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rajan jha Grade: 12
        

Suppose a vertical tunnel is along the diameter of earth, assumed to be a sphere of uniform mass density "d". If a body of mass m is thrown in this tunnel, its acceleration at a distance y from the centre is -------------- 

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

consider a sphere of radius y inside the bigger sphere then ,


mass of this sphere is dm = d(4piy3/3)  ..........1                 (volume = 4pir3/3)


gravitational field due to this on its surface (Ey)= Gdm/y2


                                                            =4piGdy/3


now force on particle at a distance y is Fy = Eym


                                                         =4piGdmy/3


        F = ma 


so accleration of particle (ay)= 4pidGy/3


this is the required accleration


 

6 years ago
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