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State whether the following statement is true or false: The potential energy of a body of mass $1\ kg$ kept at a height of $1\ m$ is $1\ J$.
Given statement: "The potential energy of a body of mass $1\ kg$ kept at a height of $1\ m$ is $1\ J$."
Here, mass $m=1\ kg$
Height $h=1\ m$
Gravitational acceleration $g=9.8\ m/s^2$ [On earth]
Therefore, the potential energy of the body $U=mgh$
$=1\ kg\times9.8\ m/s^2\times 1\ m$
$=9.8\ J$
Therefore, the given statement is false.
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