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Question
Which of the following is unitless quantity?
Which of the following is unitless quantity?
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Solution
The correct option is C Displacement gradient
The gradient of any physical quantity is
computed to as per unit length. This means it is a rate with respect to length.
So, the Displacement gradient will also be length per unit length. Because a
displacement gradient is the ratio of two quantities having dimensions of
"length". That is, a displacement gradient has units of a meter per
meter for example.
The length dimensions will be cancelled, and we have a
unitless quantity. While others will be having certain
units. Hence it is a unitless quantity.
Thus option B is correct.
The gradient of any physical quantity is computed to as per unit length. This means it is a rate with respect to length. So, the Displacement gradient will also be length per unit length. Because a displacement gradient is the ratio of two quantities having dimensions of "length". That is, a displacement gradient has units of a meter per meter for example.
The length dimensions will be cancelled, and we have a unitless quantity. While others will be having certain units. Hence it is a unitless quantity.
Thus option B is correct.
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