# Units and Measurement Test 4

Total Questions:50 Total Time: 60 Min

Remaining:

## Questions 1 of 50

Question:SI unit of pressure is

Pascal

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

$$cm\,$$ of $$Hg$$

Atmosphere

## Questions 2 of 50

Question:The unit of angular acceleration in the SI system is

$$N\,k{g^{ - 1}}$$

$$m\,{s^{ - 2}}$$

$$rad\,{s^{ - 2}}$$

$$m\,k{g^{ - 1}}K$$

## Questions 3 of 50

Question:The unit of Stefan's constant $$\sigma$$ is

$$W\,{m^{ - 2}}\,{K^{ - 1}}$$

$$W\,{m^2}\,{K^{ - 4}}$$

$$W\,{m^{ - 2}}\,{K^{ - 4}}$$

$$W\,{m^{ - 2}}\,{K^4}$$

## Questions 4 of 50

Question:The unit for nuclear dose given to a patient is

Fermi

Rutherford

Curie

Roentgen

## Questions 5 of 50

Question:Volt/metre is the unit of

Potential

Work

Force

Electric intensity

## Questions 6 of 50

Question:$$Newton/metr{e^{\rm{2}}}$$ is the unit of

Energy

Momentum

Force

Pressure

## Questions 7 of 50

Question:Tesla is a unit for measuring

Magnetic moment

Magnetic induction

Magnetic pole intensity

Magnetic pole strength

## Questions 8 of 50

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

## Questions 9 of 50

Question:Oersted is a unit of

Dip

Magnetic intensity

Magnetic moment

Pole strength

## Questions 10 of 50

Question:Curie is a unit of

Energy of g-rays

Half life

Intensity of g-rays

## Questions 11 of 50

Question:Hertz is the unit for

Frequency

Force

Electric charge

Magnetic flux

## Questions 12 of 50

Question:One pico Farad is equal to

$${10^{ - 24}}F$$

$${10^{ - 18}}F$$

$${10^{ - 12}}F$$

$${10^{ - 6}}F$$

## Questions 13 of 50

Question:The equation $$\left( {P + \frac{a}{{{v^2}}}} \right)$$ $$(v - b)$$ constant. The units of $$a$$ are

$$Dyne \times c{m^5}$$

$$Dyne \times c{m^4}$$

$$Dyne/c{m^3}$$

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

## Questions 14 of 50

Question:Which of the following quantity is expressed as force per unit area

Work

Pressure

Volume

Area

## Questions 15 of 50

Question:Unit of impulse is

Newton

$$kg - m$$

$$kg - m/s$$

Joule

## Questions 16 of 50

Question:Length cannot be measured by

Fermi

Debye

Micron

Light year

## Questions 17 of 50

Question:The value of Planck's constant is

$$6.63 \times {10^{ - 34}}J{\rm{ - }}\sec$$

$$6.63 \times {10^{34}}J/\sec$$

$$6.63 \times {10^{ - 34}}kg{\rm{ - }}{m^2}$$

$$6.63 \times {10^{34}}kg/\sec$$

## Questions 18 of 50

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

$$n \propto {u^2}$$

$$n \propto u$$

$$n \propto \sqrt u$$

$$n \propto \frac{1}{u}$$

## Questions 19 of 50

Question:Which of the following pairs is wrong

Pressure-Baromter

Relative density-Pyrometer

Temperature-Thermometer

Earthquake-Seismograph

## Questions 20 of 50

Question:Select the pair whose dimensions are same

Pressure and stress

Stress and strain

Pressure and force

Power and force

## Questions 21 of 50

Question:Dimensional formula $$M{L^{ - 1}}{T^{ - 2}}$$ does not represent the physical quantity

Young's modulus of elasticity

Stress

Strain

Pressure

## Questions 22 of 50

Question:Dimensional formula for angular momentum is

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

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

$$ML{T^{ - 1}}$$

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

## Questions 23 of 50

Question:The dimensional formula for impulse is

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

$$ML{T^{ - 1}}$$

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

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

## Questions 24 of 50

Question:The dimensional formula for the modulus of rigidity is

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

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

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

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

## Questions 25 of 50

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

$${v^2}rg$$

$${v^2} \propto g\lambda \rho$$

$${v^2} \propto g\lambda$$

$${v^2} \propto {g^{ - 1}}{\lambda ^{ - 3}}$$

## Questions 26 of 50

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

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

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

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

## Questions 27 of 50

Question:The dimensions of resistivity in terms of $$M,\,L,\,T$$ and $$Q$$ where $$Q$$ stands for the dimensions of charge, is

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

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

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

$$ML{T^{ - 1}}{Q^{ - 1}}$$

## Questions 28 of 50

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

## Questions 29 of 50

Question:Dimensions of frequency are

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

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

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

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

## Questions 30 of 50

Question:The dimensions of pressure are

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

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

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

$$ML{T^2}$$

## Questions 31 of 50

Question:Dimensions of permeability are

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

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

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

$${A^{ - 1}}ML{T^2}$$

## Questions 32 of 50

Question:Dimensional formula of magnetic flux is

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

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

$${M^0}{L^{ - 2}}{T^{ - 2}}{A^{ - 3}}$$

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

## Questions 33 of 50

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

$$F{A^{ - 1}}v$$

$$F{v^3}{A^{ - 2}}$$

$$F{v^2}{A^{ - 1}}$$

$${F^2}{v^2}{A^{ - 1}}$$

## Questions 34 of 50

Question:The dimensions of permittivity $${\varepsilon _0}$$ are

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

$${A^2}{T^4}{M^{ - 1}}{L^{ - 3}}$$

$${A^{ - 2}}{T^{ - 4}}M{L^3}$$

$${A^2}{T^{ - 4}}{M^{ - 1}}{L^{ - 3}}$$

## Questions 35 of 50

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

## Questions 36 of 50

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

$${c^2}{g^0}{p^{ - 2}}$$

$${c^0}{g^2}{p^{ - 1}}$$

$$c{g^3}{p^{ - 2}}$$

$${c^{ - 1}}{g^0}{p^{ - 1}}$$

## Questions 37 of 50

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

## Questions 38 of 50

Question:$$M{L^3}{T^{ - 1}}{Q^{ - 2}}$$ is dimension of

Resistivity

Conductivity

Resistance

None of these

## Questions 39 of 50

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

$${c^{1/2}}{G^{1/2}}{h^{1/2}}$$

$${c^{1/2}}{G^{1/2}}{h^{ - 1/2}}$$

$${c^{1/2}}{G^{ - 1/2}}{h^{1/2}}$$

$${c^{ - 1/2}}{G^{1/2}}{h^{1/2}}$$

## Questions 40 of 50

Question:Dimensions of charge are

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

$$MLT{A^{ - 1}}$$

$${T^{ - 1}}A$$

$$TA$$

## Questions 41 of 50

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

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

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

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

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

## Questions 42 of 50

Question:The dimensions of electric potential are

$$[M{L^2}{T^{ - 2}}{Q^{ - 1}}]$$

$$[ML{T^{ - 2}}{Q^{ - 1}}]$$

$$[M{L^2}{T^{ - 1}}Q]$$

$$[M{L^2}{T^{ - 2}}Q]$$

## Questions 43 of 50

Question:Dimensions of potential energy are

$$ML{T^{ - 1}}$$

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

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

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

## Questions 44 of 50

Question:The dimension of $$\frac{R}{L}$$ are

$${T^2}$$

$$T$$

$${T^{ - 1}}$$

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

## Questions 45 of 50

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%

## Questions 46 of 50

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%

1%

## Questions 47 of 50

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

$$\frac{1}{2}x$$

## Questions 48 of 50

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

5%

7%

5.20%

$$\frac{5}{2}$$%

## Questions 49 of 50

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

## Questions 50 of 50

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