Question

Question 4.24 Read each statement below carefully and state, with reasons 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

Chapter Motion In A Plane Page 87

Answer 1

(A) False because , all scalar quantities do not conserved in a process . the best of example of it is energy which can't be conserved in inelastic collision.

(B) False, some scalar quantities can take negative value. example temperature of ice -1°C , -2°C it's negative but it is scalar quantity.

(C) False , there are many scalar quantities having dimensions. density , volume , temperature etc all have dimensions.

(D) false , some scalar quantities do vary from one point to other in space like dnesity , charge density , tempreture , potnetial etc .

(e) yeah off- course !! As orientation of axes don't change in magnitude of scalar .example ; mass , density etc are independent of the orientation of axes.

Answer 2

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a) False

Despite being a scalar quantity, energy is not conserved in inelastic collisions.

b) False

Despite being a scalar quantity, temperature can take negative values.

c) False

Total path length is a scalar quantity. Yet it has the dimension of length.

d) False

A scalar quantity such as gravitational potential can vary from one point to another in space.

e) True

The value of a scalar does not vary for observers with different orientations of axes.

I hope, this will help you

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