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June 2022

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7. Water is filled in a cylindrical container to a height of 3m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1.

The square of the speed of the liquid coming out from the orifice is (g = 10 m/s2) (a) 50...

14. A vessel of area of cross-section A has liquid to a height H. There is a hole at the bottom of vessel having area of cross-section a.

The time taken to decrease the level from H1 to H2 will be (a)   (A/a)(2/g)[√H1– √H2]        ...

13. A block of ice floats on a liquid of density 1.2in a beaker then level of liquid when ice completely melt

(a)  Remains same                           (b)  Rises (c)   Lowers                           ...

12. A uniform rod of density ρ is placed in a wide tank containing a liquid of density

ρ0 (ρ0 > ρ) . The depth of liquid in the tank is half the length of the rod. The...

11. Two communicating vessels contain mercury. The diameter of one vessel is n times larger than the diameter of the other. A column of water of height h is poured into the left vessel. The mercury level will rise in the right-hand vessel   (s = relative density of mercury and  ρ= density of water) by

(a)  (n2h)/[(n+1)2s]                                     ...

10. There are two identical small holes of area of cross-section a on the opposite sides of a tank containing a liquid of density ρ . The difference in height between the holes is h. Tank is resting on a smooth horizontal surface. Horizontal force which will has to be applied on the tank to keep it in equilibrium is

(a)  ghρa (b) (2gh)/(ρa) (c)  2ρagh (d) (ρgh)/a Answer-c (20)

9. A cylinder containing water up to a height of 25 cm has a hole of cross-section

1/4 cm2  in its bottom. It is counterpoised in a balance. What is the initial change in the balancing weight...

8. A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water the quantities of water flowing out per second from both the holes are the same. Then R is equal to

(a)   2πL                                     ...

6. A liquid is kept in a cylindrical vessel which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is r and angular velocity of rotation is ω , then the difference in the heights of the liquid at the centre of the vessel and the edge is

(a)  (rω)/(2g)                        (b)  (r2 ω2 )/(2g) (c)  √2grω   ...

5. A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The upthrust on the body due to the liquid is

(a)  Zero (b)  Equal to the weight of the liquid displaced (c)   Equal to the weight of the body in...

18. Assertion : Machine parts are jammed in winter. Reason : The viscosity of lubricant used in machine parts increase at low temperature.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

13. Assertion : For a floating body to be in stable equilibrium, its centre of buoyancy must be located above the centre of gravity. Reason : The torque produced by the weight of the body and the upthrust will restore body back to its normal position, after the body is disturbed.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

11. Assertion : The size of the needle of a syninge controls flow rate better than the thumb pressure exerted by a doctor while administering an injection. Reason : Flow rate is independent of pressure exerted by the thumb of the doctor.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

9. Assertion : The velocity of flow of a liquid is smaller when pressure is larger and viceversa. Reason : According to Bernoulli’s theorem, for the stream line flow of an ideal liquid, the total energy per unit mass remains constant.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

4. A vessel contains oil

(density = 0.8 gm/cm3) over mercury (density = 13.6 gm/cm3). A homogeneous sphere floats with half of its volume immersed...

3. A wooden block, with a coin placed on its top, floats in water as shown in fig. the distance l and h are shown there. After some time the coin falls into the water. Then

(a) l decreases and h increases (b)  l increases and h decreases (c)   Both l and h increase (d)  Both...

2. A homogeneous solid cylinder of length L (L<H/2). Cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure

P0 . Then density D of solid is given by (a)  5d/4 (b) 4d/5 (c)   d (d)   d/5 Answer-a (7)

1. A U-tube in which the cross-sectional area of the limb on the left is one quarter, the limb on the right contains mercury

(density 13.6 g/cm3). The level of mercury in the narrow limb is at a distance of 36 cm from the...

28. Assertion :   Bernoulli’s theorem holds for incompressible, non-viscous fluids.

Reason        :   The factor v2/2g is called velocity head. (a)       If both assertion and reason are true and the...

27. Assertion : Cars and aeroplanes are streamlined. Reason : This is done to reduce the backward drag due to atmosphere.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

26. Assertion : When two boats sails parallel in the same direction and close to each other, they are pulled towards each other. Reason : The viscous drag on a spherical body moving with speed v is proportional to v.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

20. Assertion : A rain drop after falling through some height attains a constant velocity. Reason : At constant velocity, the viscous drag is just equal to its weight.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

17. Assertion : Sudden fall of pressure at a place indicates strom. Reason : Air flows from higher pressure to lower pressure.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

16. Assertion : Aeroplanes are made to run on the runway before take off, so that they acquire the necessary lift. Reason : According to Bernoulli’s theorem, as velocity increases pressure decreases and viceversa.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

14. Assertion : Water flows faster than honey. Reason : The coefficient of viscosity of water is less than honey.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

12. Assertion : A fluid flowing out of a small hole in a vessel apply a backward thrust on the vessel. Reason : According to equation of continuity, the product of area and velocity remain constant.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

10. Assertion : The shape of an automobile is so designed that its front resembles the stream line pattern of the fluid through which it moves. Reason : The resistance offered by the fluid is maximum.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

8. Assertion : The velocity of fall of a man jumping with a parachute first increases and then becomes constant. Reason : The constant velocity of fall of man is called terminal velocity.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

6. Assertion : A piece of ice floats in water, the level of water remains unchanged when the ice melts completely. Reason : According to Archimede’s principle, the loss in weight of the body in the liquid is equal to the weight of the liquid displaced by the immersed part of the body.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

5. Assertion : A man sitting in a boat which is floating on a pond. If the man drinks some water from the pond, the level of the water in the pond decreases. Reason : According to Archimede’s principle the weight displaced by body is equal to the weight of the body.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

4. Assertion : To float, a body must displace liquid whose weight is greater than the actual weight of the body. Reason : The body will experiences no net downward force, in the case of floating.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

3. Assertion : Hydrostatic pressure is a vector quantity. Reason : Pressure is force divided by area, and force is a vector quantity.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

2. Assertion : The blood pressure in humans is greater at the feet than at the brain. Reason : Pressure of liquid at any point is proportional to height, density of liquid and acceleration due to gravity.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

1. Assertion : Pascal law is the working principle of a hydraulic lift. Reason : Pressure is equal to thrust per area.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

5. From amongst the following curves, which one shows the variation of the velocity v with time t for a small sized spherical body falling vertically in a long column of a viscous liquid

Answer-d (145)

66. An incompressible fluid flows steadily through a cylindrical pipe which has radius 2r at point A and radius r at B further along the flow direction. If the velocity at point A is v, its velocity at point B is

(a)  2v                                       (b)  v (c)   v/2                                     (d)  4v Answer-d (6)

25. Assertion : Terminal velocity is same as the critical velocity. Reason : The constant velocity of fall of a body through a viscous fluid is called terminal velocity.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...

24. Assertion : To empty an oil tank, two holes are made. Reason : Oil will come out two holes so it will emptied faster.

(a)       If both assertion and reason are true and the reason is the correct explanation of the assertion. (b)       If...
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