Which of the following is incorrect?
Which of the following is incorrect?
The correct option is A The dimension of a derived quantity is never zero in any base quantity.
Base quantities:
Base quantities are fundamental quantities from which all other physical quantities can indeed be determined. The derived quantities are the quantities that are derived from the basic quantities.
The explanation for the correct option:
In the case of option A,
- A derived quantity's dimension is almost never in any base quantity; yet, this statement is erroneous since derived quantities could have zero dimensions in some base values.
- For instance, acceleration, a derived quantity, has zero dimensions in mass, a base quantity.
The explanation of incorrect options:
In the case of option D,
According to the definition of the derived quantities, all derived quantities might well be expressed dimensionally in terms of the base values.
In the case of option C,
A base quantity cannot be described dimensionally in terms of other base quantities, which is also true since the basic quantities are independent of one another.
In the case of option B,
The dimension of a basic amount in other base quantities is always zero, which is likewise valid because the assertion follows directly from option C.
Therefore, option A is the incorrect statement or the correct option.
The dimension of a derived quantity is never zero in any base quantity.
Base quantities:
Base quantities are fundamental quantities from which all other physical quantities can indeed be determined. The derived quantities are the quantities that are derived from the basic quantities.
The explanation for the correct option:
In the case of option A,
- A derived quantity's dimension is almost never in any base quantity; yet, this statement is erroneous since derived quantities could have zero dimensions in some base values.
- For instance, acceleration, a derived quantity, has zero dimensions in mass, a base quantity.
The explanation of incorrect options:
In the case of option D,
According to the definition of the derived quantities, all derived quantities might well be expressed dimensionally in terms of the base values.
In the case of option C,
A base quantity cannot be described dimensionally in terms of other base quantities, which is also true since the basic quantities are independent of one another.
In the case of option B,
The dimension of a basic amount in other base quantities is always zero, which is likewise valid because the assertion follows directly from option C.
Therefore, option A is the incorrect statement or the correct option.
