the weight of a particle at the centre of the earth is ..... .1) infinite 2)zero 3) same as that at other place 4) greater than at the poles
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Answer: 2. Zero
Explanation: zero newtons
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option (2) The weight of a particle at the centre of the earth is zero.
we know, acceleration due to gravity varies with height from the surface of earth. it is represented as g = g0/(1 + h/r)²
we go down the earth, acceleration due to gravity becomes, g = g(1 - h/r)
when particle is located at the centre of the earth , then, depth of particle from the surface of the earth, h = r.
now, g = g0(1 - r/r) = 0
we also know, weight of particle = mass of particle × acceleration due to gravity
= mg = m × 0 = 0
hence, weight of particle at the centre of the eart is zero.
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