KCET · Physics · Units and Dimensions
The dimensional formula of physical quantity is is [ \(\mathrm{M}^{\mathrm{a}} \mathrm{L}^{\mathrm{b}} \mathrm{T}^{\mathrm{c}}\) ]. Then, that physical quantity is
- A spring constant if \(\mathrm{a}=1, \mathrm{~b}=-1, \mathrm{c}=-2\)
- B surface tension if \(\mathrm{a}=1, \mathrm{~b}=1, \mathrm{c}=-2\)
- C force if \(\mathrm{a}=1, \mathrm{~b}=1, \mathrm{c}=2\)
- D angular frequency if \(\mathrm{a}=0, \mathrm{~b}=0, \mathrm{c}=-1\)
Answer & Solution
Correct Answer
(D) angular frequency if \(\mathrm{a}=0, \mathrm{~b}=0, \mathrm{c}=-1\)
Step-by-step Solution
Detailed explanation
Dimensional formula for frequency is \(\left[\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-1}\right]\).
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