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- Assertion: The force exerted by a spring is directly proportional to its displacement from its equilibrium position. Reason: The spri
Assertion: The force exerted by a spring is directly proportional to its displacement from its equilibrium position.
Reason: The spring force follows Hooke's Law, which states that the force exerted by a spring is directly proportional to its displacement from its equilibrium position.
Only Assertion is correct.
Only Reason is correct.
Both Assertion and Reason are correct
Both Assertion and Reason are wrong.
Answers (1)
The assertion is correct, and the reason is also correct and provides a scientific explanation for the assertion. Hooke's Law describes the relationship between the force exerted by a spring and its displacement from its equilibrium position. According to Hooke's Law, the force exerted by a spring is directly proportional to its displacement from its equilibrium position.
Mathematically, this relationship can be expressed as F = -kx, where F is the force exerted by the spring, x is the displacement from the equilibrium position, and k is the spring constant. The negative sign in the equation indicates that the force exerted by the spring is always in the opposite direction to the displacement from the equilibrium position.
Therefore, as the displacement from the equilibrium position increases, the force exerted by the spring also increases, and vice versa. This relationship is crucial in understanding the behaviour of springs in various mechanical systems, such as suspension systems, shock absorbers, and more.
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