📚 IIT–JEE Physics Complete Learning Hub

---

🔹 Core Physics Libraries

• 🔁 Simple Harmonic Motion (SHM) – Complete Library (IIT–JEE Advanced)
• 🌊 Mechanical Waves – JEE Advanced Objective Library
• 🧠 IIT–JEE Physics Complete Master Library

---

🔹 Central Learning Platforms

• 🌐 Shaktimatha Learning Resource Hub
• 💬 Join Our WhatsApp Physics Learning Channel

---

📌 Structured • Exam-Oriented • IIT–JEE Advanced Focused Learning

Objective Type Questions – SHM (Page 9)

Focus: PYQ Pattern • Tricky Logic • Examiner Traps

Level: Very Tough (JEE Advanced)

                                    

---

Instructions:
Each question has one correct answer. Avoid assumptions. Think in phase, symmetry, and energy.

Q81.
A particle performs SHM. At which position is the product of velocity and acceleration maximum?

Answer: x = A/√2
Logic: v·a = ω³x√(A² − x²)

Q82.
The ratio of maximum kinetic energy to maximum potential energy in SHM is:

Answer: 1
Concept: Total energy is constant

Q83.
A particle in SHM crosses the mean position with speed v₁ and crosses x = A/2 with speed v₂. Find v₁/v₂.

Answer: 2/√3

Q84.
In SHM, potential energy becomes equal to kinetic energy at:

Answer: x = A/√2

Q85.
Time taken by SHM particle to move from x = 0 to x = A/2 is:

Answer: T/12
Method: Use phase angle sinθ = x/A

Q86.
Which graph represents SHM correctly?
(A) a vs x straight line through origin
(B) v vs x straight line
(C) x vs t straight line
(D) a vs t straight line

Correct Answer: A

Q87.
If displacement is doubled, kinetic energy becomes:

Answer: Cannot be determined (depends on initial position)
Trap: KE depends on remaining amplitude

Q88.
Which quantity changes sign at mean position?
(A) Velocity
(B) Acceleration
(C) Displacement
(D) Energy

Correct Answer: C

Q89.
The phase difference between velocity and acceleration in SHM is:

Answer: π/2

Q90.
A particle performs SHM. If time period is T, then time taken to go from +A to −A is:

Answer: T/2

---

Examiner Reminder:
• Energy questions → think symmetry
• Time questions → phase method
• Graph questions → slope & sign

---

End of Objective Page 9

📚 IIT–JEE Physics Complete Library (Class XI)

Curated for IIT-JEE Advanced Aspirants
Concepts • Numericals • Objective Questions • Revision Capsules

---

🔥 Kinetic Theory of Gases (KTG) – Complete Library

1. KTG – Part 1
2. KTG – Part 2
3. KTG – Part 3
4. KTG – Part 4
5. KTG – Part 5
6. KTG – Part 6
7. KTG – Part 7
8. KTG – Special Notes
9. KTG – Part 9
10. KTG – Part 10
11. KTG – Part 11
12. KTG – Part 12
13. KTG – Part 13
14. KTG – Part 14
15. KTG – Part 15
16. KTG – Part 16
17. KTG – Part 17
18. KTG – Part 18
19. KTG – Part 19
20. KTG – Part 20
21. KTG – Part 21
22. KTG – Part 22
23. KTG – Part 23
24. KTG – Part 24
25. KTG – Part 25
26. KTG – Part 26
27. KTG – Part 27
28. KTG – Part 28
29. KTG – Part 29
30. KTG – Part 30

---

📐 Properties of Matter – Complete IIT-JEE Library

1. Properties – Part 1
2. Properties – Part 2
3. Properties – Part 3
4. Properties – Part 4
5. Properties – Part 5
6. Properties – Part 6
7. Properties – Part 7
8. Properties – Part 8
9. Properties – Part 9
10. Properties – Part 10
11. Properties – Part 11
12. Properties – Part 12
13. Properties – Part 13
14. Properties – Part 14
15. Properties – Part 15
16. Properties – Part 16
17. Properties – Part 17
18. Properties – Part 18
19. Properties – Part 19
20. Properties – Part 20
21. Properties – Part 21
22. Properties – Part 22
23. Properties – Part 23
24. Properties – Part 24
25. Properties – Part 25

---

🌟 Master & Mega Physics Libraries

• IIT-JEE Physics Master Library
• Physics Complete Mega Library
• SHM Complete Library
• Waves – JEE Advanced Library
• Gravitation Library
• Momentum & Collisions Library
• Centre of Mass Library
• Work Energy Power Library

---

📌 Updated regularly • Built for IIT-JEE Success