JEE Main Physics Mechanics Part Test - Mock Test 1

=� Test Information

• Test Type: Part-Syllabus Mock Test
• Subject: Physics (Mechanics Only)
• Total Questions: 25 Questions
• Total Marks: 100 Marks
• Duration: 60 Minutes
• Syllabus: Class 11 Physics Mechanics Chapters
• Difficulty Level: JEE Main Pattern

Syllabus Covered

 Kinematics (Motion in Straight Line & Plane)  Laws of Motion  Work, Energy & Power  Rotational Motion  Gravitation  Mechanical Properties of Solids & Fluids

=� Test Instructions

Marking Scheme

• Correct Answer: +4 Marks
• Wrong Answer: -1 Mark
• Unattempted: 0 Mark

Question Pattern

• Section A: 20 MCQs (Single Correct)
• Section B: 5 Numerical Questions (No Negative Marking)

Test Guidelines

1. Read each question carefully before attempting
2. Manage your time effectively (approximately 2.4 minutes per question)
3. Attempt easy questions first
4. No negative marking for numerical questions
5. Use rough sheets for calculations

<� Section A: Multiple Choice Questions (20 � 4 = 80 Marks)

Questions 1-20

Question 1

A particle moves along a straight line such that its position x varies with time t as x = 3t� - 2t + 5. The acceleration of the particle is:

(A) 6 m/s� (B) 3 m/s� (C) 12 m/s� (D) Constant but not equal to any of the above

Question 2

A ball is thrown vertically upward with velocity 20 m/s. The maximum height reached by the ball is: (Take g = 10 m/s�)

(A) 20 m (B) 40 m (C) 10 m (D) 5 m

Question 3

A force of 10 N acts on a body of mass 2 kg for 3 seconds. The change in momentum of the body is:

(A) 10 kg�m/s (B) 30 kg�m/s (C) 60 kg�m/s (D) 15 kg�m/s

Question 4

The work done by a force F = 2i + 3j - 4k in moving a particle from position r� = i + 2j + 3k to r� = 3i + 4j + 5k is:

(A) 4 J (B) 6 J (C) 8 J (D) 10 J

Question 5

A disc of radius R and mass M is rotating with angular velocity � about its axis. Its angular momentum is:

(A) M�R� (B) �M�R� (C) �M�R� (D) 2M�R�

Question 6

The escape velocity from the surface of Earth is approximately:

(A) 5 km/s (B) 8 km/s (C) 11 km/s (D) 15 km/s

Question 7

A steel wire of length 2 m and cross-sectional area 1 mm� is stretched by a force of 100 N. Young’s modulus of steel is 2 � 10�� N/m�. The elongation of the wire is:

(A) 0.1 mm (B) 0.01 mm (C) 1 mm (D) 0.001 mm

Question 8

A block of mass 5 kg is placed on a rough horizontal surface with coefficient of friction 0.2. A horizontal force of 15 N is applied on the block. The frictional force acting on the block is:

(A) 10 N (B) 15 N (C) 9.8 N (D) 0 N

Question 9

A particle moves in a circle of radius 5 m with constant speed 10 m/s. The centripetal acceleration is:

(A) 5 m/s� (B) 10 m/s� (C) 20 m/s� (D) 25 m/s�

Question 10

The kinetic energy of a particle moving with velocity v is E. If the velocity is doubled, the kinetic energy becomes:

(A) E (B) 2E (C) 4E (D) 8E

Question 11

A uniform rod of length L and mass M is rotating about one end with angular velocity �. Its moment of inertia about the axis of rotation is:

(A) ML�/3 (B) ML�/12 (C) ML�/2 (D) 2ML�/3

Question 12

A stone is thrown horizontally from the top of a building 20 m high with velocity 10 m/s. The time taken to reach the ground is: (Take g = 10 m/s�)

(A) 1 s (B) 2 s (C) 3 s (D) 4 s

Question 13

The work done in slowly lifting a body of mass m through height h against gravity is:

(A) mgh (B) 2mgh (C) mgh/2 (D) 4mgh

Question 14

A car moving with velocity 20 m/s stops after applying brakes. If the total mass of the car is 1000 kg and the retarding force is 4000 N, the distance traveled before stopping is:

(A) 25 m (B) 50 m (C) 75 m (D) 100 m

Question 15

The orbital velocity of a satellite at height h above Earth’s surface is:

(A) (GM/R) (B) (GM/(R+h)) (C) (GMh/R�) (D) (2GM/R)

Question 16

A bullet of mass 20 g moving with velocity 100 m/s penetrates a wooden block and comes to rest in 0.1 s. The average retarding force is:

(A) 20 N (B) 200 N (C) 2000 N (D) 20000 N

Question 17

The pressure at a depth h in a liquid of density � is:

(A) �gh (B) P� + �gh (C) P� - �gh (D) �g/h

Question 18

A particle moves in the xy-plane with velocity v = 2i + 3j m/s. If a force F = 4i - 2j N acts on it, the instantaneous power is:

(A) 2 W (B) 4 W (C) 6 W (D) 8 W

Question 19

A uniform solid sphere of mass M and radius R has moment of inertia about its diameter:

(A) MR� (B) 2MR�/5 (C) MR�/2 (D) 7MR�/5

Question 20

The value of acceleration due to gravity at height h above Earth’s surface is:

(A) g(R/(R+h))� (B) g(R+h)/R (C) gR/(R+h) (D) g(R/(R+h))

=" Section B: Numerical Questions (5 � 4 = 20 Marks)

Questions 21-25 (No Negative Marking)

Question 21

A particle moves along x-axis with acceleration a = 2t m/s�, where t is in seconds. If it starts from rest at t = 0, find its velocity at t = 3 s.

Question 22

A force of 50 N is applied to a block of mass 10 kg placed on a rough horizontal surface. If the coefficient of kinetic friction is 0.3, find the acceleration of the block. (Take g = 10 m/s�)

Question 23

A disc of radius 0.5 m and mass 2 kg is rotating about its axis with angular velocity 10 rad/s. Find its rotational kinetic energy.

Question 24

A satellite is orbiting Earth at height 400 km above surface. If Earth’s radius is 6400 km and g = 9.8 m/s� at surface, find the orbital velocity of the satellite.

Question 25

A spring of force constant 1000 N/m is compressed by 10 cm. Find the maximum height a 2 kg block can reach when placed on the compressed spring and released vertically.

=� Detailed Performance Analysis

Section-wise Analysis

• Mechanics Fundamentals: Questions 1-5, 11-13
• Rotational Motion: Questions 5, 11, 23
• Gravitation: Questions 6, 15, 20, 24
• Properties of Matter: Questions 7, 17
• Friction and Forces: Questions 3, 8, 22
• Work and Energy: Questions 4, 10, 13, 18, 25
• Circular Motion: Questions 9, 19
• Projectile Motion: Questions 2, 12

Difficulty Distribution

• Easy: Questions 2, 6, 10, 13, 17, 20
• Medium: Questions 1, 3, 4, 5, 7, 8, 9, 11, 12, 14, 16, 18, 19, 21, 22, 23
• Hard: Questions 15, 24, 25

Expected Time Distribution

• Easy Questions: 1-2 minutes each
• Medium Questions: 2-3 minutes each
• Hard Questions: 3-4 minutes each

<� Answer Key and Solutions

Section A Answers

1. (A) 6 m/s�
2. (A) 20 m
3. (B) 30 kg�m/s
4. (B) 6 J
5. (B) �M�R�
6. (C) 11 km/s
7. (D) 0.001 mm
8. (A) 10 N
9. (C) 20 m/s�
10. (C) 4E
11. (A) ML�/3
12. (B) 2 s
13. (A) mgh
14. (B) 50 m
15. (B) (GM/(R+h))
16. (A) 20 N
17. (B) P� + �gh
18. (A) 2 W
19. (B) 2MR�/5
20. (A) g(R/(R+h))�

Section B Answers

21. 9 m/s
22. 2 m/s�
23. 25 J
24. 7.67 km/s
25. 2.5 m

=� Performance Metrics

Score Interpretation

• Excellent: 85-100 marks (Top 5%)
• Good: 70-84 marks (Top 15%)
• Average: 50-69 marks (Average Performance)
• Needs Improvement: Below 50 marks

Topic-wise Strength Analysis

Fill in your performance by topic:

Time Management Analysis

• Target Time: 60 minutes
• Optimal Distribution:
  • Physics: 20 minutes
  • Chemistry: 20 minutes
  • Mathematics: 20 minutes
• Your Time: _________ minutes

=� Improvement Strategies

If Score < 50

1. Focus on Fundamentals: Revise basic concepts
2. Practice More Problems: Start with easy questions
3. Time Management: Learn to identify and attempt easy questions first
4. Concept Clarity: Use NCERT and concept videos

If Score 50-70

1. Accuracy Improvement: Reduce negative marking
2. Speed Practice: Work on time-bound problem solving
3. Weak Area Focus: Identify and improve specific topics
4. Advanced Problems: Practice medium-difficulty questions

If Score 70-85

1. Hard Problems: Focus on difficult questions
2. Shortcut Techniques: Learn problem-solving shortcuts
3. Mock Test Practice: Take more comprehensive tests
4. Error Analysis: Learn from mistakes

If Score > 85

1. Advanced Topics: Cover JEE Advanced level problems
2. Speed Optimization: Reduce solving time further
3. Accuracy Maintenance: Focus on consistency
4. Competitive Practice: Attempt national-level mock tests

=� Recommended Study Resources

For Concept Clarity

• NCERT Physics Class 11
• Video Lectures
• Concept Maps

For Practice

• Previous Year Questions
• Additional Problems
• Online Test Series

For Improvement

• Doubt Clearing Sessions
• Performance Analysis Tools
• Study Planner

<� Next Steps

1. Analyze Your Performance: Identify strong and weak areas
2. Create Study Plan: Focus on improvement areas
3. Regular Practice: Take weekly mock tests
4. Track Progress: Monitor improvement over time
5. Seek Help: Join doubt-clearing sessions when needed

Remember: This is just one part-test. Complete coverage of all topics is essential for JEE Main success!

Success Tip: Consistent practice and regular analysis are key to improvement in competitive exams.

For complete JEE Main preparation, explore our Full Syllabus Mock Tests and Subject-wise Tests.