Question

6If the radii of circular paths of two particles of same masses are in the ratio of 1:2, then in order to have
a constant centripetal force, their velocities should be in the ratio of​

Answer 1

Answer:

Radii of 1

st

particle =r

1

Mass of 1

st

particle m

1

Radii of 2

nd

particle =r

2

Mass of 2

nd

particle m

2

Also, m

1

=m

2

r

2

r

1

=

2

1

⟹r

2

=2r

1

Centripetal Force, F=

r

mv

2

If, F

1

=F

2

⟹

r

1

m

1

v

1

2

=

r

2

m

2

v

2

2

⟹

r

1

v

1

2

=

2r

1

v

2

2

⟹

v

2

2

v

1

2

=

2

1

⟹

v

2

v

1

=

2

1

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