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Read each statement below carefully and ...

Read each statement below carefully and state with reason and examples, if it is true or false.
A scalar quantity is one that
(a) is conserved in a process
(b) can never take negative values
(c) must be dimensionless
(d) does not vary from one point to another in space
(e) has the same value for observers with different orientations of axes.

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To determine whether each statement about scalar quantities is true or false, we will analyze each statement one by one, providing reasons and examples. ### Solution: **(a) A scalar quantity is conserved in a process.** - **Answer:** False - **Reason:** Not all scalar quantities are conserved in every process. For example, in nuclear reactions, mass is not conserved due to mass-energy equivalence. Similarly, in inelastic collisions, kinetic energy (a scalar quantity) is not conserved. - **Example:** In a nuclear reaction, the total mass before the reaction does not equal the total mass after the reaction. ...
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NCERT ENGLISH-MOTION IN A PLANE -EXERCISE
  1. A man can swim with a speed of 4kmh^(-1) in still water. He crosses a ...

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  2. In a harbour, wind is blowing at the speed of 72 km //h and the flag ...

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  3. The ceiling of a long hall is 25 m high. What is the maximum horizont...

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  4. A cricketer can throw a ball to a maximum horizontal distance of 100m...

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  5. A stone tied to end of a string 80 cm long is whirled in a horizontal...

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  6. An aircraft executes a horizontal loop of radius 1 km with a steady sp...

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  7. Read each statement below carefully and state, with reasons, if it is ...

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  8. The position of a particle is given by vec r= 3.0 t hat i - 2.0 t^2 h...

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  9. A particle starts from the origin at t=0 with a velocity of 10.0 hat...

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  10. hat(i) and hat(j) are unit vectors along x-and y-axis respectively. Wh...

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  11. For any arbitrary motion in space, which of the following relations ar...

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  12. Read each statement below carefully and state with reason and examples...

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  13. An aircraft is flying at a height of 3400 m above the ground. If the a...

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  14. A vector has magnitude and direction (i) Does it have a location in th...

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  15. A vector has both magnitude and direction. Does that mean anything tha...

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  16. Can you associate vectors with (a) the length of a wire bent into a lo...

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  17. A bullet fired at an angle of 30^@ with the horizontal hits the ground...

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  18. A fighter plane flying horizontally at an altitude of 1.5 km with spee...

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  19. A cyclist is riding with a speed of 27 km h^(-1). As he approaches a c...

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  20. Show that for a projectile the angle between the velocity and the x-ax...

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