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Standard XI
Physics
Dimensions and Dimensional Analysis
Question

A student forgot Newton's formula for the speed of sound but he knows that there was speed $$(v)$$, pressure $$(P)$$, and density $$(d)$$ in the formula. He then starts using the dimensional analysis method to find the actual relation.
$$ v = kP^{x}d^{y}$$
Where $$k$$ is a dimensionless constant. On the basis of above passage answer the following question:
The value of $$x$$ is

A
$$ 1 $$
B
$$\dfrac{1}{2}$$
C
$$- \dfrac{1}{2}$$
D
$$ 2 $$
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Solution
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Correct option is B. $$\dfrac{1}{2}$$

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