Hooke's Law


Hooke’s Law : āĻšā§āϕ⧰ āύ⧀āϤāĻŋ


Hooke’s Law states that within the elastic limit, the extension produced in a material is directly proportional to the applied load or force. Hooke’s Law āĻ…āύ⧁āϏ⧰āĻŋ elastic limit-ā§° āĻ­āĻŋāϤ⧰āϤ āϕ⧋āύ⧋ āĻŦāĻ¸ā§āϤ⧁āϤ āĻšā§‹ā§ąāĻž āĻĒā§ā§°āϏāĻžā§°āĻŖ (extension) āĻĒā§ā§°āϝāĻŧā§‹āĻ— āϕ⧰āĻž āĻŦāϞ āĻŦāĻž āĻ­āĻžā§°ā§° āϏ⧈āϤ⧇ āϏāĻŽāĻžāύ⧁āĻĒāĻžāϤāĻŋāĻ•āĨ¤


Formula / āϏ⧂āĻ¤ā§ā§° : F = kx


Where / āϝ’āϤ : i. F = Load or Force (āĻŦāϞ āĻŦāĻž āĻ­āĻžā§°),  ii. k = Spring Constant (āĻ¸ā§āĻĒā§ā§°āĻŋāĻ‚ āĻ§ā§ā§°ā§ā§ąāĻ•), iii. x = Extension (āĻĒā§ā§°āϏāĻžā§°āĻŖ)


Important Point / āϗ⧁⧰⧁āĻ¤ā§āĻŦāĻĒā§‚āĻ°ā§āĻŖ āĻ•āĻĨāĻž



  • More force produces more extension.(āĻ…āϧāĻŋāĻ• āĻŦāϞ⧇ āĻ…āϧāĻŋāĻ• āĻĒā§ā§°āϏāĻžā§°āĻŖ āϘāϟāĻžāϝāĻŧāĨ¤)

  • Hooke’s law is valid only within elastic limit. (Hooke’s law āĻ•ā§‡ā§ąāϞ elastic limit-ā§° āĻ­āĻŋāϤ⧰āϤāĻšā§‡ āϏāĻ¤ā§āϝāĨ¤) 


Elastic Limit (āĻ¸ā§āĻĨāĻŋāϤāĻŋāĻ¸ā§āĻĨāĻžāĻĒāĻ• āϏ⧀āĻŽāĻž): Elastic limit is the maximum limit up to which a body returns to its original shape after removing the force. āĻ¸ā§āĻĨāĻŋāϤāĻŋāĻ¸ā§āĻĨāĻžāĻĒāĻ• āϏ⧀āĻŽāĻž āĻšā§ˆāϛ⧇ āϏ⧇āχ āĻ¸ā§°ā§āĻŦāĻžāϧāĻŋāĻ• āϏ⧀āĻŽāĻž āϝ’āϞ⧈āϕ⧇ āĻŦāϞ āφāρāĻ¤ā§°ā§‹ā§ąāĻžā§° āĻĒāĻŋāĻ›āϤ āĻŦāĻ¸ā§āϤ⧁āĻŸā§‹ āĻĒ⧁āύ⧰ āφāĻ—ā§° āφāĻ•āĻžā§°āϞ⧈ āĻ˜ā§‚ā§°āĻŋ āφāĻšā§‡āĨ¤


Example / āωāĻĻāĻžāĻšā§°āĻŖ : When a spring is stretched by hanging weights, its extension increases proportionally with the load. āĻ¸ā§āĻĒā§ā§°āĻŋāĻ‚āϤ āĻ­āĻžā§° āĻ“āϞ⧋āĻŽāĻžāϞ⧇ āϤāĻžā§° āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻ­āĻžā§°ā§° āϏ⧈āϤ⧇ āϏāĻŽāĻžāύ⧁āĻĒāĻžāϤāĻŋāĻ•āĻ­āĻžā§ąā§‡ āĻŦ⧃āĻĻā§āϧāĻŋ āĻĒāĻžāϝāĻŧāĨ¤


 Applications / āĻŦā§āĻ¯ā§ąāĻšāĻžā§°: i. Spring balance (āĻ¸ā§āĻĒā§ā§°āĻŋāĻ‚ āĻŦ⧇āϞ⧇āĻ¨ā§āϏ), ii. Vehicle suspension systems (āĻ—āĻžāĻĄāĻŧ⧀⧰ suspension system), ii. Measuring force (āĻŦāϞ āĻœā§‹āĻ–āĻž)


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Hooke’s Law – 2 Marks Questions with Answers : āĻšā§āϕ⧰ āύ⧀āϤāĻŋ – ⧍ āύāĻŽā§āĻŦā§°ā§° āĻĒā§ā§°āĻļā§āύ⧋āĻ¤ā§āϤ⧰


1. State Hooke’s Law. Hooke’s Law āωāĻ˛ā§āϞ⧇āĻ– āϕ⧰āĻžāĨ¤


Ans: Hooke’s Law states that within the elastic limit, extension is directly proportional to the applied force or load. āωāĻ¤ā§āϤ⧰: Hooke’s Law āĻ…āύ⧁āϏ⧰āĻŋ elastic limit-ā§° āĻ­āĻŋāϤ⧰āϤ āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻĒā§ā§°āϝāĻŧā§‹āĻ— āϕ⧰āĻž āĻŦāϞ āĻŦāĻž āĻ­āĻžā§°ā§° āϏ⧈āϤ⧇ āϏāĻŽāĻžāύ⧁āĻĒāĻžāϤāĻŋāĻ•āĨ¤


2. Write the formula of Hooke’s Law. Hooke’s Law-ā§° āϏ⧂āĻ¤ā§ā§° āϞāĻŋāĻ–āĻžāĨ¤


Ans: F = kx
Here, F is force, k is spring constant, and x is extension.




 



āωāĻ¤ā§āϤ⧰: āχāϝāĻŧāĻžāϤ āĻšā§ˆāϛ⧇ āĻŦāϞ, āĻšā§ˆāϛ⧇ spring constant āφ⧰⧁ āĻšā§ˆāϛ⧇ āĻĒā§ā§°āϏāĻžā§°āĻŖāĨ¤


3. What is elastic limit ? Elastic limit āĻ•āĻŋ ?


Ans: Elastic limit is the maximum limit up to which a body regains its original shape after removing the force. āωāĻ¤ā§āϤ⧰: Elastic limit āĻšā§ˆāϛ⧇ āϏ⧇āχ āĻ¸ā§°ā§āĻŦāĻžāϧāĻŋāĻ• āϏ⧀āĻŽāĻž āϝ’āϞ⧈āϕ⧇ āĻŦāϞ āφāρāĻ¤ā§°ā§‹ā§ąāĻžā§° āĻĒāĻŋāĻ›āϤ āĻŦāĻ¸ā§āϤ⧁āĻŸā§‹ āφāĻ—ā§° āφāĻ•āĻžā§°āϞ⧈ āĻ˜ā§‚ā§°āĻŋ āφāĻšā§‡āĨ¤


4. What happens when force on a spring increases ? āĻ¸ā§āĻĒā§ā§°āĻŋāĻ‚āϤ āĻŦāϞ āĻŦ⧃āĻĻā§āϧāĻŋ āĻĒāĻžāϞ⧇ āĻ•āĻŋ āϘāĻŸā§‡ ?


Ans: The extension of the spring increases. āωāĻ¤ā§āϤ⧰: āĻ¸ā§āĻĒā§ā§°āĻŋāς⧰ āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻŦ⧃āĻĻā§āϧāĻŋ āĻĒāĻžāϝāĻŧāĨ¤


5. Name one application of Hooke’s Law. Hooke’s Law-ā§° āĻāϟāĻž āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āϞāĻŋāĻ–āĻžāĨ¤


Ans: Spring balance works on Hooke’s Law. āωāĻ¤ā§āϤ⧰: Spring balance-āĻ Hooke’s Law-ā§° āĻ“āĻĒā§°āϤ āĻ•āĻžāĻŽ āϕ⧰⧇āĨ¤














Hooke’s Law 5 Marks Questions with Answers āĻšā§āϕ⧰ āύ⧀āϤāĻŋ – ā§Ģ āύāĻŽā§āĻŦā§°ā§° āĻĒā§ā§°āĻļā§āύ⧋āĻ¤ā§āϤ⧰


1. Explain Hooke’s Law with an example. āωāĻĻāĻžāĻšā§°āĻŖāϏāĻš Hooke’s Law āĻŦā§āϝāĻžāĻ–ā§āϝāĻž āϕ⧰āĻžāĨ¤

Ans: Hooke’s Law states that within the elastic limit, the extension produced in a body is directly proportional to the applied force. When weights are hung on a spring, the spring stretches. If the load increases, the extension also increases proportionally. When the load is removed, the spring returns to its original shape if the elastic limit is not crossed.


āωāĻ¤ā§āϤ⧰: Hooke’s Law āĻ…āύ⧁āϏ⧰āĻŋ elastic limit-ā§° āĻ­āĻŋāϤ⧰āϤ āϕ⧋āύ⧋ āĻŦāĻ¸ā§āϤ⧁āϤ āĻšā§‹ā§ąāĻž āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻĒā§ā§°āϝāĻŧā§‹āĻ— āϕ⧰āĻž āĻŦāϞ⧰ āϏ⧈āϤ⧇ āϏāĻŽāĻžāύ⧁āĻĒāĻžāϤāĻŋāĻ•āĨ¤ āϝ⧇āϤāĻŋāϝāĻŧāĻž āĻ¸ā§āĻĒā§ā§°āĻŋāĻ‚āϤ āĻ­āĻžā§° āĻ“āϞ⧋āĻŽā§‹ā§ąāĻž āĻšāϝāĻŧ, āĻ¸ā§āĻĒā§ā§°āĻŋāĻ‚āĻŸā§‹ āĻĻā§€āϘāϞ āĻšāϝāĻŧāĨ¤ āĻ­āĻžā§° āĻŦ⧃āĻĻā§āϧāĻŋ āĻĒāĻžāϞ⧇ āĻĒā§ā§°āϏāĻžā§°āĻŖā§‹ āϏāĻŽāĻžāύ⧁āĻĒāĻžāϤāĻŋāĻ•āĻ­āĻžā§ąā§‡ āĻŦ⧃āĻĻā§āϧāĻŋ āĻĒāĻžāϝāĻŧāĨ¤ Elastic limit āĻ…āϤāĻŋāĻ•ā§ā§°āĻŽ āύāϕ⧰āĻŋāϞ⧇ āĻ­āĻžā§° āφāρāĻ¤ā§°ā§‹ā§ąāĻžā§° āĻĒāĻŋāĻ›āϤ āĻ¸ā§āĻĒā§ā§°āĻŋāĻ‚ āφāĻ—ā§° āĻ…ā§ąāĻ¸ā§āĻĨāĻžāϞ⧈ āĻ˜ā§‚ā§°āĻŋ āφāĻšā§‡āĨ¤


2. Define spring constant. Spring constant-ā§° āϏāĻ‚āĻœā§āĻžāĻž āĻĻāĻŋāϝāĻŧāĻžāĨ¤

Ans: Spring constant is the force required to produce unit extension in a spring. It is represented by kk. āωāĻ¤ā§āϤ⧰: Spring constant āĻšā§ˆāϛ⧇ āĻ¸ā§āĻĒā§ā§°āĻŋāĻ‚āϤ āĻāĻ•āĻ• āĻĒā§ā§°āϏāĻžā§°āĻŖ āϘāϟāĻžāĻŦāϞ⧈ āĻĒā§ā§°āϝāĻŧā§‹āϜāύ āĻšā§‹ā§ąāĻž āĻŦāϞāĨ¤ āχāϝāĻŧāĻžāĻ• kk āĻĻā§āĻŦāĻžā§°āĻž āĻĒā§ā§°āĻ•āĻžāĻļ āϕ⧰āĻž āĻšāϝāĻŧāĨ¤


3. Write the formula of Hooke’s Law and explain the terms. Hooke’s Law-ā§° āϏ⧂āĻ¤ā§ā§° āϞāĻŋāĻ–āĻž āφ⧰⧁ āϚāĻŋāĻšā§āύāϏāĻŽā§‚āĻš āĻŦā§āϝāĻžāĻ–ā§āϝāĻž āϕ⧰āĻžāĨ¤

 Ans: F = Kx, F = Applied force (āĻĒā§ā§°āϝāĻŧā§‹āĻ— āϕ⧰āĻž āĻŦāϞ), = Spring constant, = Extension produced (āĻ‰ā§ŽāĻĒāĻ¨ā§āύ āĻšā§‹ā§ąāĻž āĻĒā§ā§°āϏāĻžā§°āĻŖ)


4. Mention two applications of Hooke’s Law. Hooke’s Law-ā§° āĻĻ⧁āϟāĻž āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āωāĻ˛ā§āϞ⧇āĻ– āϕ⧰āĻžāĨ¤

Ans: i. Spring balance  ii. Vehicle suspension system (āĻ—āĻžāĻĄāĻŧ⧀⧰ suspension system)


5. Why is Hooke’s Law valid only within elastic limit ? Hooke’s Law āĻ•ā§‡ā§ąāϞ elastic limit-ā§° āĻ­āĻŋāϤ⧰āϤ āĻ•āĻŋāϝāĻŧ āϏāĻ¤ā§āϝ ?

Ans: Beyond the elastic limit, the body does not regain its original shape completely, so extension is no longer proportional to force. āωāĻ¤ā§āϤ⧰: Elastic limit āĻ…āϤāĻŋāĻ•ā§ā§°āĻŽ āϕ⧰āĻŋāϞ⧇ āĻŦāĻ¸ā§āϤ⧁āĻŸā§‹ āϏāĻŽā§āĻĒā§‚ā§°ā§āĻŖāĻ­āĻžā§ąā§‡ āφāĻ—ā§° āφāĻ•āĻžā§°āϞ⧈ āĻ˜ā§‚ā§°āĻŋ āύāĻžāĻšā§‡, āϏ⧇āϝāĻŧ⧇āĻšā§‡ āĻĒā§ā§°āϏāĻžā§°āĻŖ āφ⧰⧁ āĻŦāϞ āϏāĻŽāĻžāύ⧁āĻĒāĻžāϤāĻŋāĻ• āύāĻžāĻĨāĻžāϕ⧇āĨ¤