Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance R2 from the earth’s centre, where ‘R’ is the radius of the Earth. The wall of the tunnel is frictionless. If a particle is released in this tunnel, it will execute a simple harmonic motion with a time period:
see full answer
High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET
🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya
a
2πRg
b
2πRg
c
12πgR
d
g2πR
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
At a displacement ’y’ from’O’⇒ma=−mGMrR3sinθ⇒ma=−GMmR3y⇒a=−GMR3y=−gRy Comparing with a=−ω2y⇒ω=gR⇒T=2πω=2πRg