The earth is assumed to be a sphere of raduis `R`. A plateform is arranged at a height `R` from the surface of the `fv_(e)`, where `v_(e)` is its escape velocity form the surface of the earth. The value of `f` isA. `1//2`B. `sqrt(2)`C. `1//sqrt(2)`D. `1//3`

The earth is assumed to be a sphere of raduis `R`. A plateform is arra

1.	The earth is assumed to be a sphere of raduis `R`. A plateform is arranged at a height `R` from the surface of the `fv_(e)`, where `v_(e)` is its escape velocity form the surface of the earth. The value of `f` isA. `1//2`B. `sqrt(2)`C. `1//sqrt(2)`D. `1//3`
Answer» Correct Answer - C As `f upsilon` is the escape velocity of the body from the platform, then using the law of conservation of total energy or `-(GM m)/((R + R)) + (1)/(2)m(f upsilon)^(2) = 0` or `f upsilon = sqrt((GM)/(R )) = sqrt((g R^(2))/(R )) = sqrt(g R)`. The value of escape velocity from the surface of earth `upsilon = sqrt(2g R)` or `sqrt(g R) = upsilon//sqrt(2)` `:. f upsilon = upsilon//sqrt(2)` or `f = 1//sqrt(2)`

Discussion

No Comment Found

Related InterviewSolutions

Three equal masses of `m kg` each are fixed at the vertices of an equilateral triangle `ABC`. a. What is the force acting on a mass `2m` placed at the centroid `G` of the triangle? b. What is the force if the mass at the vertex `A` is doubled? Take `AG=BG=CG=1m`
If the distance between the earth and the sun were half its present value, the number of days in a year would have beenA. `64.5`B. `70.24`C. `182.5`D. `730`
Assertion: For the plantes orbiting around the sun, angular speed, linear speed, K.E. changes with time, but angular momentum remains constant. Reason: No torque is acting on the rotating planet. So its angular momentum is constant.A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.B. If both Assertion and Reason are true but Reason is not a correct explanation of the Asseration.C. If Assertion is true but the Reason is false.D. If both Assertion and Reason are false.
A satellite revolves in an orbit close to the surface of a planet of mean density `5.51 xx 10^(3) kg m^(-3)`. Calculate the time period of satellite. Given `G = 6.67 xx 10^(-11) Nm^(2) kg^(-2)`.
A particle is projected vertivally upwards from the surface of earth `(radius R_e)` with a kinetic energy equal to half of the minimum value needed for it to escape. The height to which it rises above the surface of earth is ……
A body is projected vertically upwards from the surface of the Earth so as to reach a height equal to the radius of the Earth. Neglecting resistance due to it, calculate the initial speed which should be imparted to the body. Mass of Earth `= 5.98 xx 10^(24) kg`, Radius of Earth `= 6400 km`, `G = 6.67 xx 10^(-11) Nm^(2) kg^(-2)`.
A body is projected vertically upwards from the surface of a planet of radius `R` with a velocity equal to hall the escape velocity for that planet. The maximum height attained by the body isA. `R//2`B. `R//3`C. `R//5`D. `R//4`
Escape velocity of a body `1 kg` mass on a planet is `100 ms^(-1)`. Gravitational potential energy of the body at that planet isA. `-5000 J`B. `-1000 J`C. `-2400 J`D. `5000 J`
The ratio of escape velocity at earth `(v_(e))` to the escape velocity at a planet `(v_(y))` whose radius and density are twiceA. `1 : 2`B. `1 : 2sqrt(2)`C. `1 : 4`D. `1 : sqrt(2)`
The earth is assumed to be a sphere of raduis `R`. A plateform is arranged at a height `R` from the surface of the `fv_(e)`, where `v_(e)` is its escape velocity form the surface of the earth. The value of `f` isA. `1//2`B. `sqrt(2)`C. `1//sqrt(2)`D. `1//3`

The earth is assumed to be a sphere of raduis `R`. A plateform is arranged at a height `R` from the surface of the `fv_(e)`, where `v_(e)` is its escape velocity form the surface of the earth. The value of `f` isA. `1//2`B. `sqrt(2)`C. `1//sqrt(2)`D. `1//3`

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment