Q.

If p represents radiation pressure, c represents speed of light and q represents radiation energy striking a unit area per second, then non-zero integers a, b and c are such that paqbcc is dimensionless, then

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a

a = 1, b = 1, c = -1

b

a = 1, b = -1, c = 1

c

a = -1, b = 1, c = 1

d

a = 1, b = 1, c = 1

answer is B.

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Detailed Solution

Here, [M0L0T0]=[ML−1T−2]a[ML−3]b[LT−1]cor [M0L0T0]=[Ma+bL−a+cT−2a−3b−c]Comparing powers of M, L and T, we geta + b = 0,-a + c = 0,-2a -3b = 0Solving, a =1, b = -1, c =1
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