# 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

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

Surface tension =$$N/m$$

Energy $$= kg{\rm{ - }}m/\sec$$

Pressure $$= N/{m^2}$$

## Questions 2 of 50

Question:One second is equal to

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

$${10^9}mm$$

$${10^{ - 6}}\,cm$$

$${10^{ - 7}}cm$$

$${10^{ - 9}}cm$$

## Questions 4 of 50

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

Length and mass

Mass and time

Length, mass and time

None of these

## Questions 5 of 50

Question:Unit of power is

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

500

5

0.5

5000

## Questions 7 of 50

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

Force

Momentum

Power

Acceleration

## Questions 8 of 50

Question:The unit of potential energy is

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

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

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

$$g(cm/\sec )$$

## Questions 9 of 50

Question:Which of the following represents a volt

Joule/second

Watt/Ampere

Watt/Coulomb

Coulomb/Joule

## Questions 10 of 50

Question:Universal time is based on

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

$${10^{ - 20}}\,{m^2}$$

$${10^{ - 30}}\,{m^2}$$

$${10^{ - 28}}\,{m^2}$$

$${10^{ - 14}}\,{m^2}$$

## Questions 12 of 50

Question:Unit of moment of inertia in MKS system

$$kg \times c{m^2}$$

$$kg/c{m^2}$$

$$kg \times {m^2}$$

$$Joule \times m$$

## Questions 13 of 50

Question:Which of the following is smallest unit

Millimetre

Angstrom

Fermi

Metre

## Questions 14 of 50

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

Electric field â€“$$Coulomb/m$$

Magnetic flux â€“ $$Weber$$

Capacitance â€“ Henry

## Questions 15 of 50

Question:The units of modulus of rigidity are

$$N - m$$

$$N/m$$

$$N - {m^2}$$

$$N/{m^2}$$

## Questions 16 of 50

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

Leap year

Micro second

Lunar month

Light year

## Questions 17 of 50

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

$$J$$

$$J{\rm{ - }}k{g^{ - 1}}$$

$$J{\rm{ - }}kg$$

$$J{\rm{ - }}k{g^{ - 2}}$$

## Questions 18 of 50

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

$$N{m^{ - 1}}$$

$$N{m^{ - 2}}$$

$$Dyne\;c{m^{ - 2}}$$

Mega Pascal

## Questions 19 of 50

Question:Unit of surface tension is

$$N{m^{ - 1}}$$

$$N{m^{ - 2}}$$

$${N^2}{m^{ - 1}}$$

$$N{m^{ - 3}}$$

## Questions 20 of 50

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

SI

MKS

FPS

CGS

## Questions 21 of 50

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

$$m/kg{\rm{ - }}s$$

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

$$kg/m{\rm{ - }}{s^2}$$

$$kg/m{\rm{ - }}s$$

## Questions 22 of 50

Question:Dimensional formula for latent heat is

$${M^0}{L^2}{T^{ - 2}}$$

$$ML{T^{ - 2}}$$

$$M{L^2}{T^{ - 2}}$$

$$M{L^2}{T^{ - 1}}$$

## Questions 23 of 50

Question:Dimensional formula for volume elasticity is

$${M^1}{L^{ - 2}}{T^{ - 2}}$$

$${M^1}{L^{ - 3}}{T^{ - 2}}$$

$${M^1}{L^2}{T^{ - 2}}$$

$${M^1}{L^{ - 1}}{T^{ - 2}}$$

## Questions 24 of 50

Question:The dimensions of universal gravitational constant are

$${M^{ - 2}}{L^2}{T^{ - 2}}$$

$${M^{ - 1}}{L^3}{T^{ - 2}}$$

$$M{L^{ - 1}}{T^{ - 2}}$$

$$M{L^2}{T^{ - 2}}$$

## 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

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

$$M{L^2}{T^{ - 2}}$$

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

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

$${M^0}{L^0}{T^0}$$

$${M^0}{L^0}{T^2}$$

$${M^2}{L^0}{T^2}$$

$$ML{T^2}$$

## Questions 29 of 50

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

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

Constant

Resistance

Current

Time

## Questions 31 of 50

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

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

$$ML{T^{ - 2}}$$

$$M{L^2}{T^{ - 2}}$$

$$ML{T^2}$$

$$L$$

## Questions 33 of 50

Question:The foundations of dimensional analysis were laid down by

Gallileo

Newton

Fourier

Joule

## Questions 34 of 50

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

$${M^0}{L^1}{T^0}$$

$${M^1}{L^1}{T^{ - 1}}$$

$${M^1}{L^2}{T^{ - 1}}$$

$${M^{ - 1}}{L^{ - 1}}{T^{ - 1}}$$

## Questions 35 of 50

Question:The pair having the same dimensions is

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

$$A/B$$

$$A + B$$

$$A - B$$

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

$${v^2}/rg$$

$${v^2}r/g$$

$${v^2}g/r$$

$${v^2}rg$$

## Questions 38 of 50

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

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

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

$${M^1}{L^0}{T^{ - 2}}$$

$${M^0}{L^1}{T^{ - 1}}$$

$${M^1}{L^1}{T^{ - 2}}$$

$${M^1}{L^0}{T^{ - 1}}$$

## Questions 41 of 50

Question:The physical quantities not having same dimensions are

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

$$M{L^2}{T^{ - 1}}$$

$$M{L^2}{T^{ - 3}}{A^{ - 2}}$$

$$M{L^{ - 1}}{T^{ - 2}}$$

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

$$F{A^2}T$$

$$FA{T^2}$$

$${F^2}AT$$

$$FAT$$

## Questions 44 of 50

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

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

Frequency

Velocity

Angular momentum

Time

## Questions 46 of 50

Question:Accuracy of measurement is determined by

Absolute error

Percentage error

Both

None of these

## Questions 47 of 50

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

$$\frac{{0.1}}{{5.3}} \times 100$$

$$3 \times \frac{{0.1}}{{5.3}} \times 100$$

$$\frac{{0.1 \times 100}}{{3.53}}$$

$$3 + \frac{{0.1}}{{5.3}} \times 100$$

## Questions 48 of 50

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

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

$$a\alpha + b\beta + c\gamma$$

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

$$\frac{a}{\alpha } + \frac{b}{\beta } + \frac{c}{\gamma }$$

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