Gravitation Tes...

Read the assertion and reason carefully to mark the correct option out of the options given below :

A planet revolves around the sun in an elliptical orbit of eccentricity e. If T is the time period of the planet, then the time spent by the planet between the ends of the minor axis and major axis close to the sun is

Find out the correct relation for the dependance of change in acceleration due to gravity on the angle at the latitude due to rotation of earth?

At what height in km over the earth's pole the free fall acceleration decreases by one percent? (Assume the radius of the earth to be $$6400\ km$$)

Imagine a spacecraft going from the earth to the moon. How does its weight vary as it goes from the earth to the moon?

A body hanging from a massless spring stretches it by $$3$$cm on Earth's surface. At a place $$800$$km above the Earth's surface, the same body will stretch the spring by : (Radius of Earth $$=6400$$km)

A body is projected upwards with a velocity of $$4\times 11.2 km/s$$ from the surface of earth. What will be the velocity of the body when it escapes from the gravitational pull of earth?

A space vehicle approaching a planet has a speed v, when it is very far from the planet. At that moment tangent of its trajectory would miss the centre of the planet by distance R. If the planet has mass M and radius r, what is the smallest value of R in order that the resulting orbit of the space vehicle will just miss the surface of the planet?

A projectile is fired vertically upwards from the surface of earth with a velocity of $$kv_{e}$$ where $${v}_{e}$$ is the escape velocity and $$K<1$$. Neglecting air resistance, the maximum height to which it will rise, measured from the centre of the earth, is ($$R_{E}$$-radius earth)