Total Questions:50 Total Time: 60 Min
Remaining:
Question:SI unit of pressure is
Pascal
\(Dynes/c{m^2}\)
\(cm\,\) of \(Hg\)
Atmosphere
Question:The unit of angular acceleration in the SI system is
\(N\,k{g^{ - 1}}\)
\(m\,{s^{ - 2}}\)
\(rad\,{s^{ - 2}}\)
\(m\,k{g^{ - 1}}K\)
Question:The unit of Stefan's constant \(\sigma \) is
\(W\,{m^{ - 2}}\,{K^{ - 1}}\)
\(W\,{m^2}\,{K^{ - 4}}\)
\(W\,{m^{ - 2}}\,{K^{ - 4}}\)
\(W\,{m^{ - 2}}\,{K^4}\)
Question:The unit for nuclear dose given to a patient is
Fermi
Rutherford
Curie
Roentgen
Question:Volt/metre is the unit of
Potential
Work
Force
Electric intensity
Question:\(Newton/metr{e^{\rm{2}}}\) is the unit of
Energy
Momentum
Pressure
Question:Tesla is a unit for measuring
Magnetic moment
Magnetic induction
Magnetic pole intensity
Magnetic pole strength
Question:If the unit of length and force be increased four times, then the unit of energy is
Increased 4 times
Increased 8 times
Increased 16 times
Decreased 16 times
Question:Oersted is a unit of
Dip
Magnetic intensity
Pole strength
Question:Curie is a unit of
Energy of g-rays
Half life
Radioactivity
Intensity of g-rays
Question:Hertz is the unit for
Frequency
Electric charge
Magnetic flux
Question:One pico Farad is equal to
\({10^{ - 24}}F\)
\({10^{ - 18}}F\)
\({10^{ - 12}}F\)
\({10^{ - 6}}F\)
Question:The equation \(\left( {P + \frac{a}{{{v^2}}}} \right)\) \((v - b)\) constant. The units of \(a\) are
\(Dyne \times c{m^5}\)
\(Dyne \times c{m^4}\)
\(Dyne/c{m^3}\)
\(Dyne/c{m^2}\)
Question:Which of the following quantity is expressed as force per unit area
Volume
Area
Question:Unit of impulse is
Newton
\(kg - m\)
\(kg - m/s\)
Joule
Question:Length cannot be measured by
Debye
Micron
Light year
Question:The value of Planck's constant is
\(6.63 \times {10^{ - 34}}J{\rm{ - }}\sec \)
\(6.63 \times {10^{34}}J/\sec \)
\(6.63 \times {10^{ - 34}}kg{\rm{ - }}{m^2}\)
\(6.63 \times {10^{34}}kg/\sec \)
Question:A physical quantity is measured and its value is found to be \(nu\) where \(n = \) numerical value and \(u = \) unit. Then which of the following relations is true
\(n \propto {u^2}\)
\(n \propto u\)
\(n \propto \sqrt u \)
\(n \propto \frac{1}{u}\)
Question:Which of the following pairs is wrong
Pressure-Baromter
Relative density-Pyrometer
Temperature-Thermometer
Earthquake-Seismograph
Question:Select the pair whose dimensions are same
Pressure and stress
Stress and strain
Pressure and force
Power and force
Question:Dimensional formula \(M{L^{ - 1}}{T^{ - 2}}\) does not represent the physical quantity
Young's modulus of elasticity
Stress
Strain
Question:Dimensional formula for angular momentum is
\(M{L^2}{T^{ - 2}}\)
\(M{L^2}{T^{ - 1}}\)
\(ML{T^{ - 1}}\)
\({M^0}{L^2}{T^{ - 2}}\)
Question:The dimensional formula for impulse is
\(ML{T^{ - 2}}\)
\({M^2}L{T^{ - 1}}\)
Question:The dimensional formula for the modulus of rigidity is
\(M{L^{ - 1}}{T^{ - 3}}\)
\(M{L^{ - 2}}{T^{ - 2}}\)
\(M{L^{ - 1}}{T^{ - 2}}\)
Question:The velocity of water waves \(v\) may depend upon their wavelength \(\lambda \), the density of water \(\rho \) and the acceleration due to gravity \(g\). The method of dimensions gives the relation between these quantities as
\({v^2}rg\)
\({v^2} \propto
g\lambda \rho \)
\({v^2} \propto g\lambda \)
\({v^2} \propto {g^{ - 1}}{\lambda ^{ - 3}}\)
Question:The dimensions of Farad are
\({M^{ - 1}}{L^{ - 2}}{T^2}{Q^2}\)
\({M^{ - 1}}{L^{ - 2}}TQ\)
\({M^{ - 1}}{L^{ - 2}}{T^{ - 2}}Q\)
\({M^{ - 1}}{L^{ - 2}}T{Q^2}\)
Question:The dimensions of resistivity in terms of \(M,\,L,\,T\) and \(Q\) where \(Q\) stands for the dimensions of charge, is
\(M{L^3}{T^{ - 1}}{Q^{ - 2}}\)
\(M{L^3}{T^{ - 2}}{Q^{ - 1}}\)
\(M{L^2}{T^{ - 1}}{Q^{ - 1}}\)
\(ML{T^{ - 1}}{Q^{ - 1}}\)
Question:Which one of the following does not have the same dimensions
Work and energy
Angle and strain
Relative density and refractive index
Planck constant and energy
Question:Dimensions of frequency are
\({M^0}{L^{ - 1}}{T^0}\)
\({M^0}{L^0}{T^{ - 1}}\)
\({M^0}{L^0}T\)
\(M{T^{ - 2}}\)
Question:The dimensions of pressure are
\(M{L^{ - 2}}{T^2}\)
\(ML{T^2}\)
Question:Dimensions of permeability are
\({A^{ - 2}}{M^1}{L^1}{T^{ - 2}}\)
\(M{L^0}{T^{ - 1}}\)
\({A^{ - 1}}ML{T^2}\)
Question:Dimensional formula of magnetic flux is
\(M{L^2}{T^{ - 2}}{A^{ - 1}}\)
\(M{L^0}{T^{ - 2}}{A^{ - 2}}\)
\({M^0}{L^{ - 2}}{T^{ - 2}}{A^{ - 3}}\)
\(M{L^2}{T^{ - 2}}{A^3}\)
Question:If velocity \(v\), acceleration \(A\) and force \(F\) are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of \(v,\,A\) and \(F\) would be
\(F{A^{ - 1}}v\)
\(F{v^3}{A^{ - 2}}\)
\(F{v^2}{A^{ - 1}}\)
\({F^2}{v^2}{A^{ - 1}}\)
Question:The dimensions of permittivity \({\varepsilon _0}\) are
\({A^2}{T^2}{M^{ - 1}}{L^{ - 3}}\)
\({A^2}{T^4}{M^{ - 1}}{L^{ - 3}}\)
\({A^{ - 2}}{T^{ - 4}}M{L^3}\)
\({A^2}{T^{ - 4}}{M^{ - 1}}{L^{ - 3}}\)
Question:Dimensions of the following three quantities are the same
Work, energy, force
Velocity, momentum, impulse
Potential energy, kinetic energy, momentum
Pressure, stress, coefficient of elasticity
Question:If the speed of light \(\), acceleration due to gravity \((g)\) and pressure \((p)\) are taken as the fundamental quantities, then the dimension of gravitational constant is
\({c^2}{g^0}{p^{ - 2}}\)
\({c^0}{g^2}{p^{ - 1}}\)
\(c{g^3}{p^{ - 2}}\)
\({c^{ - 1}}{g^0}{p^{ - 1}}\)
Question:If the time period \((T)\) of vibration of a liquid drop depends on surface tension \((S)\), radius \((r)\) of the drop and density \((\rho )\) of the liquid, then the expression of \(T\) is
\(T = k\sqrt {\rho {r^3}/S} \)
\(T = k\sqrt {{\rho ^{1/2}}{r^3}/S} \)
\(T = k\sqrt {\rho {r^3}/{S^{1/2}}} \)
None of these
Question:\(M{L^3}{T^{ - 1}}{Q^{ - 2}}\) is dimension of
Resistivity
Conductivity
Resistance
Question:If the velocity of light \(\), gravitational constant \((G)\) and Planck's constant \((h)\) are chosen as fundamental units, then the dimensions of mass in new system is
\({c^{1/2}}{G^{1/2}}{h^{1/2}}\)
\({c^{1/2}}{G^{1/2}}{h^{ - 1/2}}\)
\({c^{1/2}}{G^{ - 1/2}}{h^{1/2}}\)
\({c^{ - 1/2}}{G^{1/2}}{h^{1/2}}\)
Question:Dimensions of charge are
\({M^0}{L^0}{T^{ - 1}}{A^{ - 1}}\)
\(MLT{A^{ - 1}}\)
\({T^{ - 1}}A\)
\(TA\)
Question:According to Newton, the viscous force acting between liquid layers of area A and velocity gradient \(\Delta v/\Delta z\) is given by \(F = - \eta A\frac{{\Delta v}}{{\Delta z}}\) where \(\eta \) is constant called coefficient of viscosity. The dimension of \(\eta \) are
\([M{L^2}{T^{ - 2}}]\)
\([M{L^{ - 1}}{T^{ - 1}}]\)
\([M{L^{ - 2}}{T^{ - 2}}]\)
\([{M^0}{L^0}{T^0}]\)
Question:The dimensions of electric potential are
\([M{L^2}{T^{ - 2}}{Q^{ - 1}}]\)
\([ML{T^{ - 2}}{Q^{ - 1}}]\)
\([M{L^2}{T^{ - 1}}Q]\)
\([M{L^2}{T^{ - 2}}Q]\)
Question:Dimensions of potential energy are
\(M{L^{ - 1}}{T^{ - 1}}\)
Question:The dimension of \(\frac{R}{L}\) are
\({T^2}\)
\(T\)
\({T^{ - 1}}\)
\({T^{ - 2}}\)
Question:The period of oscillation of a simple pendulum is given by \(T = 2\pi \sqrt {\frac{l}{g}} \)where l is about 100 cm and is known to have 1mm accuracy. The period is about 2s. The time of 100 oscillations is measured by a stop watch of least count 0.1 s. The percentage error in g is
0.10%
1%
0.20%
0.80%
Question:The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed
11%
8%
5%
Question:The random error in the arithmetic mean of 100 observations is x; then random error in the arithmetic mean of 400 observations would be
4x
\(\frac{1}{4}x\)
2x
\(\frac{1}{2}x\)
Question:The resistance R =\(\frac{V}{i}\) where V= 100 \( \pm \)5 volts and i = 10 \( \pm \)0.2 amperes. What is the total error in R
7%
5.20%
\(\frac{5}{2}\)%
Question:The period of oscillation of a simple pendulum in the experiment is recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s and 2.80 s respectively. The average absolute error is
0.1 s
0.11 s
0.01 s
1.0 s
Question:The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its diameter is measured with vernier calipers having least count 0.01 cm. Given that length is 5.0 cm. and radius is 2.0 cm. The percentage error in the calculated value of the volume will be
2%
3%
4%