NTRCA college written syllabus

E:\NTRCA\Exam\17th Exam'20\Written\Syllabus\Written_College level_17th Exam-2020 (1-52 code) (Main).doc    15 
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  Exam Duration: Three Hours  
 
Instructions:  
Candidates will have to answer 10 questions prepared from 10 units each carrying 10 Marks. 
Each question will have 2 to 4 sub -items (e.g. a, b, c, d). The distribution of marks for each 
question can be 2+3+5, 2+4+4, 2+2+6, 2+2+3+3, 1+2+3+4, 3+3+4, 4+6 or 5+5 . 
Questions will be prepared following Bloom’s taxonomy of cognitive learning.  A minimum of 
20% marks should be allotted to higher order questions which require analyzing, evaluating, 
complex problem solving or creating/synthesizing. There will be alternatives for three (3) 
questions; an alternative question must be prepared from the same unit with same structure 
covering same sub-domain and mark distribution.   
 
Assessment Targets 
The candidates will be 
able to … 
                           Contents Marks 
 state and  explain 
concept and t erms 
regarding vector, 
motion, work and 
energy. 
 
 relate the concept with 
the real -life 
phenomenon regarding 
vector, motion,  work 
and energy. 
 
 formulate 
mathematical 
expression related to 
the context of vector, 
motion, work and 
energy. 
 
 demonstrate the 
problem-solving 
ability in relation to 
vector, motion,  work 
and energy. 
 
Unit: One 
 
Vector Analysis:  Concept and Applications of 
Vectors and scalars; Dot and Cross product, Vector 
Differentiation, Gradient, Divergence, Curl and 
Vector Integration. 
 
Laws of Motion: Projectile Motion, Newton's laws of 
motion and their application, Frictional forces, 
Impulse and Momentum, Conservation of liner 
momentum, Elastic and Inelastic collisions. 
          
Work and Energy: Work and Kinetic Energy, 
Conservative and Non conse rvative Forces, Work 
done by Gravitational force & Spring force, Work and 
potential energy, Gravitational potential energy, 
Work-energy theorem, Conservation of energy. 
 
Rotational Motion:  Rotational Variables, Torque, 
Moment of inertia and its calculation , Kinetic energy 
of rotation, Angular Momentum and its conservation, 
Radius of gyration. 
 
 
10 
 
 state and explain 
concept and terms 
regarding gravitation 
and properties of 
matter. 
 
Unit: Two 
 
Gravitation: Newton’s law of Gra vitation; 
Gravitation near earth surface; Gravitation inside 
earth; Effect of spherical distribution of mass, Planets 
and satellites: Kepler’s laws, Orbits and Energy. 
 
 
 
10