If gravitational potential energy of two point masses infinitely away is taken to be zero then gravi

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7.Gravitation

easy

If the gravitational potential energy of two point masses infinitely away is taken to be zero then gravitational potential energy of a galaxy is ...............

Zero

Positive

Negative

Can have any value

Solution

(c)

A galaxy is a bounded system, for a bounded system or closed system like planet-sun, satellite Earth, electronnucleus etc. total energy and the potential energy both are negative.

Standard 11

Physics

Match the column $-I$ with column $-II$ For a satellite in circular orbit,

Column $-I$ Column $-II$

$(A)$ Kinetic energy $(p)$ $ – \frac{{G{M_E}m}}{{2r}}$

$(B)$ Potential energy $(q)$ $\sqrt {\frac{{G{M_E}}}{r}} $

$(C)$ Total energy $(r)$ $ – \frac{{G{M_E}m}}{{r}}$

$(D)$ Orbital energy $(s)$ $ \frac{{G{M_E}m}}{{2r}}$

(where $M_E$ is the mass of the earth, $m$ is mass of the satellite and $r$ is the radius of the orbit)

hard

In order to shift a body of mass $m$ from a circular orbit of radius $3R$ to a higher radius $5R$ around the earth, the work done is

medium

A satellite of mass $m$, initially at rest on the earth, is launched into a circular orbit at a height equal to the radius of the earth. The minimum energy required is

hard

A body of mass ($2 {M}$) splits into four masses $\{{m}, {M}-{m}, {m}, {M}-{m}\}$, which are rearranged to form a square as shown in the figure. The ratio of $\frac{{M}}{{m}}$ for which, the gravitational potential energy of the system becomes maximum is ${x}: 1$. The value of $x$ is ….. .

hard

(JEE MAIN-2021)

A stationary object is released from a point $P$ at a distance $3 R$ from the centre of the moon which has radius $R$ and mass $M$. Which of the following gives the speed of the object on hitting the moon?

medium

Column $-I$	Column $-II$
$(A)$ Kinetic energy	$(p)$ $ – \frac{{G{M_E}m}}{{2r}}$
$(B)$ Potential energy	$(q)$ $\sqrt {\frac{{G{M_E}}}{r}} $
$(C)$ Total energy	$(r)$ $ – \frac{{G{M_E}m}}{{r}}$
$(D)$ Orbital energy	$(s)$ $ \frac{{G{M_E}m}}{{2r}}$

If the gravitational potential energy of two point masses infinitely away is taken to be zero then gravitational potential energy of a galaxy is ...............

Solution

Similar Questions

In order to shift a body of mass $m$ from a circular orbit of radius $3R$ to a higher radius $5R$ around the earth, the work done is

A satellite of mass $m$, initially at rest on the earth, is launched into a circular orbit at a height equal to the radius of the earth. The minimum energy required is

A body of mass ($2 {M}$) splits into four masses $\{{m}, {M}-{m}, {m}, {M}-{m}\}$, which are rearranged to form a square as shown in the figure. The ratio of $\frac{{M}}{{m}}$ for which, the gravitational potential energy of the system becomes maximum is ${x}: 1$. The value of $x$ is ….. .

A stationary object is released from a point $P$ at a distance $3 R$ from the centre of the moon which has radius $R$ and mass $M$. Which of the following gives the speed of the object on hitting the moon?

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