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Choose the correct statement(s)....

Choose the correct statement(s).

A

Speed and velocity both have same units.

B

If a body has a speed of 50 m `s^(-1)` in a straight line path, then its velocity is 180 km `h^(-1)`.

C

Speed of a vehicle is measured by a device called speedometer.

D

All of the above

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AI Generated Solution

The correct Answer is:
To solve the question "Choose the correct statement(s)", we need to analyze the statements provided and determine their validity based on the principles of physics, particularly kinematics. ### Step-by-Step Solution: 1. **Understanding Speed and Velocity**: - Speed is defined as the distance traveled per unit of time and is a scalar quantity, meaning it only has magnitude (no direction). - Velocity, on the other hand, is defined as the displacement per unit of time and is a vector quantity, meaning it has both magnitude and direction. **Hint**: Remember that scalar quantities do not involve direction, while vector quantities do. 2. **Units of Speed and Velocity**: - Both speed and velocity are measured in the same units, typically meters per second (m/s) in the SI system. This means that the statement "Speed and velocity both have the same units" is true. **Hint**: Units can be the same even if the quantities are different. 3. **Speed in a Straight Line**: - If a body moves in a straight line, the distance traveled is equal to the displacement. Therefore, in this case, speed and velocity will have the same numerical value. For example, if a body has a speed of 50 m/s in a straight line, its velocity will also be 50 m/s in the same direction. **Hint**: Consider the relationship between distance and displacement in straight-line motion. 4. **Conversion of Units**: - To convert speed from meters per second to kilometers per hour, we multiply by the conversion factor \( \frac{18}{5} \). For instance, \( 50 \, \text{m/s} \times \frac{18}{5} = 180 \, \text{km/h} \). This confirms that both speeds are equivalent in different units. **Hint**: Familiarize yourself with common unit conversion factors. 5. **Speed Measurement**: - The speed of a vehicle is measured by a device called a speedometer. This device provides the instantaneous speed, which is the speed at a specific moment in time. **Hint**: Recall the function of a speedometer in vehicles. 6. **Conclusion**: - Since all the statements provided in the question are true, the correct answer is "All of the above". ### Final Answer: - The correct option is **Option 4: All of the above**.
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PEARSON IIT JEE FOUNDATION-KINEMATICS-TEST YOUR CONCEPTS (VERY SHORT ANSWER TYPE QUESTIONS (SELECT THE CORRECT ALTERNATIVE))
  1. The ratio of unit of acceleration and velocity gives unit of the physi...

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  2. Unit of speed is

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  3. The motion of a body is depicted graphically as shown in the figure, t...

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  4. The speed of the tip of a second hand of length 5 cm of a clock is ms...

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  5. The time period of a pendulum is independent of

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  6. The distance between two stations is 20 km. If a train moves with a co...

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  7. The distance -time graph of an object is a straight line parallel to t...

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  8. A car moves with a speed of 60 km h^(-1) for 20 min and then at a spee...

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  9. The distance- time graph of a body is as shown in the figure. The part...

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  10. A body moves with a uniform speed of 10 km h^(-1) for 2 h. The average...

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  11. The distance-time graph of a moving vehicle is as shown in the figure.

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  12. 1kmh^(-1) = ms^(-1).

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  13. Choose the correct statement(s).

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  14. A person starts from a point P and travels along a path PQRS as shown ...

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  15. A simple pendulum was given to a physics student to determine its time...

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  16. A body cover 20 m in 2 s and another 20 m in next 4s. Arrange the foll...

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  17. In the case of a simple pendulum, a graph is drawn between the displac...

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  18. In the case of a simple pendulum, a graph is drawn between the displac...

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  19. In the case of a simple pendulum, a graph is drawn between the displac...

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  20. In the case of a simple pendulum, a graph is drawn between the displac...

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