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 processb. can never take negative valuesc. must be dimensionlessd. does not vary from one point to another in spacee. has the same value for observers with different orientations of axes.
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A. It's False statement.
A scalar quantity is one which only has magnitude and no direction e.g. Speed, Pressure, Energy, Temperature etc. they need not always be conserved in a pressure for example : in most thermodynamic process pressure, Temperature of the system varies, in inelastic collisions Energy of particles are not conserved etc. so we cannot say scalar quantity is always conserved in a process.
B. it's false statement.
Scalar quantities do not have a direction but they can take both positive and negative values and the sign does not depict direction for example , Temperature is a scalar quantity and can have negative values but its negative sign does not depict direction because it does not have a direction it’s just a value less than reference 0 value.
C. It's false statement.
scalar quantities have unit as well as dimension for example, distance is a scalar quantity and is measured in metres so its dimension is L ,Speed is a scalar quantity and its unit is m/s so its dimension is LT^-1.
D. It's false statement.
Scalar quantities can vary from point to point in space and values need not be constant in space just like vector quantities for example, Potential energy is a scalar quantity, and potential energy is body possessed by the body due to virtue of its position and as the position changes the potential energy certainly changes like gravitational potential energy of an object depends on the height from ground i.e. the quantity vary with change in position and hence vary from one point to another in space.
E. it's true statement.
Scalar quantity does not have a direction, it only has magnitude and if orientation of axes is changed only direction of observation changes and magnitude remain same but since scalar quantity does not have a direction, direction of observation is meaningless and as magnitude is constant to there is no change at all.
A scalar quantity is one which only has magnitude and no direction e.g. Speed, Pressure, Energy, Temperature etc. they need not always be conserved in a pressure for example : in most thermodynamic process pressure, Temperature of the system varies, in inelastic collisions Energy of particles are not conserved etc. so we cannot say scalar quantity is always conserved in a process.
B. it's false statement.
Scalar quantities do not have a direction but they can take both positive and negative values and the sign does not depict direction for example , Temperature is a scalar quantity and can have negative values but its negative sign does not depict direction because it does not have a direction it’s just a value less than reference 0 value.
C. It's false statement.
scalar quantities have unit as well as dimension for example, distance is a scalar quantity and is measured in metres so its dimension is L ,Speed is a scalar quantity and its unit is m/s so its dimension is LT^-1.
D. It's false statement.
Scalar quantities can vary from point to point in space and values need not be constant in space just like vector quantities for example, Potential energy is a scalar quantity, and potential energy is body possessed by the body due to virtue of its position and as the position changes the potential energy certainly changes like gravitational potential energy of an object depends on the height from ground i.e. the quantity vary with change in position and hence vary from one point to another in space.
E. it's true statement.
Scalar quantity does not have a direction, it only has magnitude and if orientation of axes is changed only direction of observation changes and magnitude remain same but since scalar quantity does not have a direction, direction of observation is meaningless and as magnitude is constant to there is no change at all.
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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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