GATE Mechanical Engineering (ME) 2023 Shift 1 Solved Paper

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Question : 65 of 65
 
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An explosion at time t = 0 releases energy 𝐸 at the origin in a space filled with a gas of density ρ. Subsequently, a hemispherical blast wave propagates radially outwards as shown in the figure.
Let R denote the radius of the front of the hemispherical blast wave. The radius R follows the relationship 𝑅 = 𝑘 𝑡𝑎 𝐸 𝑏 𝜌𝑐, where k is a dimensionless constant. The value of exponent a is ___________.
(Rounded off to one decimal place)

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