Total Questions:50 Total Time: 60 Min
Remaining:
Question:Which of the following is not a unit of energy
\(W{\rm{ - s}}\)
\(kg{\rm{ - }}m/\sec \)
\(N{\rm{ - }}m\)
Joule
Question:In \(S = a + bt + c{t^2}\). \(S\) is measured in metres and \(t\) in seconds. The unit of \(c\) is
None
\(m\)
\(m{s^{ - 1}}\)
\(m{s^{ - 2}}\)
Question:Joule-second is the unit of
Work
Momentum
Pressure
Angular momentum
Question:The unit of surface tension in SI system is
\(Dyne/c{m^2}\)
\(Newton/m\)
\(Dyne/cm\)
\(Newton/{m^2}\)
Question:The unit of reduction factor of tangent galvanometer is
Ampere
Gauss
Radian
None of these
Question:The unit of self inductance of a coil is
Farad
Henry
Weber
Tesla
Question:\(Ampere - hour\) is a unit of
Quantity of electricity
Strength of electric current
Power
Energy
Question:The unit of specific resistance is
\(Ohm/c{m^2}\)
\(Ohm/cm\)
\(Ohm - cm\)
\({(Ohm - cm)^{ - 1}}\)
Question:The binding energy of a nucleon in a nucleus is of the order of a few
\(eV\)
\(Ergs\)
\(MeV\)
\(Volts\)
Question:In SI, Henry is the unit of
Self inductance
Mutual inductance
(1) and (2) both
None of the above
Question:The unit of \(e.m.f.\)is
Joule-Coulomb
Voltâ€“Coulomb
Joule/Coulomb
Question:Which of the following is not the unit of time
Micro second
Leap year
Lunar months
Parallactic second
Solar day
Question:Which is not a unit of electric field
\(N{C^{ - 1}}\)
\(V{m^{ - 1}}\)
\(J{C^{ - 1}}\)
\(J{C^{ - 1}}{m^{ - 1}}\)
Question:The correct value of \({0^o}C\) on the Kelvin scale is
\(273.15K\)
\(272.85\,K\)
\(273\,K\)
\(273.2\,K\)
Question:'Torr' is the unit of
Volume
Density
Flux
Question:Faraday is the unit of
Charge
emf
Mass
Question:Candela is the unit of
Electric intensity
Luminous intensity
Sound intensity
Question:The unit of reactance is
Ohm
Volt
Mho
Newton
Question:Dimensional formula \(M{L^2}{T^{ - 3}}\) represents
Force
Question:The dimensions of calorie are
\(M{L^2}{T^{ - 2}}\)
\(ML{T^{ - 2}}\)
\(M{L^2}{T^{ - 1}}\)
\(M{L^2}{T^{ - 3}}\)
Question:Whose dimensions is \(M{L^2}{T^{ - 1}}\)
Torque
Question:The dimensional formula for \(r.m.s.\) (root mean square) velocity is
\({M^0}L{T^{ - 1}}\)
\({M^0}{L^0}{T^{ - 2}}\)
\({M^0}{L^0}{T^{ - 1}}\)
\(ML{T^{ - 3}}\)
Question:The dimensional formula for Planck's constant \((h)\) is
\(M{L^{ - 2}}{T^{ - 3}}\)
\(M{L^{ - 2}}{T^{ - 2}}\)
Question:Out of the following, the only pair that does not have identical dimensions is
Angular momentum and Planck's constant
Moment of inertia and moment of a force
Work and torque
Impulse and momentum
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
\(LT\)
\(T\)
\({T^{ - 1}}\)
\({T^2}\)
Question:The dimensions of coefficient of thermal conductivity is
\(M{L^2}{T^{ - 2}}{K^{ - 1}}\)
\(ML{T^{ - 3}}{K^{ - 1}}\)
\(ML{T^{ - 2}}{K^{ - 1}}\)
\(ML{T^{ - 3}}K\)
Question:Which one has the dimensions different from the remaining three
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
\({v_T} \propto \frac{{mg}}{{\eta r}}\)
\({v_T} \propto \frac{{\eta r}}{{mg}}\)
\({v_T} \propto \eta rmg\)
\({v_T} \propto \frac{{mgr}}{\eta }\)
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
Resistance
Voltage
Current
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
\(x = 1,\,\,y = 1,\,\,z = - 1\)
\(x = 1,\,y = - 1,\,z = 1\)
\(x = - 1,\,y = 1,\,z = 1\)
\(x = 1,\,y = 1,\,z = 1\)
Question:Inductance \(L\) can be dimensionally represented as
\(M{L^2}{T^{ - 2}}{A^{ - 2}}\)
\(M{L^2}{T^{ - 4}}{A^{ - 3}}\)
\(M{L^{ - 2}}{T^{ - 2}}{A^{ - 2}}\)
\(M{L^2}{T^4}{A^3}\)
Question:Dimensions of strain are
\(ML{T^{ - 1}}\)
\({M^0}{L^0}{T^0}\)
Question:The dimensions of Planck's constant and angular momentum are respectively
\(M{L^2}{T^{ - 1}}\) 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 \(M{L^2}{T^{ - 2}}\)
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
\([{\varepsilon _0}] = {M^{ - 1}}{L^{ - 3}}{T^2}I\)
\([{\varepsilon _0}] = {M^{ - 1}}{L^{ - 3}}{T^4}{I^2}\)
\([{\mu _0}] = ML{T^{ + 2}}{I^{ + 2}}\)
\([{\mu _0}] = M{L^2}{T^{ - 1}}I\)
Question:Dimensions of \(CR\) are those of
Frequency
Time period
Question:Dimension of electric current is
\([{M^0}{L^0}{T^{ - 1}}Q]\)
\([M{L^2}{T^{ - 1}}Q]\)
\([{M^2}L{T^{ - 1}}Q]\)
\([{M^2}{L^2}{T^{ - 1}}Q]\)
Question:The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are
Mass, time
Time, length
Mass, length
Time, mole
Question:If pressure \(P\), velocity \(V\) and time \(T\) are taken as fundamental physical quantities, the dimensional formula of force is
\(P{V^2}{T^2}\)
\({P^{ - 1}}{V^2}{T^{ - 2}}\)
\(PV{T^2}\)
\({P^{ - 1}}V{T^2}\)
Question:Identify the pair whose dimensions are equal
Torque and work
Stress and energy
Force and stress
Force and work
Question:The dimensions of pressure is equal to
Force per unit volume
Energy per unit volume
Question:Which of the two have same dimensions
Force and strain
Angular velocity and frequency
Energy and strain
Question:The dimensions of shear modulus are
\(M{L^{ - 1}}{T^{ - 2}}\)
Question:Pressure gradient has the same dimension as that of
Velocity gradient
Potential gradient
Energy gradient
Question:If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be
\(F{L^{ - 1}}{T^2}\)
\(F{L^{ - 1}}{T^{ - 2}}\)
\(F{L^{ - 1}}{T^{ - 1}}\)
\(F{L^2}{T^2}\)
Question:What is the number of significant figures in 0.310 Ã— 10\(^3\)
2
3
4
6
Question:Error in the measurement of radius of a sphere is 1%. The error in the calculated value of its volume is
1%
3%
5%
7%
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
(2.00 \( \pm \) 0.01) s
(2.00 +0.025) s
(2.00 \( \pm \) 0.05) s
(2.00 \( \pm \) 0.10) s
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
7.96%
4.56%
6.50%
8.42%
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
\( \pm \)17%
\( \pm \)16%
\( \pm \)19%
\( \pm \)25%
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
25%
50%
100%
125%