Units and Measurement Test 5

Total Questions:50 Total Time: 60 Min

Remaining:

 

Questions 1 of 50

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

Answers Choices:

\(W{\rm{ - s}}\)

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

\(N{\rm{ - }}m\)

Joule

Questions 2 of 50

Question:In \(S = a + bt + c{t^2}\). \(S\) is measured in metres and \(t\) in seconds. The unit of \(c\) is

Answers Choices:

None

\(m\)

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

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

Questions 3 of 50

Question:Joule-second is the unit of

Answers Choices:

Work

Momentum

Pressure

Angular momentum

Questions 4 of 50

Question:The unit of surface tension in SI system is

Answers Choices:

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

\(Newton/m\)

\(Dyne/cm\)

\(Newton/{m^2}\)

Questions 5 of 50

Question:The unit of reduction factor of tangent galvanometer is

Answers Choices:

Ampere

Gauss

Radian

None of these

Questions 6 of 50

Question:The unit of self inductance of a coil is

Answers Choices:

Farad

Henry

Weber

Tesla

Questions 7 of 50

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

Answers Choices:

Quantity of electricity

Strength of electric current

Power

Energy

Questions 8 of 50

Question:The unit of specific resistance is

Answers Choices:

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

\(Ohm/cm\)

\(Ohm - cm\)

\({(Ohm - cm)^{ - 1}}\)

Questions 9 of 50

Question:The binding energy of a nucleon in a nucleus is of the order of a few

Answers Choices:

\(eV\)

\(Ergs\)

\(MeV\)

\(Volts\)

Questions 10 of 50

Question:In SI, Henry is the unit of

Answers Choices:

Self inductance

Mutual inductance

(1) and (2) both

None of the above

Questions 11 of 50

Question:The unit of \(e.m.f.\)is

Answers Choices:

Joule

Joule-Coulomb

Volt–Coulomb

Joule/Coulomb

Questions 12 of 50

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

Answers Choices:

Micro second

Leap year

Lunar months

Parallactic second

Solar day

Questions 13 of 50

Question:Which is not a unit of electric field

Answers Choices:

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

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

\(J{C^{ - 1}}\)

\(J{C^{ - 1}}{m^{ - 1}}\)

Questions 14 of 50

Question:The correct value of \({0^o}C\) on the Kelvin scale is

Answers Choices:

\(273.15K\)

\(272.85\,K\)

\(273\,K\)

\(273.2\,K\)

Questions 15 of 50

Question:'Torr' is the unit of

Answers Choices:

Pressure

Volume

Density

Flux

Questions 16 of 50

Question:Faraday is the unit of

Answers Choices:

Charge

emf

Mass

Energy

Questions 17 of 50

Question:Candela is the unit of

Answers Choices:

Electric intensity

Luminous intensity

Sound intensity

None of these

Questions 18 of 50

Question:The unit of reactance is

Answers Choices:

Ohm

Volt

Mho

Newton

Questions 19 of 50

Question:Dimensional formula \(M{L^2}{T^{ - 3}}\) represents

Answers Choices:

Force

Power

Energy

Work

Questions 20 of 50

Question:The dimensions of calorie are

Answers Choices:

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

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

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

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

Questions 21 of 50

Question:Whose dimensions is \(M{L^2}{T^{ - 1}}\)

Answers Choices:

Torque

Angular momentum

Power

Work

Questions 22 of 50

Question:The dimensional formula for \(r.m.s.\) (root mean square) velocity is

Answers Choices:

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

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

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

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

Questions 23 of 50

Question:The dimensional formula for Planck's constant \((h)\) is

Answers Choices:

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

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

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

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

Questions 24 of 50

Question:Out of the following, the only pair that does not have identical dimensions is

Answers Choices:

Angular momentum and Planck's constant

Moment of inertia and moment of a force

Work and torque

Impulse and momentum

Questions 25 of 50

Question:The equation of a wave is given by \(Y = A\sin \omega \left( {\frac{x}{v} - k} \right)\) where \(\omega \) is the angular velocity and \(v\) is the linear velocity. The dimension of \(k\) is

Answers Choices:

\(LT\)

\(T\)

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

\({T^2}\)

Questions 26 of 50

Question:The dimensions of coefficient of thermal conductivity is

Answers Choices:

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

\(ML{T^{ - 3}}{K^{ - 1}}\)

\(ML{T^{ - 2}}{K^{ - 1}}\)

\(ML{T^{ - 3}}K\)

Questions 27 of 50

Question:Which one has the dimensions different from the remaining three

Answers Choices:

Power

Work

Torque

Energy

Questions 28 of 50

Question:A small steel ball of radius \(r\) is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity \(\eta \). After some time the velocity of the ball attains a constant value known as terminal velocity \({v_T}\). The terminal velocity depends on (i) the mass of the ball \(m\), (ii) \(\eta \), (iii) \(r\) and (iv) acceleration due to gravity \(g\). Which of the following relations is dimensionally correct

Answers Choices:

\({v_T} \propto \frac{{mg}}{{\eta r}}\)

\({v_T} \propto \frac{{\eta r}}{{mg}}\)

\({v_T} \propto \eta rmg\)

\({v_T} \propto \frac{{mgr}}{\eta }\)

Questions 29 of 50

Question:The quantity \(X = \frac{{{\varepsilon _0}LV}}{t}\): \({\varepsilon _0}\) is the permittivity of free space, \(L\)is length, \(V\) is potential difference and \(t\) is time. The dimensions of \(X\) are same as that of

Answers Choices:

Resistance

Charge

Voltage

Current

Questions 30 of 50

Question:If \(P\) represents radiation pressure, \(c\) represents speed of light and \(Q\) represents radiation energy striking a unit area per second, then non-zero integers \(x,\,y\) and \(z\) such that \({P^x}{Q^y}{c^z}\) is dimensionless, are

Answers Choices:

\(x = 1,\,\,y = 1,\,\,z = - 1\)

\(x = 1,\,y = - 1,\,z = 1\)

\(x = - 1,\,y = 1,\,z = 1\)

\(x = 1,\,y = 1,\,z = 1\)

Questions 31 of 50

Question:Inductance \(L\) can be dimensionally represented as

Answers Choices:

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

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

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

\(M{L^2}{T^4}{A^3}\)

Questions 32 of 50

Question:Dimensions of strain are

Answers Choices:

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

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

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

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

Questions 33 of 50

Question:The dimensions of Planck's constant and angular momentum are respectively

Answers Choices:

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

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

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

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

Questions 34 of 50

Question:Let \([{\varepsilon _0}]\) denotes the dimensional formula of the permittivity of the vacuum and \([{\mu _0}]\) that of the permeability of the vacuum. If \(M = {\rm{mass}}\), \(L = {\rm{length}}\), \(T = {\rm{Time}}\) and \(I = {\rm{electric current}}\), then

Answers Choices:

\([{\varepsilon _0}] = {M^{ - 1}}{L^{ - 3}}{T^2}I\)

\([{\varepsilon _0}] = {M^{ - 1}}{L^{ - 3}}{T^4}{I^2}\)

\([{\mu _0}] = ML{T^{ + 2}}{I^{ + 2}}\)

\([{\mu _0}] = M{L^2}{T^{ - 1}}I\)

Questions 35 of 50

Question:Dimensions of \(CR\) are those of

Answers Choices:

Frequency

Energy

Time period

Current

Questions 36 of 50

Question:Dimension of electric current is

Answers Choices:

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

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

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

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

Questions 37 of 50

Question:The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are

Answers Choices:

Mass, time

Time, length

Mass, length

Time, mole

Questions 38 of 50

Question:If pressure \(P\), velocity \(V\) and time \(T\) are taken as fundamental physical quantities, the dimensional formula of force is

Answers Choices:

\(P{V^2}{T^2}\)

\({P^{ - 1}}{V^2}{T^{ - 2}}\)

\(PV{T^2}\)

\({P^{ - 1}}V{T^2}\)

Questions 39 of 50

Question:Identify the pair whose dimensions are equal

Answers Choices:

Torque and work

Stress and energy

Force and stress

Force and work

Questions 40 of 50

Question:The dimensions of pressure is equal to

Answers Choices:

Force per unit volume

Energy per unit volume

Force

Energy

Questions 41 of 50

Question:Which of the two have same dimensions

Answers Choices:

Force and strain

Force and stress

Angular velocity and frequency

Energy and strain

Questions 42 of 50

Question:The dimensions of shear modulus are

Answers Choices:

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

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

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

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

Questions 43 of 50

Question:Pressure gradient has the same dimension as that of

Answers Choices:

Velocity gradient

Potential gradient

Energy gradient

None of these

Questions 44 of 50

Question:If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be

Answers Choices:

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

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

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

\(F{L^2}{T^2}\)

Questions 45 of 50

Question:What is the number of significant figures in 0.310 × 10\(^3\)

Answers Choices:

2

3

4

6

Questions 46 of 50

Question:Error in the measurement of radius of a sphere is 1%. The error in the calculated value of its volume is

Answers Choices:

1%

3%

5%

7%

Questions 47 of 50

Question:The mean time period of second's pendulum is 2.00s and mean absolute error in the time period is 0.05s. To express maximum estimate of error, the time period should be written as

Answers Choices:

(2.00 \( \pm \) 0.01) s

(2.00 +0.025) s

(2.00 \( \pm \) 0.05) s

(2.00 \( \pm \) 0.10) s

Questions 48 of 50

Question:In an experiment, the following observation's were recorded : L = 2.820 m, M = 3.00 kg, l = 0.087 cm, Diameter D = 0.041 cm Taking g = 9.81 \(m/{s^2}\)using the formula , Y=\(\frac{{4MgL}}{{\pi {D^2}l}}\), the maximum permissible error in Y is

Answers Choices:

7.96%

4.56%

6.50%

8.42%

Questions 49 of 50

Question:According to Joule's law of heating, heat produced \(H = {I^2}\) Rt, where I is current, R is resistance and t is time. If the errors in the measurement of I, R and t are 3%, 4% and 6% respectively then error in the measurement of H is

Answers Choices:

\( \pm \)17%

\( \pm \)16%

\( \pm \)19%

\( \pm \)25%

Questions 50 of 50

Question:If there is a positive error of 50% in the measurement of velocity of a body, then the error in the measurement of kinetic energy is

Answers Choices:

25%

50%

100%

125%