This Portion of Electrical andElectronic Measurements and Measuring instruments contains Dynamic Characteristics of Instruments and Measurement System MCQs (Multiple Choice Questions and Answers) / Objective Type Questions and Answers.

**This Section covers below lists of topics.**

- Dynamic analysis of measurement systems
- Mathematical model of measurement system
- Linear and Non-linear Systems
- Electric Networks
- Mechanical Systems
- Thermal Systems
- Liquid level Systems
- Sinusoidal transfer Function
- Time Domain Response
- Frequency Domain Analysis

#### 1. A Quantity whose magnitude has a definite repeating time cycle is called a :

- Transient
- Steady state periodic
- Steady state aperiodic
- Transient state periodic.

B. Steady state periodic

#### 2. Dynamic response consists of:

- Two parts, one steady state and the other transient state response
- Only transient state response
- Only steady state response
- Steady state and transient frequency response.

A. Two parts, one steady state and the other transient state response

#### 3. The following are the desirable dynamic characteristics of a measurement system:

- Fast response, fidelity, measuring lag and dynamic error.
- Fast response and measuring lag
- Fidelity and measuring lag
- Fast response and fidelity.

D. Fast response and fidelity.

#### 4. The output of the system is given by the following equation:
*y= ax + b*
Where *x* is the input and *a* and *b* are constants.
The system exhibits:

- Linear behavior
- Non-linear behavior as it does not satisfy the property of superposition
- None-linear behavior as it does not satisfy the property of homogeneity
- Non-linear behavior because it does not satisfy property of both superposition and homogeneity.

C. None-linear behavior as it does not satisfy the property of homogeneity

#### 5. The dynamic response of a system is given by the following differential equation :d^{3}
a_{3} ((d^3 c(t))/(dt^3 )) + a_{2} ((d^2 c(t))/(dt^2 ))+ a_{1} (dc(t)/dt) + a_{0}c(t)
= b_{2} ((d^2 r(t))/(dt^2 ))+ b_{1} (dr(t)/dt) + b_{0}r(t)
Where c(t) and r(t) are respectively the output and input and a_{3,} a_{2,} a_{1,} a_{0,} b_{2,} b_{1,} b_{0 }are constants. It is a :

- Non-linear system
- Linear system
- Linear time variant system
- Linear time invariant system.

D. Linear time invariant system.

#### 6. In a force current analogy stiffness constant *K* is analogous to :

- Inductance
- Reciprocal of inductance
- Capacitance
- Reciprocal of capacitance.

C. Capacitance

#### 7. In a force-voltage analogy viscous friction constant *B* is analogous to :

- Resistance
- Reciprocal of resistance
- Inductance
- Capacitance

A. Resistance

#### 8. In thermal system if M is mass liquid stored, Q is the liquid inflow rate and s is the specific heat, the thermal resistance is given by:

- Ms
- Qs
- 1/Ms
- 1/Qs

D. 1/Qs

#### 9. In Liquid level systems, the units of capacitance of a tank are :

*m*^{2}- m
^{3} - m
^{2}/s - m
^{-2}s

A.

*m*^{2}#### 10. The transfer function of a system is defined as :

- Ratio of laplace transform of input to laplace transform of output with initial conditions not equal to zero
- Ratio of laplace transform of output to laplace transform of input with initial conditions not equal to zero
- Ratio of laplace transform of input to laplace transform of output with all initial conditions equal to zero
- Ratio of laplace transform of output to laplace transform of input with all initial conditions not equal to zero

D. Ratio of laplace transform of output to laplace transform of input with all initial conditions not equal to zero

#### 11. A first order system is subjected to a step input. its time constant can be defined as :

- Time for the output to rise to 63.2% of its final steady value in the case of rising output.
- Time for the output to drop to 36.8% of its initial value in the case of a decaying output.
- Time for the output to rise( in case of rising output) reach its final steady value if the initial rate of change of output is maintained
- All of the above.

D. All of the above.

#### 12. A first order system has a time constant of 20 s. it is subjected to step input. The setting time of the output is assumed to be the time it reaches 95% of the final steady value.The setting time of the system is :

- 100 s
- 60 s
- 20 s
- Infinity.

B. 60 s

#### 13. An RC series circuit has a resistance of 2 MΩ and a capacitance of 1µF. it is subjected to step input of 10 V. The dynamic error ( refers to voltage across capacitor) at time *t = 4 s *of application of input is :

- 1.35 V
- 0.5 V
- 3.68 V
- 0 V.

A. 1.35 V

#### 14. The volume of bulb of a liquid filled thermometer is 1000mm^{3} . Its time constant is 300 s. it is desired to reduce time constant to 100 s. what is the new volume of bulb, of all other conditions remain the same except the dimension of the bulb :

- 3 mm
^{3} - 37 mm
^{3} - 10 mm
^{3} - 577 mm
^{3}

B. 37 mm

^{3}#### 15. The volume of bulb of a liquid filled thermometer is 1000mm^{3} . Its time constant and sensitivity are respectively 300 s and 3.6 mm/°C. if the volume of the bulb is reduced to 500 mm^{3}, the sensitivity becomes :

- 7.2 mm/°C
- 10.8 mm/°C
- 1.8 mm/°C
- 1.2 mm/°C if other conditions remain same.

C. 1.8 mm/°C

#### 16. A balloon is fitted with a first order temperature measuring device with time constant of 20 s. it is also fitted with zero order instruments for altitude measurements. It radios back to earth both temperature and altitude signals. The decrease in temperature is 0.02 x°C where x is the altitude in meter. The balloon travels vertically at a speed of 5 m/s. The balloon radios back altitude signal as 3000m. The decrease in temperature radios back to earth is :

- 60°C
- 58°C
- 62°C
- None of the above.

B. 58°C

#### 17. A 2 gm mass is suspended from a single spring. The deflection caused is 5 mm. The natural frequency of the system is :

- 7 Hz
- 22 Hz
- 2.2 Hz
- None of the above.

A. 7 Hz

#### 18. In a second order system, the damping factor is 0.65 and the natural frequency is 4 Hz. If the stiffness of spring is halved, the new value of damping factor and natural frequency are:

- 0.92, 2.83 Hz
- 0.46, 5.66 Hz
- 0.92, 5.66 Hz
- 0.46, 2.83 Hz

A. 0.92, 2.83 Hz

#### 19. In a second order system, the steady state error is 0.02. if both viscous friction constant and spring constant are doubled, the steady error will be :

- 0.01
- 0.04
- 0.0025
- 0.02.

D. 0.02.

#### 20. In second order system, the frequency of damped oscillations is 18 rad/s. The value of damping factor is 0.866. The natural frequency of oscillations is :

- 15.6 rad/s
- 19.3 rad/s
- 36 rad/s
- 9 rad/s

C. 36 rad/s

#### 21. In a second order system, the peak overshoot is 100%. The value of damping factor is :

- 1
- 0.707
- 0
- 0.5.

C. 0

#### 22. For a second order system, the settling time for ±2% band is _____________
Where ξ = damping factor and ω_{η} = natural frequency : rad/s.

- 3/(ξω
_{η}) - 5/(ξω
_{0}) - 2ξω
_{η} - 4/(ξω
_{η})

D. 4/(ξω

_{η})#### 23. In a second order damped system, the value of peak overshoot in per unit terms is :

- M
_{p}= exp(πξ/√(1-ξ^{2})) - M
_{p}= - exp(πξ/√(1-ξ^{2})) - M
_{p}= exp(-πξ/√(1-ξ^{2})) - M
_{p}= (πξ/√(1-ξ^{2})

C. M

_{p}= exp(-πξ/√(1-ξ^{2}))#### 24. A first order thermometer has a time constant of 50 s. it is subjected to a sinusoidal input cycling at 0.002 Hz. The time lag of instrument is :

- 50 s
- 44.6 s
- 500 s
- 0.01 s.

B. 44.6 s

#### 25. In order that first order instrument should indicate an output which is within ±10% of the true value of the output when suspended to a sinusoidal input the product 𝛚Ϯ, where 𝛚 = angular frequency of input and Ϯ time constant of instrument should be :

- Less than 0.5
- Greater than 0.5
- Less than 10
- Greater than 10.

A. Less than 0.5

#### 26. A second order system when subjected to a unit step input has a peak overshoot of 10%. The same system when subjected to a sinusoidal input of unit amplitude will have a resonant peak of nearly :

- 103%
- 110%
- 190%
- None of the above.

A. 103%

#### 27. A second order underdamped system has a damping factor of 0.8. it is subjected to a sinusoidal input of unit amplitude.it has resonant peak of :

- 108%
- 92%
- 20%
- It has no resonant peak.

D. It has no resonant peak.

#### 28. Bandwidth, a frequency domain concept, is indicative of

- rise time in time domain
- settling time in time domain
- steady state error in the domain
- all the above.

B. settling time in time domain

#### 29. An undamped second order instrument has a natural frequency of 500 Hz.it is subjected to a sinusoidal input of unit amplitude at 500 Hz. The amplitude of output is :

- Unity
- 0.5
- 2.0
- Infinity

D. Infinity

#### 30. The transfer function of a system is :G(s) = (100e^{(-st)})/(s(s+10)) The system

- Is a linear system
- Is s non linear system
- Has a transportation lag
- None of the above.

C. Has a transportation lag