Identify the dimensional constant. A Force B Momentum C Planck’s constant D Specific gravity
Question
Identify the dimensional constant. A Force B Momentum C Planck’s constant D Specific gravity
Solution
The dimensional constant among the options given is C Planck’s constant.
Here's why:
A. Force is not a dimensional constant. It is a vector quantity with dimensions [MLT^-2] in the MKS system.
B. Momentum is also not a dimensional constant. It is a vector quantity with dimensions [MLT^-1] in the MKS system.
C. Planck’s constant (h) is a dimensional constant. It has dimensions of energy multiplied by time, which are [ML^2T^-1] in the MKS system.
D. Specific gravity is a dimensionless quantity. It is the ratio of the density of a substance to the density of a reference substance. As it is a ratio, it has no dimensions.
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Force has the dimension of mass times acceleration:Force=𝑀⋅𝐿⋅𝑇−2Force=M⋅L⋅T −2
What is the dimension of specific gravity?M2 L2 T1L2 T1L3 T1None of the above
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