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question_answer1) A mass M is broken into two parts of masses m and M - m. How are m and (M - m) related, so that force of gravitational attraction between two parts is maximum. (a) \[\frac{M}{4},\frac{3M}{4}\] (b) \[\frac{M}{3},\frac{2M}{3}\] (c) \[\frac{M}{2},\frac{M}{2}\] (d) \[\frac{M}{10},\frac{9M}{10}\]
question_answer2) The acceleration due to gravity on moon is only one sixth that on earth. Ratio of moon radius \[({{R}_{m}})\] to earth's radius \[({{R}_{e}})\]should be: (a) \[\frac{6}{1}\]if both are assumed to have same density (b) \[\frac{1}{6}\]if both are assumed to have same density (c) \[\frac{5}{18}\]lf\[\frac{{{\rho }_{m}}}{{{p}_{e}}}\]is given as\[\frac{5}{3}\]. (d) \[\frac{9}{5}\]if\[\frac{{{\rho }_{m}}}{{{p}_{e}}}\]is given as\[\frac{3}{10}\].
question_answer3) The weight of a body decreases by\[x%\]when its is taken to a height of 0.5 km above the surface of the earth. If the same body is taken to a depth of 0.5 km from the surface of the earth, its weight would decrease by (a) \[2x%\] (b) \[x%\] (c) \[x/2%\] (d) \[{{x}^{2}}%\]
question_answer4) A body is thrown vertically up from a certain height and another thrown vertically down from the same point with the same speed at the same time. If they hit the ground with a time gap of 4s, find the speed of projection. \[(g=10\text{ }m{{s}^{-2}})\]
question_answer5) A stone released with zero velocity from the top of a tower reaches the ground in 4 second. What is the height of the tower? [Hint: \[\text{Take g}=\text{1}0\text{m}{{\text{s}}^{-\text{2}}}\]]
question_answer6) A ball is dropped from a height. It takes 0.2s to cross the last 6 m before hitting the ground. What is the height from which it dropped? Take \[\text{g}=\text{1}0\text{m}/{{\text{s}}^{\text{2}}}\]
question_answer7) A body dropped from a height 'h' with an initial speed zero, strikes the ground with, a velocity 3 km/ h. Another body of same mass dropped from the same height 'h' with an initial speed 4 km/h. Find the final velocity of second mass, with which it strikes the ground.
question_answer8) A stone is thrown vertically upwards. When the particle is at a height half of the maximum height, its speed is 10 m/s, then find maximum height attained by particle. \[(g=10\text{ }m{{s}^{-2}})\]
question_answer9) A dust packet is dropped from 9th storey of a multi-storeyed building. In the first second of its free fall another dust packet is dropped from\[{{\text{7}}^{\text{th}}}\] storey 15m below the 9th storey. If both packets reach the ground at same time, then find height of building.
question_answer10) A ball is thrown vertically upwards. Which of the following graphs represents the speed (v) - time (t) graph of the ball during its height of the air resistance is not ignored? (a) (b) (c) (d)
question_answer11) Statement-1: It object is taken from the surface of the earth to a altitude of\[\frac{R}{100}\] (R is radius of the earth) Then its weight increases Statement-2: Acceleration due to gravity (g) decreases with increase of height (a) Statement-1 is correct, Statement-2 is correct, Statement-2 is correct explanation of Statement-1 (b) Statement-1 is correct, Statement-2 is correct, Statement-2 is not correct explanation of Statement-1 (c) Statement-1 is correct, Statement-1 is incorrect (d) Statement-1 is incorrect. Statement-1 is correct
question_answer12) The period of revolution of an earth's satellite close to the surface of earth is 90 minutes. The period of another earth's satellite in an orbit at a distance of three times earth's radius from its surface will be
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