Gravitational potential difference between surface of a planet an… - Vidyadip

MCQ

Gravitational potential difference between surface of a planet and a point situated at a height of $20\,m$ above its surface is $2\,joule/kg$. If gravitational field is uniform, then the work done in taking a $5\,kg$ body of height $4\,meter$ above surface will be ........ $J$

✓
$2$
B
$20$
C
$40$
D
$10$

✓

Answer

Correct option: A.

$2$

a
The potential difference for a distance of $20 m$ is $2\, joule/kg.$

Now work done $=m \times$ potential difference.

Thus work done for a distance of $4 m$ for a mass $5 k g, W=\frac{4}{20} \times 2 \times 5$

$\Longrightarrow W=2 J$

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