1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Physics
Escape Speed
R is a radius...
Question
R is a radius of a planet and
ρ
is its density. The escape velocity on its surface will be
A
R
2
√
4
π
G
ρ
/
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
R
√
4
π
G
ρ
/
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
R
2
√
8
π
G
ρ
/
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
R
√
8
π
G
ρ
/
3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
C
R
√
8
π
G
ρ
/
3
Escape velocity
v
=
√
2
G
M
R
Volume of the planet
V
=
4
π
3
R
3
Thus mass of the planet
M
=
ρ
V
=
4
π
3
R
3
ρ
v
=
⎷
2
G
×
4
3
π
R
3
ρ
R
=
R
√
8
3
π
G
ρ
Suggest Corrections
0
Similar questions
Q.
Planet
A
has mass
M
and radius
R
, planet
B
has mass
M
/
3
and radius
3
R
. If escape velocity from planet
A
is
V
e
, then escape velocity from planet
B
will be
Q.
The mass density of a planet of radius
R
varies with the distance
r
from its centre as
ρ
(
r
)
=
ρ
0
(
1
−
r
2
R
2
)
.
Then the gravitational field is maximum at:
Q.
What is the escape velocity from the surface of the earth of radius
R
and density
ρ
?
Q.
Two spherical planets
P
and
Q
have the same uniform density
ρ
, masses
M
p
and
M
Q
, and surface areas
A
and
4
A
, respectively. A spherical planet
R
also has uniform density
ρ
and its mass is
(
M
p
+
M
Q
)
. The escape velocities from the planets
P
,
Q
and
R
, are
V
p
,
V
Q
and
V
R
, respectively. Then
Q.
The escape velocity from the surface of the earth of radius R and density
ρ
is given by
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Escape Velocity
PHYSICS
Watch in App
Explore more
Escape Speed
Standard XII Physics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app