GATE PI 2012 | Transform Theory Question 1 | Engineering Mathematics

GATE PI 2012

MCQ (Single Correct Answer)

-0.3

The inverse Laplace transform of the function $$F\left( s \right) = {1 \over {s\left( {s + 1} \right)}}$$ is given by

$$f\left( t \right) = \sin \,t$$

$$f\left( t \right) = {e^{ - t}}\sin \,t$$

$$f\left( t \right) = {e^{ - t}}$$

$$f\left( t \right) = 1 - {e^{ - t}}$$

GATE PI 2008

MCQ (Single Correct Answer)

-0.3

Laplace transform of $$8$$ $${t^3}$$ is

$${8 \over {{s^4}}}$$

$${{16} \over {{s^4}}}$$

$${{24} \over {{s^4}}}$$

$${{48} \over {{s^4}}}$$

GATE PI 2008

MCQ (Single Correct Answer)

-0.3

Laplace transform of $$sin$$ $$ht$$ is

$${1 \over {{s^2} - 1}}$$

$${1 \over {1 - {s^2}}}$$

$${s \over {{s^2} - 1}}$$

$${s \over {1 - {s^2}}}$$

GATE PI Subjects

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Strength of Materials

Pure Bending Shear Force and Bending Moment Complex Stresses Simple Stress and Strain Deflection of Beams Thin Cylinders

Theory of Machines

Analysis of Plane Mechanisms Flywheel

Engineering Mathematics

Probability and Statistics Complex Variable Vector Calculus Numerical Methods Linear Algebra Calculus Differential Equations Transform Theory

Machine Design

Design For Static Loading Design of Spur Gears

Fluid Mechanics

Fluid Kinematics Fluid Statics Laminar Flow Fluid Dynamics Turbulent Flow

Heat Transfer

Fin Design and Transient Heat Conduction Radiation Conduction Heat Exchangers

Thermodynamics

Entropy and Irreversibility

Casting

Casting Process

Joining of Materials

Welding

Metal Forming

Metal Forming Process Sheet Metal Forming Processes

Machine Tools and Machining

Metal Cutting Advance Machine Tools Machining

Metrology

Metrology and Inspection

Industrial Engineering

Inventory Control Line Balancing Queuing Forecasting Pert and Cpm