wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The cross sections of five resistors which are made from the same metal and have the same lengths are shown below. Each of the resistors is connected to the same battery and an ammeter (see the circuit diagram below).
Resistors (a), (b) and (c) are solid and have radii of R/2,R and 2R respectively.
Resistors (d) and (e) have a cylindrical hole in the center.
The outer radii of the resistors (d) and (e) are R and 2R.
The diameters of holes of these resistors are R/2 for the resistor (d) and R for the resistor (e).
Rank the situations (a) through (e) from the lowest ammeter reading to the highest ammeter reading.
496202.jpg

A
e, d, b, c, a
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
a, c, b, d, e
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
c, e, b, a, d
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
d, a, b, e, c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
E
c, e, b, d, a
No worries! We‘ve got your back. Try BYJU‘S free classes today!
F
a, d, b, e, c
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is F a, d, b, e, c
Conductance K=σAL where A is the cross-section area
KA (σ and L are constants )
(a) Aa=π(R/2)2=0.25 πR2
(b) Ab=π(R)2=πR2
(c) Ac=π(2R)2=4 πR2
(d) Ad=π(R)2π(R/2)2=0.75 πR2
(e) Ae=π(2R)2π(R)2=3 πR2
Aa<Ad<Ab>Ae<Ac Ka<Kd<Kb<Ke<Kc
Current in the resistors I=VK IK
Ia<Id<Ib<Ie<Ic i.e option E is correct.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Conductivity and Resistivity
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon