NEET
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- Units and Dimensions
NEET · Physics · Units and Dimensions
If and S respectively denote the coefficient of viscosity and...
If and respectively denote the coefficient of viscosity and surface tension of a liquid, then the ratio has the dimensions of:
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
Dimensional formula for the coefficient of viscosity,
Dimensional formula for surface tension,
Now, taking the ratio:
\left[\dfrac{\eta}{S}\right] = \dfrac{[M L^{-1} T^{-1}]}{[M T^{-2}]} = [M^0 L^{-1} T^1][M^0 L^{-1} T^1]
Dimensional formula for surface tension,
Now, taking the ratio:
\left[\dfrac{\eta}{S}\right] = \dfrac{[M L^{-1} T^{-1}]}{[M T^{-2}]} = [M^0 L^{-1} T^1][M^0 L^{-1} T^1]