Question

The value of 'g' at moon is ${\left(\frac{1}{6}\right)}^{th}$ of that on earth. A balloon filled with hydrogen will :

• A. fall with acceleration $g$ on the moon
• B. rise with acceleration $g$ on the moon
• C. rise with acceleration $\frac{g}{6}$ on the moon
• D. fall with acceleration $\frac{g}{6}$ on the moon

Answer 1

The correct option is D fall with acceleration $\frac{g}{6}$ on the moon

Force on the balloon on moon $F=M{g}_1$ ($g_1$ be the acceleration due to gravity on the surface of moon)

Hence, acceleration of balloon$g_1=\frac{F}{M}$

Given that, $g_1=\frac{g}{6}$

Since the moon has no atmosphere, so there will not be air resistance.

Therefore it will fall down with acceleration $\frac{g}{6}$