}\)

\({10^{ - 14}}\,{m^2}\)

Questions 12 of 50

Question:Unit of moment of inertia in MKS system

Answers Choices:

\(kg \times c{m^2}\)

\(kg/c{m^2}\)

\(kg \times {m^2}\)

\(Joule \times m\)

Questions 13 of 50

Question:Which of the following is smallest unit

Answers Choices:

Millimetre

Angstrom

Fermi

Metre

Questions 14 of 50

Question:Which one of the following pairs of quantities and their units is a proper match

Answers Choices:

Electric field –\(Coulomb/m\)

Magnetic flux – \(Weber\)

Power – Farad

Capacitance – Henry

Questions 15 of 50

Question:The units of modulus of rigidity are

Answers Choices:

\(N - m\)

\(N/m\)

\(N - {m^2}\)

\(N/{m^2}\)

Questions 16 of 50

Question:Which of the following is not a unit of time

Answers Choices:

Leap year

Micro second

Lunar month

Light year

Questions 17 of 50

Question:The S.I. unit of gravitational potential is

Answers Choices:

\(J\)

\(J{\rm{ - }}k{g^{ - 1}}\)

\(J{\rm{ - }}kg\)

\(J{\rm{ - }}k{g^{ - 2}}\)

Questions 18 of 50

Question:Which one of the following is not a unit of young's modulus

Answers Choices:

\(N{m^{ - 1}}\)

\(N{m^{ - 2}}\)

\(Dyne\;c{m^{ - 2}}\)

Mega Pascal

Questions 19 of 50

Question:Unit of surface tension is

Answers Choices:

\(N{m^{ - 1}}\)

\(N{m^{ - 2}}\)

\({N^2}{m^{ - 1}}\)

\(N{m^{ - 3}}\)

Questions 20 of 50

Question:Which of the following system of units is not based on units of mass, length and time alone

Answers Choices:

SI

MKS

FPS

CGS

Questions 21 of 50

Question:The unit of the coefficient of viscosity in S.I. system is

Answers Choices:

\(m/kg{\rm{ - }}s\)

\(m{\rm{ - }}s/k{g^2}\)

\(kg/m{\rm{ - }}{s^2}\)

\(kg/m{\rm{ - }}s\)

Questions 22 of 50

Question:Dimensional formula for latent heat is

Answers Choices:

\({M^0}{L^2}{T^{ - 2}}\)

\(ML{T^{ - 2}}\)

\(M{L^2}{T^{ - 2}}\)

\(M{L^2}{T^{ - 1}}\)

Questions 23 of 50

Question:Dimensional formula for volume elasticity is

Answers Choices:

\({M^1}{L^{ - 2}}{T^{ - 2}}\)

\({M^1}{L^{ - 3}}{T^{ - 2}}\)

\({M^1}{L^2}{T^{ - 2}}\)

\({M^1}{L^{ - 1}}{T^{ - 2}}\)

Questions 24 of 50

Question:The dimensions of universal gravitational constant are

Answers Choices:

\({M^{ - 2}}{L^2}{T^{ - 2}}\)

\({M^{ - 1}}{L^3}{T^{ - 2}}\)

\(M{L^{ - 1}}{T^{ - 2}}\)

\(M{L^2}{T^{ - 2}}\)

Questions 25 of 50

Question:If \(V\) denotes the potential difference across the plates of a capacitor of capacitance \(C\), the dimensions of \(C{V^2}\)are

Answers Choices:

Not expressible in \(MLT\)

\(ML{T^{ - 2}}\)

\({M^2}L{T^{ - 1}}\)

\(M{L^2}{T^{ - 2}}\)

Questions 26 of 50

Question:If \(L\) denotes the inductance of an inductor through which a current \(i\) is flowing, the dimensions of \(L{i^2}\) are

Answers Choices:

\(M{L^2}{T^{ - 2}}\)

Not expressible in \(MLT\)

\(ML{T^{ - 2}}\)

\({M^2}{L^2}{T^{ - 2}}\)

Questions 27 of 50

Question:Of the following quantities, which one has dimensions different from the remaining three

Answers Choices:

Energy per unit volume

Force per unit area

Product of voltage and charge per unit volume

Angular momentum per unit mass

Questions 28 of 50

Question:If \(C\) and \(L\) denote capacitance and inductance respectively, then the dimensions of \(LC\) are

Answers Choices:

\({M^0}{L^0}{T^0}\)

\({M^0}{L^0}{T^2}\)

\({M^2}{L^0}{T^2}\)

\(ML{T^2}\)

Questions 29 of 50

Question:Which of the following quantities has the same dimensions as that of energy

Answers Choices:

Power

Force

Momentum

Work

Questions 30 of 50

Question:The dimensions of "time constant" \(\frac{L}{R}\) during growth and decay of current in all inductive circuit is same as that of

Answers Choices:

Constant

Resistance

Current

Time

Questions 31 of 50

Question:The dimension of \(\frac{1}{{\sqrt {{\varepsilon _0}{\mu _0}} }}\) is that of

Answers Choices:

Velocity

Time

Capacitance

Distance

Questions 32 of 50

Question:An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle

Answers Choices:

\(ML{T^{ - 2}}\)

\(M{L^2}{T^{ - 2}}\)

\(ML{T^2}\)

\(L\)

Questions 33 of 50

Question:The foundations of dimensional analysis were laid down by

Answers Choices:

Gallileo

Newton

Fourier

Joule

Questions 34 of 50

Question:The dimension of the ratio of angular to linear momentum is

Answers Choices:

\({M^0}{L^1}{T^0}\)

\({M^1}{L^1}{T^{ - 1}}\)

\({M^1}{L^2}{T^{ - 1}}\)

\({M^{ - 1}}{L^{ - 1}}{T^{ - 1}}\)

Questions 35 of 50

Question:The pair having the same dimensions is

Answers Choices:

Angular momentum, work

Work, torque

Potential energy, linear momentum

Kinetic energy, velocity

Questions 36 of 50

Question:Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful

Answers Choices:

\(A/B\)

\(A + B\)

\(A - B\)

None

Questions 37 of 50

Question:Given that \(v\) is speed, \(r\) is the radius and \(g\) is the acceleration due to gravity. Which of the following is dimensionless

Answers Choices:

\({v^2}/rg\)

\({v^2}r/g\)

\({v^2}g/r\)

\({v^2}rg\)

Questions 38 of 50

Question:Out of the following which pair of quantities do not have same dimensions

Answers Choices:

Planck's constant and angular momentum

Work and energy

Pressure and Young's modulus

Torque & moment of inertia

Questions 39 of 50

Question:Identify the pair which has different dimensions

Answers Choices:

Planck's constant and angular momentum

Impulse and linear momentum

Angular momentum and frequency

Pressure and Young's modulus

Questions 40 of 50

Question:The dimensions of \(K\) in the equation \(W = \frac{1}{2}\,\,K{x^2}\) is

Answers Choices:

\({M^1}{L^0}{T^{ - 2}}\)

\({M^0}{L^1}{T^{ - 1}}\)

\({M^1}{L^1}{T^{ - 2}}\)

\({M^1}{L^0}{T^{ - 1}}\)

Questions 41 of 50

Question:The physical quantities not having same dimensions are

Answers Choices:

Speed and \({({\mu _0}{\varepsilon _0})^{ - 1/2}}\)

Torque and work

Momentum and Planck's constant

Stress and Young's modules

Questions 42 of 50

Question:Dimension of \(R\) is

Answers Choices:

\(M{L^2}{T^{ - 1}}\)

\(M{L^2}{T^{ - 3}}{A^{ - 2}}\)

\(M{L^{ - 1}}{T^{ - 2}}\)

None of these

Questions 43 of 50

Question:In a system of units if force (F), acceleration and time (T) are taken as fundamental units then the dimensional formula of energy is

Answers Choices:

\(F{A^2}T\)

\(FA{T^2}\)

\({F^2}AT\)

\(FAT\)

Questions 44 of 50

Question:Out of the following pair, which one does not have identical dimensions

Answers Choices:

Moment of inertia and moment of force

Work and torque

Angular momentum and Planck's constant

Impulse and momentum

Questions 45 of 50

Question:The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of

Answers Choices:

Frequency

Velocity

Angular momentum

Time

Questions 46 of 50

Question:Accuracy of measurement is determined by

Answers Choices:

Absolute error

Percentage error

Both

None of these

Questions 47 of 50

Question:The radius of a sphere is (5.3 ± 0.1) cm. The percentage error in its volume is

Answers Choices:

\(\frac{{0.1}}{{5.3}} \times 100\)

\(3 \times \frac{{0.1}}{{5.3}} \times 100\)

\(\frac{{0.1 \times 100}}{{3.53}}\)

\(3 + \frac{{0.1}}{{5.3}} \times 100\)

Questions 48 of 50

Question:A thin copper wire of length l metre increases in length by 2% when heated through 10ºC. What is the percentage increase in area when a square copper sheet of length l metre is heated through 10ºC

Answers Choices:

4%

8%

16%

None of the above

Questions 49 of 50

Question:A physical quantity is given by \(X = {M^a}{L^b}{T^c}\). The percentage error in measurement of \(M,L\)and T are \(\alpha ,\beta \)and \(\gamma \) respectively. Then maximum percentage error in the quantity X is

Answers Choices:

\(a\alpha + b\beta + c\gamma \)

\(a\alpha + b\beta - c\gamma

\)

\(\frac{a}{\alpha } + \frac{b}{\beta } + \frac{c}{\gamma }\)

None of these

Questions 50 of 50

Question:A physical quantity A is related to four observable \(a,b,c\) and d as follows, \(A = \frac{{{a^2}{b^3}}}{{c\sqrt d }}\), 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

Answers Choices:

12%

7%

5%

14%