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The ratio of the masses and radii of two...

The ratio of the masses and radii of two planets are `4:6 and 8:18`. What is the ratio of the escape speed at their surface ?

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To find the ratio of the escape speeds of two planets given their mass and radius ratios, we can follow these steps: ### Step 1: Understand the formula for escape speed The escape speed \( V \) from the surface of a planet is given by the formula: \[ V = \sqrt{\frac{2GM}{R}} \] where \( G \) is the gravitational constant, \( M \) is the mass of the planet, and \( R \) is the radius of the planet. ...
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DC PANDEY-GRAVITATION-(C) Chapter Exercises
  1. The ratio of the masses and radii of two planets are 4:6 and 8:18. Wha...

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  2. Starting from the centre of the earth having radius R, the variation o...

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  3. A satellite of mass m is orbiting the earth (of radius R) at a height ...

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  4. At what height from the surface of earth the gravitation potential and...

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  5. The ratio of escape velocity at earth (v(e)) to the escape velocity at...

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  6. Kepler's third law states that square of period revolution (T) of a pl...

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  7. The reading of a spring balance corresponds to 100 N while situated at...

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  8. The gravitational field due to an uniform solid sphere of mass M and r...

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  9. What would be the value of acceleration due to gravity at a point 5 km...

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  10. Two particles of equal mass (m) each move in a circle of radius (r) un...

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  11. What would be the escape velocity from the moon, it the mass of the mo...

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  12. Two spheres of masses 16 kg and 4 kg are separated by a distance 30 m ...

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  13. Orbital velocity of an artificial satellite does not depend upon

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  14. Gravitational potential energy of body of mass m at a height of h abov...

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  15. According to Kepler's law of planetary motion, if T represents time pe...

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  16. If mass of a body is M on the earth surface, then the mass of the same...

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  17. Two spherical bodies of masses m and 5m and radii R and 2R respectivel...

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  18. The force of gravitation is

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  19. Dependence of intensity of gravitational field (E) of earth with dista...

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  20. Keeping the mass of the earth as constant, if its radius is reduced to...

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  21. A body of mass m is raised to a height 10 R from the surface of the ea...

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