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Two bodies A ...

Question

Two bodies A and B of masses of 1 kg and 2 kg, respectively, are dropped near the earth's surface. Let the acceleration of A and B be a₁and a_2, respectively, then

$a_{1} = a_{2}$

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$a_{1} < a_{2}$

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$a_{1} > a_{2}$

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$a_{1} \neq a_{2}$

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Solution

The correct option is A
$a_{1} = a_{2}$

We know that, the acceleration due to gravity, $g = \frac{G M}{r^{2}}$ , (Here, G is the gravitational constant, r is the distance of the object from the earth, and M is the mass of the earth).
Hence, the acceleration is not dependent on the mass of the body
Therefore, the bodies of 1 kg and 2 kg will have the same acceleration.
$a_{1 =} a_{2}$
Hence, the correct option is (a).

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Two bodies A and B of masses of 1 kg and 2 kg, respectively, are dropped near the earth's surface. Let the acceleration of A and B be a1 and a2, respectively, then

Two bodies A and B of masses of 1 kg and 2 kg, respectively, are dropped near the earth's surface. Let the acceleration of A and B be a₁and a_2, respectively, then