A given object takes $n$ times the time to slide down $45^{\circ}$ rough inclined plane as it takes the time to slide down an identical perfectly smooth $45^{\circ}$ inclined plane. The coefficient of kinetic friction between the object and the surface of inclined plane is :
  • A $1-\frac{1}{\mathrm{n}^2}$
  • B$1-n^2$
  • C$\sqrt{1-\frac{1}{n^2}}$
  • D$\sqrt{1-n^2}$
JEE MAIN 2024, Diffcult
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