In the figure log₁₀y is plotted against log₁₀x

When y is plotted against x, then the plot in the provided range is

Correct option is A

The given figure shows a plot of log₁₀(y) against log₁₀(x), which is a straight line.

This indicates a logarithmic relationship between y and x.

When you plot y against x directly (i.e., removing the logarithms), you expect a power law relationship.

Given that the plot of log₁₀(y) vs log₁₀(x) is a straight line, this implies that: log₁₀y = mlog₁₀​x+c

which translates to:

y = 10_c​.x_m

So, when you plot y against x directly, it will follow a power law curve,

which typically starts with a steep rise and gradually becomes less steep as x increases.

Answer:

The correct plot when y is plotted against x is (a).