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question_answer1) Find the force of gravitational attraction between two neutrons whose centres are 10-12 m apart. Given\[G=6.67\times {{10}^{-11}}N{{m}^{2}}k{{g}^{2}}\], mass of neutron\[=1.67\times {{10}^{-27}}kg\]. (a) \[1.8\times {{10}^{-42}}N\] (b) \[1.8\times {{10}^{-29}}N\] (c) \[1.8\times {{10}^{-40}}N\] (d) \[1.07\times {{10}^{-13}}N\]
question_answer2) Acceleration due to gravity at earth's surface is\[\text{1}0\text{ m}{{\text{s}}^{-\text{2}}}\]. The value of acceleration due to gravity at the surface of a planet of mass\[{}^{1}/{}_{5}\]th and radius\[{}^{1}/{}_{2}\]of the earth is (a) \[\text{4}\,\text{m}{{\text{s}}^{-\text{2}}}\] (b) \[~\text{6}\,\text{m}{{\text{s}}^{-\text{2}}}\] (c) \[\text{8 m}{{\text{s}}^{-\text{2}}}\] (d) \[\text{12 m}{{\text{s}}^{-\text{2}}}\]
question_answer3) g at height\[h=\frac{R}{10}\]from the surface of the earth is (Here R is the radius of the earth) (a) \[\frac{121g}{100}\] (b) \[\frac{100g}{121}\] (c) \[\frac{100g}{121}\] (d) \[\frac{121}{100g}\]
question_answer4) A body is falling under gravity. What is the ratio of distance covered in 1st, 2nd and 3rd seconds of its motion?
question_answer5) A body falling freely from rest has acquired a velocity v after it falls through a distance h. What is the distance it has to fall further for its velocity to become double?
question_answer6) A body, dropped from a height h at time t = 0, reaches the ground at time\[{{t}_{0}}.\] At what time will it reach a height\[\frac{h}{2}\]? (g is assumed to be constant)
question_answer7) A body is dropped from a building of height 1500 m. After two seconds, another body is dropped from the same point. How long after the first body falls, will the two bodies be 120 m apart? [\[\text{g}=\text{1}0\text{ m}/{{\text{s}}^{\text{2}}}\]]
question_answer8) A ball is thrown vertically upwards. It attains a speed of 10 m/s when it reaches half of its maximum height. What is the maximum height the ball rises? [\[\text{g}=\text{1}0\text{m}/{{\text{s}}^{\text{2}}}\]]
question_answer9) If a body is projected vertically up, its velocity decreases to half of its initial velocity at a height 'h' above the ground. What is the maximum height reached by it?
question_answer10) A stone thrown vertically upwards attains a maximum height of 45 m. In what time does the velocity of stone become half the velocity of its throw? (\[\text{g}=\text{1}0\,\text{m}{{\text{s}}^{-\text{2}}}\])
question_answer11) A stone is thrown vertically upwards with a velocity of 34.3 m/s from the top of a cliff 147 m high. In what time does it reach the foot of the cliff?
question_answer12) A body dropped from an aeroplane moving upwards with a uniform velocity of 19.6 m/s reaches the ground after 12 seconds. What is the height of the aeroplane when the body is dropped from it?
question_answer13) The parachute got opened 12 seconds after a person had jumped out of an aeroplane. If the parachute descends with a retardation of\[\text{2 m}/{{\text{s}}^{\text{2}}}\]and if he falls out of the plane when it is at a height of 4220 m, what is the velocity with which he reaches the ground? [\[\text{g}=\text{1}0\text{ m}/{{\text{s}}^{\text{2}}}\]]
question_answer14) An object thrown vertically upwards from the top of a tower of height 39.2 m reaches the ground in 4 s. Find the velocity with which it is thrown upwards.
question_answer15) A wooden block is dropped from the top of a cliff 100 m high. Simultaneously, a bullet of mass 100 gm is fired from the foot of the cliff upwards with a velocity of \[\text{1}00\text{ m}{{\text{s}}^{-\text{1}}}\]. At what time will the bullet and block meet each other?
question_answer16) A stone is allowed to fall from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. Find when and where the two stones meet \[(\text{g}=\text{9}.\text{8 m}{{\text{s}}^{\text{-2}}}).\]
question_answer17) A person sitting on the top of a tall building is dropping balls at regular intervals of one second. What are the positions of the 3rd, 4th and 5th balls respectively, when the 6th ball is being dropped?
question_answer18) Two planets from the sun are\[\text{1}{{0}^{\text{13}}}\]and \[\text{1}{{0}^{12}}\text{m}\] respectively. Find the ratio of the time periods of the two planets.
question_answer19) What would be the duration of the year if the distance between the earth and the sun gets doubled? Take the present duration of one year = 365 days.
question_answer20) If the earth be one half its present distance from the sun, how many days will the present one year on the surface of earth will change?
question_answer21) A Saturn year is 29.5 times the earth year. How far is the Saturn from the sun if the earth is \[\text{1}.\text{5}\times \text{1}{{0}^{\text{8}}}\text{ km}\] away from the sun?
question_answer22) In an imaginary planetary system, the central star has the same mass as our sun, but is much brighter so that only planet twice the distance between the earth and sun can support life. What would be the average life span of a human on that planet in terms of its natural life? The average life span of a human on the earth may be taken to be 70 years.
question_answer23) The value of g on the earths surface is\[\text{98}0\text{ cm}/\text{se}{{\text{c}}^{\text{2}}}\].Its value at a height of 64 km from the earths surface is (a) \[\text{96}0.\text{4}0\,\text{cm}/\text{se}{{\text{c}}^{\text{2}}}\] (b) \[\text{984}.\text{9}0\,\text{cm}/\text{se}{{\text{c}}^{\text{2}}}\] (c) \[\text{982}.\text{45cm}/\text{se}{{\text{c}}^{\text{2}}}\] (d) \[\text{977}.\text{55}\,\text{cm}/\text{se}{{\text{c}}^{\text{2}}}\]
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