Mechanical Engineering > GATE 2023 > Dimensional Analysis
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 Eb ρc, where k is a dimensionless constant.
The value of exponent a is ___________.
(Rounded off to one decimal place)
Let R denote the radius of the front of the hemispherical blast wave. The radius R follows the relationship R = k ta Eb ρc, where k is a dimensionless constant.
The value of exponent a is ___________.
(Rounded off to one decimal place)

Correct : 0.4
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