wiz-icon
MyQuestionIcon
MyQuestionIcon
5
You visited us 5 times! Enjoying our articles? Unlock Full Access!
Question

A tunnel is dug along a chord of the earth at a perpendicular distance R/2 from the earth's centre. The wall of the tunnel may be assumed to be frictionless. A particle is released from one end of the tunnel. The pressing force by the particle on the wall and the acceleration of the particle varies with x (distance of the particle from the centre) according to


A

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B


Net force towards centre of earth = mg' = mgxR

Normal force N = mg'sinθ

Thus pressing Force N = mgxRR2x

N= Mg2 constant and independent of x.

Hence (B) Tangential force F=ma=mg'cosθ

Q=g'cosθ=gxR24x2rx

α = gx R24x2


flag
Suggest Corrections
thumbs-up
1
similar_icon
Similar questions
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Kepler's Law
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon