Question 1 :
A gun is aimed at a target in a line of its barrel. The target is released and allowed to fall under gravity at the same instant the gun is fired. The bullet will

Question 2 :
'Weight' of a body may have the following attributes.<br>I. It is the gravitational force acting on a body at the earth's surface<br>II. It is independent of the mass of the body<br>III. The body is weightless during free fall<br>IV. It is different at different places on earth's surface.<br>

Question 3 :
Mars has about $$\left(\dfrac {1}{10}\right)^{th}$$ as much mass as the Earth and its diameter is only half that of the earth. The acceleration of failing body on Mars is nearly:

Question 4 :
An empty tin container with its mouth closed has an average density equal to that of liquid. The container is taken 2 m below the surface of the liquid and Is left there. then the:

Question 5 :
If the acceleration due to gravity on the surface of the earth is $$9.8\,\,m/s^2$$, &#160;what will be the acceleration due to gravity on the surface of a planet whose mass and radius both are two times the corresponding quantities for the earth ?&#160;

Question 6 :
A body $$P$$ floats in water with half its volume immersed. Another body $$Q$$floats in a liquid of density $$\dfrac{3}{4}th$$ of the density of water with two-third of the volume immersed. Theratio of density of $$P$$ to that of $$Q$$ is

Question 7 :
A test tube of mass 'm' sinks up to mark 'X' in water and the same test tube sinks below the mark 'X' in a given liquid. Then the density of water is

Question 8 :
Archimedes' principle states that when a body is totally or partially immersed in a fluid. the up thrust is equal to:

Question 9 :
Gravitational force on the surface of the moon is only&#160;$${\frac{1}{6}}$$ as strong as gravitational force on the earth. What is the weight in Newton of a 10 kg object on the moon ?

Question 10 :
The radius of the earth is $$R$$ and acceleration due to gravity at its surface is '$$g$$'. If a body of mass '$$m$$' is sent to a height of $$R/4$$ from the earth's surface, the potential energy is:

Question 11 :
The power of a motor pump is $$2$$ kW. How much water per minute the&#160;pump can raise to a height of 10 m? (Given $$g = 10 m&#160; s^{-2}$$)<br/>

Question 12 :
A pendulum of mass $$1\ kg$$and length $$l = 1\,{\text{m}}$$ is released from rest at angle $$\theta = \,{60^ \circ }$$ . The power delivered by all the forces acting on the bob at the angle $$\theta = \,{30^ \circ }$$ will be $$\left( {g = 10\,{\text{m/}}{{\text{s}}^2}} \right)$$.

Question 13 :
On the surface of earth acceleration due to gravity&#160;is g and gravitational potential is V.<br/><table class="wysiwyg-table"><tbody><tr><td>Column-I</td><td>Column-II</td></tr><tr><td>a) At height h = R,&#160;value of g</td><td>(p) decreases by a factor 1/4</td></tr><tr><td>(b) At depth h = R/2&#160;value of g</td><td>(q) decreases by a factor 1/2</td></tr><tr><td>(c) At height h = R,&#160;of V</td><td>(r) Increases by a factor 11/8</td></tr><tr><td>(d) At depth h = R/2&#160;of V&#160;</td><td>(s) Increases by a factor 2<br/>(t) None</td></tr></tbody></table><br/>

Question 14 :
A tank on the roof of a $$20$$ m high building can&#160;hold $$10\: m^{3}$$ of water. The tank is to be filled from&#160;a pond on the ground in $$20$$ minutes. If the pump has an efficiency of $$60$$%, the input power&#160;required is

Question 15 :
Gravitational potential difference between surface of a planet and a point situated at a height of $$20m$$ above its surface is $$2 joule/kg$$. If gravitational fieldis uniform, then the work done in taking a $$5kg$$ bodyof height $$4$$ meter above surface will be :-

Question 16 :
The power of a water jet flowing through an orifice of radius 10 cm with a velocity $$\displaystyle 5\ { ms }^{ -1 }$$&#160;is :

Question 17 :
Assertion: kilowatt hour is the unit of electric power. Reason: watt hour has units of energy.

Question 18 :
A boy of mass $$40\ kg$$ runs up a flight of $$15$$ steps each $$15\ cm$$ high in $$10s$$.Find the power developed by him: Take $$g=10N$$ $$kg^{-1}$$

Question 19 :
A satellite is fired from the surface of the moon of mass $$M$$ and radius $$R$$ with speed&#160;$$\displaystyle v_{0}\:\: &#160;at\: \: 30^{\circ}$$ with the vertical The satellite reaches a maximum distance of&#160;$$\displaystyle \frac{5R}{2}$$ from the center of the moon The value of&#160;$$\displaystyle v_{0}$$ is

Question 20 :
The distance from the surface of the earth at which above and below the surface acceleration due to gravity is same will be