Units and Measurement Test 3

Total Questions:50 Total Time: 60 Min

Remaining:

 

Questions 1 of 50

Question:A micron is related to centimetre as

Answers Choices:

\(1\,micron = {10^{ - 8}}cm\)

\(1\,micron = {10^{ - 6}}cm\)

\(1\,micron = {10^{ - 5}}cm\)

\(1\,micron = {10^{ - 4}}\,cm\)

Questions 2 of 50

Question:The unit of power is

Answers Choices:

Joule

Joule per second only

Joule per second and watt both

Only watt

Questions 3 of 50

Question:A suitable unit for gravitational constant is

Answers Choices:

\(kg{\rm{ - }}\,m{\sec ^{ - 1}}\)

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

\(N\,\,{m^2}\,k{g^{ - 2}}\)

\(kg\,m\,{\sec ^{ - 1}}\)

Questions 4 of 50

Question:Unit of energy is

Answers Choices:

\(J/\sec \)

\(Watt - day\)

\(Kilowatt\)

\(gm{\rm{ - }}cm/{\sec ^2}\)

Questions 5 of 50

Question:Which is the correct unit for measuring nuclear radii

Answers Choices:

Micron

Millimetre

Angstrom

Fermi

Questions 6 of 50

Question:One Mach number is equal to

Answers Choices:

Velocity of light

Velocity of sound \((332\,\,m/\sec )\)

\(1\,\,km/\sec \)

\(1\,m/\sec \)

Questions 7 of 50

Question:\(Kilowatt - hour\) is a unit of

Answers Choices:

Electrical charge

Energy

Power

Force

Questions 8 of 50

Question:What is the SI unit of permeability

Answers Choices:

Henry per metre

Tesla metre per ampere

Weber per ampere metre

All the above units are correct

Questions 9 of 50

Question:In which of the following systems of unit, \(Weber\) is the unit of magnetic flux

Answers Choices:

CGS

MKS

SI

None of these

Questions 10 of 50

Question:Unit of stress is

Answers Choices:

\(N/m\)

\(N - m\)

\(N/{m^2}\)

\(N - {m^2}\)

Questions 11 of 50

Question:Unit of Stefan's constant is

Answers Choices:

\(J\,{s^{ - 1}}\)

\(J\,{m^{ - 2}}{s^{ - 1}}{K^{ - 4}}\)

\(J\,{m^{ - 2}}\)

\(J\,s\)

Questions 12 of 50

Question:Unit of magnetic moment is

Answers Choices:

\(Ampere - metr{e^2}\)

\(Ampere - metre\)

\(Weber - metr{e^2}\)

\(Weber/metre\)

Questions 13 of 50

Question:The unit of absolute permittivity is

Answers Choices:

\(Fm\) (Farad-meter)

\(F{m^{ - 1}}\) (Farad/meter)

\(F{m^{ - 2}}\)(Farad/\(metr{e^2}\))

\(F\) (Farad)

None of these

Questions 14 of 50

Question:Which relation is wrong

Answers Choices:

1 Calorie = 4.18 Joules

\(1{\AA} = {10^{ - 10}}m\)

\(1\,\,MeV = 1.6 \times {10^{ - 13}}Joules\)

\(1\,Newton = {10^{ - 5}}Dynes\)

Questions 15 of 50

Question:If \(x = at + b{t^2}\), where \(x\) is the distance travelled by the body in kilometres while \(t\) is the time in seconds, then the units of b are

Answers Choices:

\(km/s\)

\(km - s\)

\(km/{s^2}\)

\(km - {s^2}\)

Questions 16 of 50

Question:In C.G.S. system the magnitutde of the force is 100 dynes. In another system where the fundamental physical quantities are kilogram, metre and minute, the magnitude of the force is

Answers Choices:

0.04

0.36

3.6

36

Questions 17 of 50

Question:The unit of \(L/R\) is (where \(L\) = inductance and \(R\) = resistance)

Answers Choices:

\(\sec \)

\({\sec ^{ - 1}}\)

Volt

Ampere

Questions 18 of 50

Question:Which is different from others by units

Answers Choices:

Phase difference

Mechanical equivalent

Loudness of sound

Poisson's ratio

Questions 19 of 50

Question:The unit of Young’s modulus is

Answers Choices:

\(N{m^2}\)

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

Nm

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

Questions 20 of 50

Question:One femtometer is equivalent to

Answers Choices:

\({10^{15}}\,m\)

\({10^{ - 15}}\,m\)

\({10^{ - 12}}\,m\)

\({10^{12}}\,m\)

Questions 21 of 50

Question:How many wavelength of \(K{r^{86}}\) are there in one metre

Answers Choices:

1553164.13

1650763.73

652189.63

2348123.73

Questions 22 of 50

Question:The dimensional formula of angular velocity is

Answers Choices:

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

\(ML{T^{ - 1}}\)

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

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

Questions 23 of 50

Question:The dimensions of power are

Answers Choices:

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

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

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

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

Questions 24 of 50

Question:The dimensions of couple are

Answers Choices:

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

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

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

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

Questions 25 of 50

Question:A spherical body of mass \(m\) and radius \(r\) is allowed to fall in a medium of viscosity \(\eta \). The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity \((v)\) is called time constant \((\tau )\) . Dimensionally \(\tau \) can be represented by

Answers Choices:

\(\frac{{m{r^2}}}{{6\pi \eta }}\)

\(\sqrt {\left( {\frac{{6\pi mr\eta }}{{{g^2}}}} \right)} \)

\(\frac{m}{{6\pi \eta rv}}\)

None of the above

Questions 26 of 50

Question:The frequency of vibration \(f\) of a mass \(m\) suspended from a spring of spring constant \(K\)is given by a relation of this type \(f = C\,{m^x}{K^y}\); where \(C\) is a dimensionless quantity. The value of \(x\) and \(y\) are

Answers Choices:

\(x = \frac{1}{2},\,y = \frac{1}{2}\)

\(x = - \frac{1}{2},\,y = - \frac{1}{2}\)

\(x = \frac{1}{2},\,y = - \frac{1}{2}\)

\(x = - \frac{1}{2},\,y = \frac{1}{2}\)

Questions 27 of 50

Question:The quantities \(A\)and \(B\) are related by the relation, \(m = A/B\), where \(m\) is the linear density and \(A\) is the force. The dimensions of \(B\) are of

Answers Choices:

Pressure

Work

Latent heat

None of the above

Questions 28 of 50

Question:The period of a body under SHM i.e. presented by \(T = {P^a}{D^b}{S^c}\); where \(P\) is pressure, \(D\) is density and \(S\) is surface tension. The value of \(a,\,b\) and \(c\) are

Answers Choices:

\( - \frac{3}{2},\,\frac{1}{2},\,1\)

\( - 1,\, - 2,\,3\)

\(\frac{1}{2},\, - \frac{3}{2},\, - \frac{1}{2}\)

\(1,\,2,\,\frac{1}{3}\)

Questions 29 of 50

Question:Which of the following pairs of physical quantities has the same dimensions

Answers Choices:

Work and power

Momentum and energy

Force and power

Work and energy

Questions 30 of 50

Question:The velocity of a freely falling body changes as \({g^p}{h^q}\) where g is acceleration due to gravity and \(h\) is the height. The values of \(p\) and \(q\) are

Answers Choices:

\(1,\frac{1}{2}\)

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

\(\frac{1}{2},\,1\)

\(1,\,1\)

Questions 31 of 50

Question:The dimensional formula of wave number is

Answers Choices:

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

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

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

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

Questions 32 of 50

Question:The dimensions of stress are equal to

Answers Choices:

Force

Pressure

Work

\(\frac{1}{{{\rm{Pressure}}}}\)

Questions 33 of 50

Question:The dimensions of surface tension are

Answers Choices:

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

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

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

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

Questions 34 of 50

Question:In the following list, the only pair which have different dimensions, is

Answers Choices:

Linear momentum and moment of a force

Planck's constant and angular momentum

Pressure and modulus of elasticity

Torque and potential energy

Questions 35 of 50

Question:If \(R\) and \(L\) represent respectively resistance and self inductance, which of the following combinations has the dimensions of frequency

Answers Choices:

\(\frac{R}{L}\)

\(\frac{L}{R}\)

\(\sqrt {\frac{R}{L}} \)

\(\sqrt {\frac{L}{R}} \)

Questions 36 of 50

Question:The physical quantity which has the dimensional formula \({M^1}{T^{ - 3}}\) is

Answers Choices:

Surface tension

Solar constant

Density

Compressibility

Questions 37 of 50

Question:A force \(F\) is given by \(F = at + b{t^2}\), where \(t\) is time. What are the dimensions of \(a\) and \(b\)

Answers Choices:

\(ML{T^{ - 3}}\) and \(M{L^2}{T^{ - 4}}\)

\(ML{T^{ - 3}}\) and \(ML{T^{ - 4}}\)

\(ML{T^{ - 1}}\) and \(ML{T^0}\)

\(ML{T^{ - 4}}\) and \(ML{T^1}\)

Questions 38 of 50

Question:The dimensions of inter atomic force constant are

Answers Choices:

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

\(ML{T^{ - 1}}\)

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

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

Questions 39 of 50

Question:The dimensional formula \({M^0}{L^2}{T^{ - 2}}\) stands for

Answers Choices:

Torque

Angular momentum

Latent heat

Coefficient of thermal conductivity

Questions 40 of 50

Question:Which of the following represents the dimensions of Farad

Answers Choices:

\({M^{ - 1}}{L^{ - 2}}{T^4}{A^2}\)

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

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

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

Questions 41 of 50

Question:If \(L,\,C\) and \(R\) denote the inductance, capacitance and resistance respectively, the dimensional formula for \({C^2}LR\) is

Answers Choices:

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

\([{M^0}{L^0}{T^3}{I^0}]\)

\([{M^{ - 1}}{L^{ - 2}}{T^6}{I^2}]\)

\([{M^0}{L^0}{T^2}{I^0}]\)

Questions 42 of 50

Question:The dimensional formula of relative density is [CPMT 2003]

Answers Choices:

\(M{L^{ - 3}}\)

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

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

Dimensionless

Questions 43 of 50

Question:The dimensional formula for young's modulus is

Answers Choices:

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

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

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

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

Questions 44 of 50

Question:Frequency is the function of density \((\rho )\), length \(\) and surface tension \((T)\). Then its value is

Answers Choices:

\(k{\rho ^{1/2}}{a^{3/2}}{\bf{/}}\sqrt T \)

\(k{\rho ^{3/2}}{a^{3/2}}/\sqrt T \)

\(k{\rho ^{1/2}}{a^{3/2}}/{T^{3/4}}\)

\(k{\rho ^{1/2}}{a^{1/2}}/{T^{3/2}}\)

Questions 45 of 50

Question:Which of the following group have different dimension

Answers Choices:

Potential difference, EMF, voltage

Pressure, stress, young's modulus

Heat, energy, work-done

Dipole moment, electric flux, electric field

Questions 46 of 50

Question:Out of following four dimensional quantities, which one quantity is to be called a dimensional constant

Answers Choices:

cceleration due to gravity

Surface tension of water

Weight of a standard kilogram mass

The velocity of light in vacuum

Questions 47 of 50

Question:Density of a liquid in CGS system is 0.625\(g/c{m^3}\). What is its magnitude in SI system

Answers Choices:

0.63

0.06

0.01

625

Questions 48 of 50

Question:In the context of accuracy of measurement and significant figures in expressing results of experiment, which of the following is/are correct (1) Out of the two measurements 50.14 cm and 0.00025 ampere, the first one has greater accuracy (2) If one travels 478 km by rail and 397 m. by road, the total

Answers Choices:

distance travelled is 478 km.

Only (1) is correct

Only (2) is correct

Both are correct

None of them is correct.

Questions 49 of 50

Question:A physical parameter a can be determined by measuring the parameters b, c, d and e using the relation a = \({b^\alpha }{c^\beta }/{d^\gamma }{e^\delta }\). If the maximum errors in the measurement of b, c, d and e are \({b_1}\)%, \({c_1}\)%, \({d_1}\)% and \({e_1}\)%, then the maximum error in the value of a determined by the experiment is

Answers Choices:

(\({b_1}\, + \,{c_1}\, + \,{d_1}\, + \,{e_1}\))%

(\({b_{1\,}}\, + \,{c_1}\, - \,{d_1}\, - \,{e_1}\))%

(\(\alpha {b_1}\, + \,\beta {c_1}\, - \,\gamma {d_1}\, - \delta {e_1}\))%

(\(\alpha {b_1} + \,\beta {c_1}\, + \,\gamma {d_1}\, + \,\delta {e_1}\))%

Questions 50 of 50

Question:The relative density of material of a body is found by weighing it first in air and then in water. If the weight in air is (5.00\( \pm 0.05\)) Newton and weight in water is (4.00\( \pm \)0.05) Newton. Then the relative density along with the maximum permissible percentage error is

Answers Choices:

5.0 \( \pm \)11%

5.0 \(

\pm \)1%

5.0 \( \pm \)6%

1.25 \( \pm \)5%