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P represents radiation pressure. c represents speed of light and S represents radiation energy striking per unit area per sec. The non zero integers x,y,z such that PxSycz is dimensionless are

(a) x =1, y = 1, z =1

(b) x = -1, y = 1, z = 1

(c) x = 1, y = -1, z = 1

(d) x = 1, y = 1 , z = -1

1 Answer

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Best answer

Correct Option (c) x = 1, y = -1, z = 1

Explanation:

Let k PxSycz   ...(i)

Dimensions of k = [M0L0T0]

Applying the principle of homogeneity of dimensions, we get

x + y = 0   ...(i)

-x + z = 0   ...(ii)

-2x - 3y - z = 0  ...(iv)

Solving (ii), (iii) and (iv), we get

x = 1, y =  -1, z = 1

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