Two particles are allowed to execute SHM along tunnels, inside earth. Time period is T 1 for the tunnel, passing through centre of earth, and T 2 when tunnel makes an angle 6 0 ∘ with previous tunnel. Find T 2 T 1 . (Assume there are zero dissipation forces acting on particles inside tunnel, and mass distribution of earth is uniform)

Time period is same for both tunnels i.e. T = 2 π g R

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Two particles are allowed to execute SHM along tunnels, inside earth. Time period is $T_{1}$ for the tunnel, passing through centre of earth, and $T_{2}$ when tunnel makes an angle $6 0^{\circ}$ with previous tunnel. Find $\frac{T _{1}}{T _{2}}$ . (Assume there are zero dissipation forces acting on particles inside tunnel, and mass distribution of earth is uniform)

Answer:

Solution:

Time period is same for both tunnels i.e.

$T = 2 π \frac{R}{g}$

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Field & Force

⏱ 2mℹ️ Source: QB

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