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

The resistance of a conductor is 5 ohm at 50C and 6 ohm at 100C. Its resistance at 0C is

A
3 ohm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4 ohm
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
1 ohm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2 ohm
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 4 ohm
We know that RT=Ro(1+αT) where RT= resistance at temp T,
Ro= resistance at 0C
α= temperature coefficient of resistance.
5=Ro[1+50 α].....(1)
and
6=Ro[1+100 α].....(2)
Dividing (1) by (2),
56=1+50 α1+100 α
6+300 α=5+500 α
or 1=200 α
or α=1200
From Eq. (1),
5=Ro[1+50×1200]
or 5=Ro[1+14]
or Ro=5×45 Ω=4 Ohm

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Dependence of Resistance on Temperature
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon