Flag Engineering Entrance Exams> One Kg of copper is drawn into a wire of ...
question mark

One Kg of copper is drawn into a wire of 1mm diameter and a wire of 2 mm diameter. The resistance of the two wires will be in theratio(A) 2 : 1 (B) 1 : 2 (C) 16 : 1 (D) 4 : 1

aniket anand , 11 Years ago
Grade
anser 2 Answers
Arun

Last Activity: 4 Years ago

Let r1 and r2 be the resistance of two wires.
Let l1 and l2 be the lengthsand density be d.
As mass of copper =1kg is same for both wires,
mass of first wire=mass of second wire.
volumexdensity of  first wire = volume x density of second wire.
v1xd=v2xd2(πr1² l₁) x d 
= (π r2² l₂)xdl₁/l₂=(r₂/r₁)² ----- equation 1
now ratio of resistances of two wires
R1/R2₂= (ρ l₁/A₁)/(ρ l₂/A₂)
=(A₂/A₁) x l₁/l₂
=(πr₂²/πr₁² )x (r₂/r₁) ² --------------[from equation 1]   
=(r₂/r₁)⁴
=(2/1)⁴
=16: 1
so, the ratio of new resistances of wires will be 16:1
therefore, R1/R2=16/1
R1=16R2
 

Vikas TU

Last Activity: 4 Years ago

v1xd=v2xd2(πr1² l₁) x d
= (π r2² l₂)xdl₁/l₂=(r₂/r₁)² ----- equation 1
now ratio of resistances of two wires
R1/R2₂= (ρ l₁/A₁)/(ρ l₂/A₂)
=(A₂/A₁) x l₁/l₂
=(πr₂²/πr₁² )x (r₂/r₁) ² --------------[from equation 1]   
=(r₂/r₁)⁴
=(2/1)⁴
=16: 1
 

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

question mark
consider the figure of a single riveted lap joint as follows
engineering entrance exams
0 Answer Available

Last Activity: 2 Years ago

question mark
Hello, Can we learn and prepare for MHT-CET online ?
engineering entrance exams
0 Answer Available

Last Activity: 3 Years ago