1.

Let P represent radiation pressure, c represent speed of light and l represent radiation energy striking a unit area per second, then p^x×l^y×c^z will be dimensionless for what value of x,y,z

Answer»

Dimension of P = [ML⁻¹T⁻²] [ ∵ pressure = force/area , Force = [MLT⁻²] ]
dimension of I = [ML²T⁻²]/[L²][T] = [MT⁻³] [ ∵ ENERGY = [ML²T⁻²] ]
dimension of C = [LT⁻¹]

Now, P^x × I^y × c^Z = dimensionless
[ML⁻¹T⁻²]^x × [MT⁻³]^y × [LT⁻¹]^z = [M⁰L⁰T⁰]
[M]^(x + y) [L]^(-x + z) [T]^(-2x +3Y -z) = [M⁰L⁰T⁰]
Compare both sides,
(x + y) = 0
(-x + z) = 0
(-2x + 3y - z) = 0
After solving EQUATIONS , we get x = 0, y = 0 and z = 0
Hence, x = 0, y = 0, z = 0


Discussion

No Comment Found

Related InterviewSolutions