Question

★ 25 points ★

explain please :-

don't spam ❎ ❎

Answer 1

Final Answer : n = 0.

Steps :

1) Using Dimensional Techniques :
We know that
dim(sin-1(f(x)) = dimensionless = constant.
dim(dx) = dim(x).

2) Rules of Dimension :
Quantities having same dimension are added or subtracted.
Here, x/a - 1. implies x/a is constant
=> dim(x) = dim(a).


Using this,
Given expression has same dimensions in both sides.

dim(x/√x^2) = dim( a^n * sin-1(x/a-1)
=> dim(x/x) = dim(a^n)
since dim(sin-1( ) ) is dimensionless

=> dimensionless = dim(a^n)
=> n= 0.

For Calculation see pic.

Answer 2

Hey mate......

here's ur answer......

Option A ......

Hope it helps ☺️❤️