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STATEMENT - 1 : If the body is moving in...

STATEMENT - 1 : If the body is moving in the opposite direction of positive motion, then its speed is negative.
STATEMENT - 2 : A scalar quantity is one that must be dimensionless.
STATEMENT - 3 : A body is momentarily at rest when it reverse its direction of motion.

A

FFT

B

TFT

C

TTF

D

FTT

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided, we will evaluate each one step by step. ### Step 1: Evaluate Statement 1 **Statement 1:** If the body is moving in the opposite direction of positive motion, then its speed is negative. **Analysis:** - Speed is defined as the magnitude of velocity. - Velocity can be negative if the body is moving in the opposite direction of the chosen positive direction. - However, speed, being a scalar quantity, is always non-negative. **Conclusion:** This statement is **false**. ### Step 2: Evaluate Statement 2 **Statement 2:** A scalar quantity is one that must be dimensionless. **Analysis:** - A scalar quantity is defined as a quantity that has magnitude but no direction. - Scalars can have dimensions. For example, speed (a scalar) has dimensions of length/time (LT⁻¹). - Therefore, not all scalar quantities are dimensionless. **Conclusion:** This statement is **false**. ### Step 3: Evaluate Statement 3 **Statement 3:** A body is momentarily at rest when it reverses its direction of motion. **Analysis:** - Consider a body moving upward and reaching its maximum height. At this point, its velocity becomes zero for an instant before it starts moving downward. - This indicates that the body is momentarily at rest at the maximum height before changing direction. **Conclusion:** This statement is **true**. ### Final Summary - **Statement 1:** False - **Statement 2:** False - **Statement 3:** True
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