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Assertion : We can call circular motion ...

Assertion : We can call circular motion also as simple harmonic motion.
Reason : Angular velocity in uniform circular motion and angular frequency in simple harmonic motion have the same meanings.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion and reason question, we need to analyze both statements separately. ### Step 1: Analyze the Assertion - **Assertion**: "We can call circular motion also as simple harmonic motion." - **Explanation**: Circular motion and simple harmonic motion (SHM) are related but distinct concepts. In SHM, the motion is oscillatory and occurs around a mean position, while circular motion involves movement along a circular path. Although a point moving in a circle can project its motion onto a diameter to represent SHM, circular motion itself does not qualify as SHM. Therefore, the assertion is **incorrect**. ### Step 2: Analyze the Reason - **Reason**: "Angular velocity in uniform circular motion and angular frequency in simple harmonic motion have the same meanings." - **Explanation**: Angular velocity (ω) in uniform circular motion is defined as the rate of change of angular displacement with respect to time (ω = dθ/dt). On the other hand, angular frequency (also denoted as ω) in SHM is defined as the rate of oscillation, which can be expressed as ω = 2π/T, where T is the time period of the oscillation. While both quantities share the same symbol (ω) and are related to the rate of change of angle, they represent different physical concepts. Thus, the reason is **correct**. ### Conclusion - The assertion is **false** because circular motion cannot be classified as simple harmonic motion. - The reason is **true** because angular velocity and angular frequency have a similar mathematical representation but refer to different types of motion. ### Final Answer - The correct option is: Assertion is false, but Reason is true. ---
To solve the assertion and reason question, we need to analyze both statements separately. ### Step 1: Analyze the Assertion - **Assertion**: "We can call circular motion also as simple harmonic motion." - **Explanation**: Circular motion and simple harmonic motion (SHM) are related but distinct concepts. In SHM, the motion is oscillatory and occurs around a mean position, while circular motion involves movement along a circular path. Although a point moving in a circle can project its motion onto a diameter to represent SHM, circular motion itself does not qualify as SHM. Therefore, the assertion is **incorrect**. ### Step 2: Analyze the Reason - **Reason**: "Angular velocity in uniform circular motion and angular frequency in simple harmonic motion have the same meanings." ...
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