1
Q1.
Q2.
Q3.
Q4. Page Q5. Q6. Q7. Q8.
Q9.
Two cylindrical steel columns of same length, and mass, but one is solid while the other is hollow. The decrease in then lengths when subjected to the same load (a) will be more in the hollow column (b) will be more in the solid column (c) will be the same (d) cannot be stated definitely A nylon rope 2 cm in diameter has a breaking strength of 1500 kg. A similar rope with 1 cm diameter has a breaking strength of (a) 750 kg (b) 375 kg (c) 300 kg (d) 500 kg A cable is shortened to half its original length. The maximum load it can support without exceeding its elastic limit will (a) remain the same (b) 1/2 the original value (c) twice the original value (d) cannot be stated definitely Which one of the following solid have covalent bonds (a) sodium chloride (b) ice (c) silicon (d) iron Which one of the following type of bondings is directional (a) covalent (b) metallic (c) van der wall (d) hydrogen The ratio of lateral strain to longitudinal strain is known as (a) Hook's law (b) modulus of rigidity (c) Poisson's ratio (d) shear modulus The theoretical value of Poisson's ratio lies between (a) -1 and + 1/2 (b) -1 and 0 (c) - 1/2 and + 1/2 (d) -1/2 and 1 Four wires are made of same material. Which one will have the largest extension when same tension is applied (a) length = 50 cm, diameter = 0.5 mm (b) length = 100 cm, diameter = 1 mm (c) length = 200 cm, diameter = 2 mm (d) length = 300 cm, diameter = 3 mm The graph shown in obtained by taking observation of time period of a spring balance by placing different masses in the pan. The intercept on the Y axis indicates
T2
M
Q10. Q11.
Q12.
Q13.
(a) the system obeys Hook's law (b) the system does not obey Hook's law (c) the mass of the pan has been neglected (d) amplitude of oscillations were too large A ball made of rubber is taken 100 m deep in water. If bulk modulus is 1 109 N/m2, its volume will change by (a) 1% (b) 0.1% (c) 10% (d) 2% Two ropes made of the same material. They have the same length but the ratio of their diameter is 1 : 2 when they are hung from the ceiling, their increase in length would be (a) 1 : 4 (b) 4 : 1 (c) there would be no increase in length (d) the same a metal bar has length L, area of cross-section A, young's modulus Y. It is placed between rigid walls with distance L between the walls. When it is heated through tC it exerts a force given by ( = co-efficient of linear expansion) (a) Y LT (b) Y L2t (c) Y A t (d) Y t/A A wire of length L and radius r is fired at one end and a force F is applied to the other end produces an extension . The extension produced in another wire of the same material of length 2 , and radius 2r by a force 2F is (a) /2 (b) 2 (c) 4 (d)
Q14. Given for a wire Y = 2 1011 N/m2, length = 1m area of cross section 1mm2. It is stretched by a load of 10 kg (g = 10 m/s2). The work done by the load is (a) 1000 J (b) 500 J (c) 5 J (d) 50 J Q15. A perfectly rigid body is one which has (a) y = 0 (b) y = (c) y = 1 (d) none of these Q16. When a metal is heated to a high temperature its shear modulus will (a) remain constant (b) decrease (c) increase (d) cannot be stated definitely
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Q17. Shear modulus of a liquid is (a) zero (b) nearly zero (c) infinity (d) approximately equal to bulk modulus Q18. Adiabatic elasticity of a gas is equal to (a) r (density) (b) r (c) r (final pressure) (d) r (cp) Q19. Water can rise 1.5 cm in a capillary tube. If the tube is immersed in water such that its height is 1 cm from the water surface. The water will (a) overflow from the top (b) not rise (c) rise up to 1 cm, and will not overflow (d) cannot be stated definitely Q20. The shape of a liquid surface is concave. The resultant force on a molecule at the surface acts (a) towards the interior of the liquid (b) outwards (c) along the surface (d) cannot be stated definitely Q21. If grease is applied on a glass surface, the angle of contact between the surface and water will (a) increase (b) decrease (c) be zero (d) be 90 Q22. A soap bubble is blown up from a ? of 4 cm to 5 cm. The amount of work done is (surface tension of the liquid = 2.5 10-2 Nm-1) (a) 0.3 J (b) 3 J (c) 3 10-5 J (d) 3 10-3 J Q23. Which one of the following parameters will not affect the height of water column in a capillary (a) atmospheric pressure (b) radius of the capillary (c) temperature of water (d) value of g Q24. The surface tension of a liquid is 5 N/m. Surface energy for a film of area 0.01 m2 is (a) .2 J (b) .1 J (c) .5 J (d) 1 J Q25. Reservoir A has surface area of 8 km2 and depth of 12 m. Reservoir B has a surface area of 16 km2 and depth of 8 m. The pressure at the base of dam for reservoir air (a) 2/3 of B (b) 3/2 of B (c) same as that of B (d) twice of B Q26. A block of wood is placed on the ground. The atmospheric pressure on the vertical surfaces are (a) same as that of the top surface (b) zero (c) slightly les than the top surface (d) negligible Q27. In the arrangement shown in the fig. above, the pressure inside the box is (atmospheric pressure = 76 cm of necessary)
5cm 20cm mercury
(a) 82 cm of mercury (b) 76 cm of mercury (c) 71 cm of mercury (d) cannot be said definitely Q28. For the system shown above, the cylinder on the left has cross-sectional area 800 of cm2. The piston on the right has cross-sectional area 25 cm2, and negligible weight. The system is in equilibrium. The force F is (take g = 10 m/s2, density of liquid 800 kg/m3)
F g 600 kg H1 8m H2
(a) 100 N (b) 90 N (c) 75 N (d) 60 N Q29. A narrow tube is sealed into a tank as shown in the fig. above. The tank and tube is filled with necessary on the top wall of the tank is
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30 cm 20 cm
Q30.
Q31.
Q32.
Q33.
Q34. Q35.
(a) (76 + 30) cm (b) 76 cm (c) (76 + 10) cm (d) (76 - 20) cm A cube of wood floating in water supports a 200 g mass resting on the centre of its top face. When the mass is removed, the cube rises 2 cm. Determine the volume of the cube. (a) 1000 cm3 (b) 2000 cm3 (c) 1 m3 (d) 100 cm3 3 A glass of water has 10 cm ice cube floating in it. The glass is filled to the brim with cold water. By the time ice cube has completely melted how much water will have flowed out of the glass (a) 10 cm3 (b) nil (c) depends on the temperature of water (d) 9 cm3 Water flows steadily through a horizontal pipe of varying cross section. At one place the pressure is 130 kPa, and velocity is 6 m/s. The pressure at another place where velocity 9 m/s, is (a) 90 kPa (b) 107.5 kPa (c) 100 kPa (d) 110 kPa The diameter of a pipe at the point 1 is 6 cm, while at point 2 it is 2 cm. The velocity of water at point 1 is 2 m/s. The velocity at the point 2 is (a) 6 m/s (b) 9 m/s (c) 90 m/s (d) 18 m/s For the question 33, pressure at 1 is 180 kPa p2 is (a) 160 kPa (b) 200 kPa (c) 100 kPa (d) 20 kPa The velocity of water emerging from an orifice in a tank is given by the formula (a) v = 2
p
(b) v =
2p
(c) v =
p
(d) v =
p
Q36. Bernoulli's theorem holds for (a) non viscous fluid (b) compressible fluid (c) non viscous and incompressible fluid (d) viscous fluid Q37. A water tank is on a roof of an apartment house. If a tap is opened on the ground floor 20 m below water level in the tank, with what velocity will water emerge from the tap (g = 10 m/s2, p = 1000 Kg/m3) (a) 210 m/s (b) 10 m/s (c) 40m/s (d) 20 m/s Q38. The Reynolds number is given by
NR =
vD
Q39. Q40.
Q41. Q42.
Q43.
where the D is (a) density of the fluid (b) diameter of the pipe (c) viscosity of the fluid (d) dimensionless constant Turbulent flow in pipes occurs when Reynolds number exceeds (a) 2000 (b) 10 (c) 1000 (d) 10,000 A sphere and a cube of same material and same volume are kept at a depth of 100 m in water. Which one of the following statement is true abut the strain produced (a) strain produced in the cube will be more (b) strain produced in sphere will be more (c) strain in two bodies will be the same (d) cannot be stated definitely Which one of the following is not a unit of pressure (a) torr (b) barr (c) pascal (d) barn The bodies when completely immersed in water have the same force of buoyancy. Then (a) they have equal density (b) they have equal weight (c) they have equal volume (d) they have equal mass An incompressible liquid is flowing through pipes as shown in the fig.
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10 cm/s 2.5 cm V 2.5 cm 5 cm /s
1 cm
Q44.
Q45.
Q46.
Q47. Q48.
The velocity V in the narrower pipe is (a) 125 cm/s (b) 12.5 cm/s (c) 1.5 cm/s (d) 15cm/s Two spheres are made of same material but their radii are in the ratio 1 : 2. The larger sphere have terminal velocity in a liquid (a) same as the smaller one (b) twice the smaller one (c) four times the smaller one (d) 1/4 times the smaller one When terminal velocity is reached (a) the sphere moves only under the force of gravity (b) the force of gravity balances the force due to buoyancy and viscous drag (c) the force of gravity exactly balances the force due to buoyancy (d) the force of buoyancy does not exist on the body A large spherical molecule of a liquid of density 1.5 103 kg/m3 has radius 2 10-8 m. Its terminal velocity when it is falling through water ( = 1 10-3 Pa. s, = 103 Kg/m3) is nearly (a) 4 10-10 m/s (b) 2 10-10 m/s (c) 8 10-12 m/s (d) 4 10-15 m/s In a vessel a hole is made at a depth of 3.2 m from the surface. The velocity of efflux will be (a) 9 m/s (b) 8 m/s (c) 7 m/s (d) 6 m/s During storm, in roofs are some times blown off because (a) high velocity wind creates high pressure on the top of the roof (b) high velocity wind creates low pressure on the top of the roof (c) of the Pascal's law (d) none of the above
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Answers
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. (c) (b): cross sectional area decrease by 1/4. (a) (c) (a) (c) (a) (a) (c) (b) (d) (c) (d) (c) (b) (b) (b) (c) (c) (b) (a) (c) (a) (a) (b) (a) (c) (b) (c) (a): 0.2 g = area of cross-section 0.2 1000 g, (b) (b) (d): V2 = V1
A = 0.01 m2 L = .1 m
r A1 = V1 1 r A2 2
2
34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47.
48.
(d) (b) (c) (a) (b) (a) (c): Pressure on two bodies is the same (d) (c) (b) (c) (b) (a) (b): the formula v =
(b)
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2gh
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QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439