SATHEE: Physical World Units and Measurements

Physical World Units and Measurements - Result Question 15

15. If the dimensions of a physical quantity are given by $M^{a} L^{b} T^{c}$ , then the physical quantity will be:

[2009]

(a) Velocity if $a = 1, b = 0, c = - 1$

(b) Acceleration if $a = 1, b = 1, c = - 2$

(d) Pressure if $a = 1, b = - 1, c = - 2$

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Answer:

Correct Answer: 15. (d)

Solution:

(d) Pressure $= \frac{Force}{Area}$

$\Rightarrow \frac{[M L T^{- 2}]}{[L^{2}]} = [M L^{- 1} T^{- 2}]$

$\Rightarrow a = 1, b = - 1, c = - 2$ .

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Physical World Units and Measurements - Result Question 15

15. If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be:

Answer:

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15. If the dimensions of a physical quantity are given by $M^{a} L^{b} T^{c}$ , then the physical quantity will be: