GATE ME 1996 | Vector Calculus Question 21 | Engineering Mathematics

GATE ME 1996

MCQ (Single Correct Answer)

-0.3

The expression curl $$\left( {grad\,f} \right)$$ where $$f$$ is a scalar function is

Equal to $${\nabla ^2}f$$

Equal to $$div\left( {grad\,f} \right)$$

A scalar of zero magnitude

A vector of zero magnitude

GATE ME 1995

MCQ (Single Correct Answer)

-0.3

If $$\overrightarrow V $$ is a differentiable vector function and $$f$$ is sufficienty differentiable scalar function then curl $$\left( {f\overrightarrow V } \right) = $$ _______.

$$\left( {grad\,f} \right) \times \overrightarrow V + \left( {f\,curl\,\overrightarrow V } \right)$$

$$\overrightarrow O $$

$${f\,curl\,\overrightarrow V }$$

$$\left( {grad\,f} \right) \times \overrightarrow V $$

GATE ME Subjects

Engineering Mechanics

Engineering Mechanics Static and Dynamics

Machine Design

Bolted Riveted and Welded Joints Design For Static Loading Design of Brakes and Clutches Design of Spur Gears Design of Bearings Fatigue Strength

Strength of Materials

Springs Pure Bending Stresses In Beams Simple Stress and Strain Complex Stresses Moment of Inertia Deflection of Beams Shear Force and Bending Moment Torsion Thin Cylinders Columns and Struts Strain Energy Method

Heat Transfer

Conduction Fin Design and Transient Heat Conduction Convection Radiation Heat Exchangers

Production Engineering

Sheet Metal Forming Processes Metal Cutting Welding Process Metal Forming Casting Advance Machine Tools Machining Metrology and Inspection

Industrial Engineering

Queuing Production Planning and Control Line Balancing Forecasting Pert and Cpm Inventory Control Transportation Scheduling Linear Programming Assignment

Turbo Machinery

Theory of Machines

Analysis of Plane Mechanisms Gears and Gear Trains Vibrations Flywheel

Engineering Mathematics

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

Fluid Mechanics

Fluid Properties Boundary Layer Turbulent Flow Fluid Dynamics Laminar Flow Fluid Kinematics Fluid Statics

Thermodynamics

Calculation of Work and Heat Entropy and Irreversibility Properties of Pure Substances Basic Concepts and Zeroth Law First Law of Thermodynamics Rankine Cycle Availability Second Law of Thermodynamics

General Aptitude

Verbal Ability Numerical Ability