Question

Angular momentum of a planet of mass m moving around sun

Answer 1

Answer:

Angular momentum of a planet of mass m moving around sun

Correct option  (3)

L/2m

Explanation:

dA/dt  =  L/2m

Answer 2

Angular momentum

=

L

=L

Mass of the Planet

=

m

.

=m.

Relation between Angular momentum, mass of the planet and Areal Velocity of the Planet is given by the formula

L

=

2

m

×

Δ

A

/

Δ

t

L=2m×ΔA/Δt

Proof of this formula,

L

=

m

v

r

L=mvr

Multiplying and dividing the R.H.S. by 2.

∴

L

=

2

m

v

r

/

2

∴L=2mvr/2

∴

L

=

2

m

×

v

×

r

/

2

∴L=2m×v×r/2

∴

L

=

2

m

×

d

r

/

d

t

×

r

/

2

∴L=2m×dr/dt×r/2

∴

L

=

2

m

×

d

A

/

d

t

∴L=2m×dA/dt

∴

L

=

2

m

Δ

A

/

Δ

t

∴L=2mΔA/Δt