MH CET Elasticity Sample Paper 2019 - You can download here Maharashtra Common Entrance Test (MH CET) Gravitation Sample Papers for admission to MBBS, BDS, BAMS, BHMS, BUMS, BPTh, BOTh, BASLP, BP&O & BSc. Nursing courses for academic session 2019-20. All these question papers will help you for better exam preparation.
Government of Maharashtra conducted a Common Entrance Test (MH-CET 2015) for admission to MBBS, BDS, BAMS, BHMS, BUMS, BPTh, BOTh, BASLP, BP&O & BSc. Nursing Courses. The examination was conducted on Thursday, 07th May, 2019.
If the work done in stretching a wire by 1 mm is 2 J, the work necessary for stretching another wire of the same material but with double the radius of cross-section and half the length by 1 mm is in joules (EAMCET 91)
(a) 16 (b) 8
(c) 4 (d)
Answer: (a)
To compress a liquid by 10% of its original volume, the pressure required is 2 × 105N/m2. the bulk modulus of the liquid is
(a) 2 × 104 N/m2 (b) 2 × 105 N/m2
(c) 2 × 107 N/m2 (d) 2 × 106 N/m2
Answer: (d)
The modulus of elasticity is dimensionally equivalent to
(a) Strain (b) Stress
(c) Surface tension (d) Poisson’s ratio
Answer: (b)
If by applying a force, the shape of a body is changed, then the corresponding stress is known as
(a) Tensile stress (b) Bulk stress
(c) Shearing stress (d) Compressive stress
Answer: (c)
A solid sphere of radius R made of a material of bulk modulus K is completely immersed in a liquid in a cylindrical container. A mass less piston of area A floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere, is given by
(IIT 88)
(a) (b)
(c) (d)
Answer: (c)
A body of mass 500 g is fastened to one end of a steel wire of length 2 m and area of cross-section 2 mm2. if the breaking stress of he wire is 1.25 × 107 N/m2, then the maximum angular velocity with which the body can be rotated in a horizontal circle is
(a) 2 rad/s (b) 3 rad/s
(c) 4 rad/s (d) 5 rad/s
Answer: (d)
A copper wire and a steel wire having the same cross-section area are fastened end to end stretched by a force F. the lengths of copper and steel wires are in the ratio of 2:1 and their moduli of elasticity are in the ratio of 1:2. What is the ratio of their extensions?
(a) 1:2 (b) 4:1
(c) 2:1 (d) 1:4
Answer: (b)
The bulk modulus of a gas is 6 × 103 N/m2. the additional pressure needed to reduce the volume of the gas by 10% is
(a) 300 N/m2 (b) 400 N/m2
(c) 1000 N/m2 (d) 600 N/m2
Answer: (d)
According to Horke’s law of elasticity, within elastic limits, if the stress is increased, the ratio of stress to strain
(a) Increases (b) Decreases
(c) Becomes zero (d) Remains constant
Answer: (d)
Two wires have the same material and length, but their masses are in the ration of 4:3. If they are stretched by the same force, their elongations will be in the ratio of
(a) 2:3 (b) 3:4
(c) 4:3 (d) 9:16
Answer: (b)
The symbols, Y, K and h represent the Young’s modulus, bulk modulus and rigidity modulus of the material of a body. If h = 3K, then
(a) Y = 2.5K (b) Y = 3.5K
(c) Y = 4.5K (d)
Answer: (c)
A wire suspended vertically from one of its ends is stretched by attaching a weight of 100N to its lower end. What is the elastic potential energy stored in the wire, if the weight stretches the wire by 1.5 mm?
(a) 5 × 10-2 J (b) 10-3 J
(c) 2.5 × 10-3 J (d) 7.5 × 10-2 J
Answer: (d)
One end of a steel wire of area of cross-section 3 mm2 is attached to the ceiling of an elevator moving up with an acceleration of 2.2 m/s2. if a load of 8 kg is attached at its free end, then the stress developed in the wire will be
(a) 8 × 106 N/m2 (b) 16 × 106 N/m2
(c) 20 × 106 N/m2 (d) 32 × 106 N/m2
Answer: (d)
A body of mass 1 kg is attached to one end of a wire and rotated in horizontal circle of diameter 40 cm with a constant speed of 2 m/s. what is the area of cross-section of the wire if the stress developed in the wire is 5 × 106 N/m2?
(a) 2 mm2 (b) 3 mm2
(c) 4 mm2 (d) 5 mm2
Answer: (c)
A rubber cord of cross sectional area 1 mm2 and unstretched length 10 cm is stretched to 12 cm and then released to project a stone of mass 5 gram.
If Y for rubber = 5 × 108N/m2, then the tension in the rubber cord is
(a) 25 N (b) 50 N
(c) 100 N (d) 200 N
Answer: (c)
The following four wires of length L and the radius r are made of same material. Which of these will have the largest extension when the same tension is applied. (CPMT 90)
(a) L = 50 cm, r = 0.25 mm
(b) L = 100 cm, r = 0.5 mm
(c) L = 200 cm, r = 1 mm
(d) L = 3000 cm, r = 1.5 mm
Answer: (d)
In an experiment to determine the Young’s modulus of the material of a wire, the length of the wire and the suspended mass are doubled. Then the Young’s modulus of the wire
(a) Becomes double (b) Becomes four time
(c) Remain unchanged(d) Becomes half
Answer: (c)
Which one of he following does not affect the elasticity of a substance?
(a) Hammering
(b) Adding impurity in the substance
(c) Changing the dimensions
(d) Change of temperature
Answer: (c)
The compressibility of water is 4 × 10-5 per unit atmospheric pressure. 100cc of water is subjected to a change of pressure of 100 atmospheres. The change in the volume will be (MPT MP 90)
(a) 4 × 10-5 cc (b) 4 × 10-2 cc
(c) 4 × 10-4 cc (d) 4 × 10-1 cc
Answer: (d)
The bulk modulus of a fluid is inversely proportional to the
(a) Change in pressure(b) Volume of the fluid
(c) Density of the fluid (d) Change in its volume
Answer: (d)
Under the action of load F1, the length of a string is L1 and that under F2, is L2. the original length of the wire is (MHT-CET-2007)
(a) [L1F1 - L2F2] / [F1 + F2]
(b) [L1F2 - L2F1] / [F1 - F2]
(c) [L1F2 - L2F1] / [F2 - F1]
(d) [L1F2 - L2F1] / [F1 + F2]
Answer: (c)
Shearing strain is given by
(a) Deforming force
(b) Shape of shear
(c) Angle of shear
(d) Change in volume of the body
Answer: (c)
If a wire having initial diameter of 2 mm produced the longitudinal strain of 0.1%, then the final diameter of wire will be (s = 0.5) (MHT-CET-2005)
(a) 2.002 mm (b) 1.998 mm
(c) 1.999 mm (d) 2.001 mm
Answer: (c)
The force constant of a wire is K and that of another wire of the same material is 2K. when both the wires are stretched by the same force, then the work done is
(a) W2 = W1 (b) W2 = 0.5 W1
(c) W2 = 2W1 (d) W2 = 2W12
Answer: (b)
Two wires A and B are of the same length. The diameters are in the ratio 1:2 and the Young’s modulus are in ratio 2:1. if they are pulled by the same force, then their elongations will be in ratio
(MHT-CET-2004)
(a) 4:1 (b) 1:4
(c) 1:2 (d) 2:1
Answer: (d)
An iron bar of length ‘l’ m and cross section ‘A’ m2 is pulled by a force of ‘F’ Newton from both ends so as to produce and elongation in meters. Which of the following statement statements is correct (NCERT 76)
(a) Elongation is inversely proportional to length l
(b) Elongation is directly proportional to cross section A
(c) Elongation is inversely proportional to A
(d) Elongation is directly proportional to Young’s modulus
Answer: (c)
The ratio of the change in dimension at right angles to the applied force to the initial dimension is known as
(a) Young’s modulus (b) Poisson’s ratio
(c) Lateral strain (d) Shearing strain
Answer: (c)
Which of the following is dimensionless quantity?
(MHT-CET-1999)
(a) Stress (b) Young’s modulus
(c) Strain (d) Pressure
Answer: (c)
The energy per unit volume of a stretched wire is,
(MNR 81, NCERT 81)
(a) (b) Stress ´ strain
(c) Load ´ extension (d)
Answer: (d)
Four wires whose lengths and diameter respectively are given below are made of the same material. Which of these will have the largest extension when same tension is applied? (MHT-CET 2001)
(a) 0.50 m, 0.50 mm (b) 1.00 mm, 1.00 mm
(c) 2.00 m, 2.00 mm (d) 4.00 m, 4.00 mm
Answer: (a)
When a mass of 3.14 kg is attached to free end of a suspended wire of diameter 2 mm then stress produce in it is (g = 9.8 m/s2) (MHTCET 2006)
(a) 9.8 × 10-6 N/m2 (b) 10-6 N/m2
(c) 18 × 106 N/m2 (d) 9.8 × 106 N/m2
Answer: (d)
In a wire, when the elongation is 2 cm, the energy stored is E. if the wire is stretched by 10 cm, then the energy stored in the wire will be
(a) E (b) 5E
(c) 25E (d)
Answer: (c)
A metallic rod breaks when the strain produced in the rod is 0.2%. What should be the are of cross section to support a load of 104N, if the Young’s modulus of the material of the rod is 7 × 109 N/m2?
(a) 7.15 × 10-4 m2 (b) 3.15 × 10-5 m2
(c) 2 × 103 m2 (d) 12 × 10-4 m2
Answer: (a)
Which of the following relation is true (C.P.M.T. 84)
(a) 3Y = K (1 - s) (b) s = 0.5 Y h
(c) (d) s = (6 K + h) Y.
Answer: (b)
The dimensional formula for modulus of rigidity is (MNR 84)
(a) [M1 L-1 T2] (b) [M1 L-1 T-2]
(c) [M1 L1 T2] (d) [M-1 L-2 T2]
Answer: (b)
Out of the following materials, whose elasticity is independent of temperature?
(a) Copper (b) Invar steel
(c) Brass (d) Silver
Answer: (b)
What is the energy stored per unit volume in a copper wire, which produces longitudinal strain of 0.1%.
[Y = 1.1 × 1011 N/m2]
(a) 11 × 103 J/m3 (b) 5.5 × 103 J/m3
(c) 11 × 104 J/m3 (d) 5.5 × 104 J/m3
Answer: (d)
The magnitude of the force developed by raising the temperature from 0 °C to 100 °C of the iron bar of 1.00 m long and 1 cm2 cross-section when it is held so that it is not permitted to expand or bend is (a = 10-5/°C and Y = 1011 N/m2) (CPMT 91)
(a) 103 N (b) 104 N
(c) 105 (d) 109 N
Answer: (b)
Theoretical value of Poisson’s ratio lies between
(AIIMS 85)
(a) - 1 to 0.5 (b) -1 to -2
(c) 0.5 to 1 (d) None
Answer: (a)
There is no change in the volume of a wire due to change in its length on stretching. The poison’s ration of the material of the wire is (MHT-CET 2004)
(a) + .50 (b) - 0.50
(c) 0.25 (d) - 0.25
Answer: (b)
Strain has
(a) No units but only dimensions
(b) Only units but no dimensions
(c) No units, no dimensions but a constant value
(d) No units, no dimensions but a variable value
Answer: (d)
The change in the shape of a regular boy is due to (Andhra medical 80)
(a) Bulk strain (b) Shearing strain
(c) Longitudinal strain (d) Volume strain
Answer: (b)
When impurities are added to an elastic substance, its elasticity
(a) Increases
(b) Decreases
(c) Becomes zero
(d) May increase or decrease
Answer: (d)
To compress a liquid by 10% of its original volume, the pressure required is 2 ´ 105atmosphere. The bulk modulus of liquid is (MHT-CET-2004)
(a) 2 ´ 105 N/m2 (b) 2 ´ 107 N/m2
(c) 2 ´ 104 N/m2 (d) 2 ´ 106 N/m2
Answer: (d)
The upper end of wire 1 m long and 2 mm radius is clamped. The lower end is twisted through an angle of 45°. The angle of shear is (NCERT 90 PMT MP 90, 96)
(a) 0.09° (b) 0.9°
(c) 9° (d) 90°
Answer: (a)
Longitudinal strain is possible in the case of
(a) Gases (b) Liquid
(c) Only solids (d) Only gases & liquids
Answer: (c)
Which of the following is correct statement from the given graph plotted, for four wires of same material and same thickness (MHT-CET-2001)
(a) A has largest length
(b) D has largest length
(c) C has largest length
(d) B has largest length
Answer: (a)
When the intermolecular distance increases due to tensile force, then
(a) There is no force between the molecules
(b) There is a repulsive force between the molecules
(c) There is an attractive force between the molecules
(d) There is zero resultant force between the molecules
Answer: (c)
If a material is heated and annealed, then its elasticity is
(a) Increased (b) Decreased
(c) Not change (d) Becomes zero
Answer: (b)
The radii of two wires of a same material are in ratio 2:1. if the wires are stretched by equal forces, the stress produced in them will be (MHT CET 2005)
(a) 2:1 (b) 4:1
(c) 1:4 (d) 1:2
Answer: (c)
The bulk modulus of elasticity of the material of a metal sphere is 2 × 1011 N/m2. in open air, atmospheric pressure of 105 N/m2 acts on it. What is the fractional decrease in its volume if it kept in a vacuum chamber?
(a) 2 × 10-7 (b) 3 × 10-7
(c) 4 × 10-7 (d) 5 × 10-7
Answer: (d)
The Poisson’s ratio of the material of a wire is 0.25. if it is stretched by a force F, the longitudinal strain produced in the wire is 5 × 10-4. What is the percentage increase in its volume?
(a) 0.2 (b) 2 × 102
(c) Zero (d) 1.25 × 10-6
Answer: (c)
The bulk modulus of a gas is 6 ´ 103 N/m2. the additional pressure needed to reduce the volume of the liquid by 10% is (MHT-CET-2007)
(a) 1200 N/m2 (b) 600 N/m2
(c) 2400 N/m2 (d) 1600 N/m2
Answer: (b)
Hooke’s law essentially defines (PMTMP 88)
(a) Stress (b) Strain
(c) Yield point (d) Elastic limit
Answer: (d)
The Young’s modulus for a plastic body is
(a) One (b) Zero
(c) Infinity (d) Less then one
Answer: (b)
Four steel wires of the following dimensions are stretched with the same force. Which one of them will have the largest extension?
(a) L1 = 50 cm, r1 = 0.5 mm
(b) L2 = 100 cm, r2 = 1 mm
(c) L3 = 200 cm, r3 = 2 mm
(d) L4 = 300 cm, r4 = 3 mm
Answer: (a)
MH CET Elasticity Sample Paper 2019
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