Match Column-I with Column-II.Column-IColumn- | vedclass

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Question

$(A)$ The gravitational potential energy $(U)$ of a system of two masses $m_1$ and $m_2$ separated by a distance $r$ is given by $U = -G \frac{m_1 m_2

Vedclass · Accepted Answer

$1-b, 2-c$

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$(A)$ The gravitational potential energy $(U)$ of a system of two masses $m_1$ and $m_2$ separated by a distance $r$ is given by $U = -G \frac{m_1 m_2}{r}$. Since $G$, $m_1$, $m_2$, and $r$ are all positive, $U$ is always negative. Thus, $(1)$ matches with $(b)$.The potential energy of a system is negative if the force between the constituents is attractive. Since the gravitational force between galaxies is always attractive, their gravitational potential energy is negative. Thus, $(2)$ matches with $(c)$.Therefore, the correct matching is $(1-b, 2-c)$.

Column-$I$	Column-$II$
$(1)$ Can never be positive.	$(a)$ Escape velocity
$(2)$ Reason for negative potential energy of galaxies.	$(b)$ Gravitational potential energy
	$(c)$ The nature of force between different galaxies is attractive.

Match Column-$I$ with Column-$II$.
Column-$I$ Column-$II$
$(1)$ Can never be positive. $(a)$ Escape velocity
$(2)$ Reason for negative potential energy of galaxies. $(b)$ Gravitational potential energy
$(c)$ The nature of force between different galaxies is attractive.

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Match Column-$I$ with Column-$II$.Column-$I$Column-$II$$(1)$ Can never be positive.$(a)$ Escape velocity$(2)$ Reason for negative potential energy of galaxies.$(b)$ Gravitational potential energy$(c)$ The nature of force between different galaxies is attractive.