Two planets have masses M and 16 M and t...

Two planets have masses M and 16 M and their radii are a and 2a, respectively. The separation between the centres of the planets is 10a. A body of mass m is fired trom the surface of the larger planet towards the samller planet along the line joining their centres. For the body to be able to reach at the surface of smaller planet, the minimum firing speed needed is :

`4sqrt((GM)/a)`

`sqrt((GM^2)/(ma))`

`3/2 sqrt((5GM)/a)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

JEE MAINS
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise Chemistry|1 Videos

Similar Questions

Explore conceptually related problems

The distance of two planets from the sun are 10^(13) and 10^(12) m respectively. The ratio of the periods of the planet is

Two planets of masses M and M/2 have radii R and R/2 respectively. If ratio of escape velocities from their surfaces (v_1)/(v_2) is n/4 , then find n :

Distance between the centres of two stars is 10a . The masses of these stars are M and 16 M and their radii a and 2a respectively. A body of mass m is fired straight from the surface of the larger star towards the surface of the smaller star. What should be its minimum initial speed to reach the surface of the smaller star? Obtain the expression in terms of G , M and a.

Two planets of mass M and 16M of radius a and 2a respectively, are at distance 10a . Find minimum speed of a particle of mass m at surface of smaller planet so that it can reached from smaller planet to larger planet.

The distance of the two planets from the Sun are 10^(13)m and 10^(12) m , respectively. Find the ratio of time periods of the two planets.

If the angular velocity of a planet about its own axis is halved, the distance of geostationary satellite of this planet from the centre of the centre of the planet will become

The mass and diameter of a planet have twice the value of the corresponding parameters of earth. Acceleration due to gravity on the surface of the planet is

The torque on a planet about the centre of sun is

Mass and radius of a planet are two times the value of earth. What is the value of escape velocity from the surface of this planet?

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS 2020-PHYSICS

Two identical electric point dipoles have dipole moments vec(P1) = p h...
Text Solution
|
For a plane electromagnetic wave, the magnetic field at a point x and ...
Text Solution
|
Two planets have masses M and 16 M and their radii are a and 2a, respe...
Text Solution
|
A particle is moving with velocity vecv=K(y hat i+x hat j), where K is...
Text Solution
|
Particle A of mass m1 moving with velocity (sqrt3hati+hatj)ms^(-1) co...
Text Solution
|
When a car is at rest, its driver sees rain deops falling on it vertic...
Text Solution
|
MP denotes the mass of a proton and Mn that of a neutron. A given nucl...
Text Solution
|
A ciruit to verify Ohm's law uses ammeter and voltmeter in series or p...
Text Solution
|
Consider the force F on a charge 'q' due to a uniformlycharged spheric...
Text Solution
|
A student measuring the diameter of a pencil of circular cross-section...
Text Solution
|
A double convex lens has power P and same radii of curvature R of both...
Text Solution
|
A square loop of side 2a, and carrying current I, is kept in XZ plane ...
Text Solution
|
A fluid is flowing through a horizontal pipe of verying cross - sectio...
Text Solution
|
When a particle of mass m is attached to a vertical spring of spring c...
Text Solution
|
In a dilute gas at pressure P and temperature T, the mean time between...
Text Solution
|
Assuming the nitrogen molecule is moving with r.m.s. velocity at 400K,...
Text Solution
|
The linear mass density of a thin rod AB of length L varies from A to ...
Text Solution
|
The output characteristics of a transistor is shown in the figure. Whe...
Text Solution
|
Find distance of centre of mass of solid hemisphere of radius 8cm from...
Text Solution
|
An engine operates by taking a monatomic ideal gas through the cycle ...
Text Solution
|