A planet is moving in an elliptical orbit around sun. If T, V, E and L stand respectively for its ki

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7.Gravitation

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A planet is moving in an elliptical orbit around the sun. If $T, V, E$ and $L$ stand respectively for its kinetic energy, gravitational potential energy, total energy and magnitude of angular momentum about the centre of force, which of the following is correct ?

$T$ is conserved

$V$ is always positive

$L$ is conserved but direction of vector $L$ changes continuously

$E$ is always negative

(AIPMT-1990)

Solution

In a circular or elliptical orbital motion torque is always acting parallel to displacement or velocity. So, angular momentum is conserved. In attractive field, potential energy is negative. Kinetic energy changes as velocity increase when distance is less. But if the motion is in a plane, the direction of $L$ does not change

Standard 11

Physics

The fig. shows the motion of a planet around the un in an elliptical orbit with sun at the focus. The shaded areas can be assumed to be equal. If $t_1$ and $t_2$ represent the time taken for the planet to move from $A$ to $B$ and $C$ to $D$ respectively, then

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(AIEEE-2003)

Which of the following astronomer first proposed that sun is static and earth rounds sun

easy

A planet is moving in an elliptical orbit around the sun. If $T, V, E$ and $L$ stand respectively for its kinetic energy, gravitational potential energy, total energy and magnitude of angular momentum about the centre of force, which of the following is correct ?

Solution

Similar Questions

The fig. shows the motion of a planet around the un in an elliptical orbit with sun at the focus. The shaded areas can be assumed to be equal. If $t_1$ and $t_2$ represent the time taken for the planet to move from $A$ to $B$ and $C$ to $D$ respectively, then

Earth is revolving around the sun if the distance of the Earth from the Sun is reduced to $\frac{1}{4}^{th}$ of the present distance then the present day length reduced by

An earth satellite $S$ has an orbit radius which is $4$ times that of a communication satellite $C$. The period of revolution of $S$ is …….. $days$

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Which of the following astronomer first proposed that sun is static and earth rounds sun

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