MEDIUM
11th West Bengal Board
IMPORTANT
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Infinite number of masses each of 1 kg, are placed along the x-axis at x=±1 m, ±2 m,±4 m, ±8 m, ±16 m,  The magnitude of the resultant gravitational potential in terms of gravitational constant G at the originx=0  is

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Important Questions on Gravitation

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11th West Bengal Board
IMPORTANT
A body is orbiting vary close to the earth's surface with kinetic energy K.E. The energy required to completely escape from it is 
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11th West Bengal Board
IMPORTANT
The escape velocity of a projectile on earth's surface is 11.2 km s-1. A body is projected out with thrice this speed. The speed of the body far away from the earth will be
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11th West Bengal Board
IMPORTANT
An asteroid of mass m is approaching earth, initially at a distance of 10 Re with speed vi. It hits the earth with a speed of vf(R and Me are radius and mass of the earth, then
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11th West Bengal Board
IMPORTANT
Two spherical bodies of mass M and 5 M and radii R and2 R¯  respectively are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body just before the collision is 
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11th West Bengal Board
IMPORTANT
A 20 cm long capillary tube is dipped into water. The water rises upto 8 cm. If entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be
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11th West Bengal Board
IMPORTANT
A geostationary satellite is revolving around the earth. To make it escape from the gravitational field of earth, its velocity must be increased ?
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11th West Bengal Board
IMPORTANT
Two satellites A and B go round a planet in circular orbits having radii 4 R and R respectively. If the speed of the satellite A is 3 V, then the speed of satellite B is
MEDIUM
11th West Bengal Board
IMPORTANT
A thin wire of length 1 and mass m is bent to form a semicircle. What is the gravitational field at the centre?