A. 1 + et
B. 1 – et
C. 1 + e-t
D. 1 – e-t
Related Mcqs:
- The Laplace transform of exp(at), where a > 0, is defined only for the Laplace parameter, s > a since______________?
A. The function is exponential
B. The Laplace transform of integral of exp(at) has finite values only for s > a
C. The Laplace transform integral of exp(at) has initial values only for s > a
D. The function exp(at) is piece-wise continuous only for s > a - For an input forcing function, X(t) = 2t2, the Laplace transform of this function is________________?
A. 2/s2
B. 4/s2
C. 2/s3
D. 4/s3 - For the time domain function f(t) = t, the Laplace transform of ∫0 t f(t) dt is given by___________________?
A. 1/2 S3
B. 2/S3
C. 1/S3
D. 2/S2 - What is the Laplace transform of impulse input having magnitude „X‟ ?
A. X
B. X2
C. 1/X
D. 1 - What is the Laplace transform of sin t ?
A. 1/(s2 + 1)
B. s/(1 + s2)
C. 1/(s2 – 1)
D. s/(s2 – 1) - The experimental response of the controlled variable y(t) for a step change of magnitude ‘P’ in the manipulated variable x(t) is shown below: The appropriate transfer function of the process is_________________?
A. (Q/P) e-(Q/R)S/(TdS + 1)
B. (Q/R) e-TdS/(Q/P) (S + 1)
C. (Q/P) e-TdS/(Q/R) (S + 1)
D. (Q/R) e-(P/Q)S/(TdS + 1) - In a closed loop system, the process to be controlled is an integrating process with transfer function 1/2s. The controller proposed to be used in an integral controller with transfer function 1/T1s. When a step change in set point is applied to such a closed loop system, the controlled variable will exhibit__________________?
A. Overdamped response
B. Underdamped response
C. Undamped response
D. Unstable response - A magnetic flowmeter is_________________?
A. Based on the principle of Faraday’s law
B. Capable of measuring the flow rate of slurries and electrolytes
C. Based on the linear relationship between the fluid flow rate and the induced voltage
D. All A., B. and C. - If response of a control system is to be free of offset and oscillation, the most suitable controller is_________________?
A. Proportional controller
B. Proportional-derivative (PD) controller
C. Proportional-integral (PI) controller
D. Proportional integral-derivative (PID) controller - According to Bode stability criterion, a system is unstable, if the open loop frequency response exhibits an amplitude ratio exceeding unity at frequency for which phase lag is_________________?
A. 0°
B. 45°
C. 90°
D. 180°
