Question

Two metal wires 'P' and 'Q' of same length and material are stretched by same load. Their masses are in the ratio m₁:m₂. The ratio of elongation of wire 'P' to that of 'Q' is ______.

पर्याय

• `"m"_1^2:"m"_2^2`

• `"m"_2^2:"m"_1^2`

• m₂ : m₁

• m₁ : m₂

Answer 1

Two metal wires 'P' and 'Q' of same length and material are stretched by same load. Their masses are in the ratio m₁:m₂. The ratio of elongation of wire 'P' to that of 'Q' is m₂ : m₁.

Explanation:

Y = `"Fl"/("A"Delta"l"), Delta"l" ="Fl"/"YA"`

m = ρV = ρ × A × l

A ∝ m `(Delta"lP")/(Delta"lQ")="A"_2/"A"_1="m"_2/"m"_1`