May, 2022Flame Institute - Part 30

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The mass of the earth is 81 times that of the moon and the radius of the earth is 3.5 times that of the moon. The ratio of the escape velocity on the surface of earth to that on the surface of moon will be

(a) 0.2 (b) 2.57 (c) 4.81 (d) 0.39 Answer: c (2)

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142. A solid ball of mass m and radius r rolls without slipping along the track shown in the fig. The radius of the circular part of the track is R. The ball starts rolling down the track from rest from a height of 8R from the ground level. When the ball reaches the point P then its velocity will be

(a) √(gR) (b) √(5gR) (c) √(10gR) (d) √(3gR) Ans. c (21)

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Wash and wear clothes are manufactured using

a. Nylon fibres b. Cotton mixed with nylon c. Terylene fibres d. Wool fibres Ans. c (40)

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Escape velocity on a planet is ve . If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes

(a) 4 ve (b) 2 ve (c) ve …

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Terylene is used for making

a. Silks b. Fabrics c. Seat belts d. All of these Ans. d (7)

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Which polymer is used for making magnetic recording tapes

a. Dacron b. Acrilan c. Glytal d. Bakelite Ans. d (8)

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Which one of the following is used to make ‘non-stick’ cookware

a. PVC b. polystyrene c. Polyethylene terephthalate d. Polyetrafloureothylene Ans. d (19)

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The escape velocity of an object from the earth depends upon the mass of the earth (M), its mean density (p), its radius (R) and the gravitational constant (G). Thus the formula for escape velocity is

Answer: a (5)

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The sterile gauze (or cotton) used in medicine is obtained by oxidising cellulose with

a. Nitrogen b. KMnO 4 c. Nitrogen dixide d. Potassium chlorate Ans. c (44)

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A missile is launched with a velocity less than the escape velocity. The sum of its kinetic and potential energy is

(a) Positive (b) Negative (c) Zero (d) May be positive or negative depending upon its initial velocity Answer: b (8)

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The homopolymer formed from 4 – hydroxy- butanoic acid is

Ans. d (5)

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The correct neme of the following polymer is

a. Polyisobutana b. Polyert-butylene c. Polyisobutylene d. Polyisoprene Ans.c (10)

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138. The acceleration of a body rolling down on an inclined plane does not depend upon

(a) Angle of inclination of the plane (b) Length of plane (c) Acceleration due to gravity of earth (d) Radius of gyration of body Ans. b (5)

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If g is the acceleration due to gravity at the earth’s surface and r is the radius of the earth, the escape velocity for the body to escape out of earth’s gravitational field is

(a) gr (b) √2gr (c) g/r (d) r/g Answer: b (4)

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Which of the following compounds is a constituent of he polymer

a. Methylamine b. N- Methyl urea c. Formaldehyde d. Ammonia Ans.c (7)

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136. A disc of radius R is rolling down an inclined plane whose angle of inclination is θ , Its acceleration would be

(a) 5/7 g sinθ (b) 2/3 g sinθ (c) 1/2 g sinθ (d) 3/5 g sinθ Ans. b (16)

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The structure of Nylon -6 is

Ans. c (18)

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135. A cylinder of mass M and radius R rolls on an inclined plane. The gain in kinetic energy is

(a) (1/2)Mv2 (b) (1/2) (c) (3/4)Mv2 (d) (3/4)Iω2 Ans. c (15)

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The escape velocity for a rocket from earth is 11.2 km/sec. Its value on a planet where acceleration due to gravity is double that on the earth and diameter of the planet is twice that of earth will be in km/sec

(a) 11.2 (b) 5.6 (c) 22.4 (d) 53.6 Answer: c (6)

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Which of the following polymer can be formed by using the following monomer unit

a. Nylon- 6, 6 b. Nylon- 2- nylon – 6 c. Melamine polymer d. Nylon – 6 Ans. d (14)

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The escape velocity from the earth is about 11 km/second. The escape velocity from a planet having twice the radius and the same mean density as the earth, is

(a) 22 km/sec (b) 11 km/s (c) 5.5 km/sec (d) 15.5 km/sec Answer: a (6)

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134. A solid cylinder 30 cm in diameter at the top of an inclined plane 2.0 m high is released and rolls down the incline without loss of energy due to friction. Its linear speed at the bottom is

(a) 5.29 m/sec (b) 4.1 × 103 m/sec (c) 51 m/sec (d) 51 cm/sec Ans. a (62)

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The moment of inertia of a solid cylinder about its axis is I. It is allowed to roll down an incline without slipping. If its angular velocity at the bottom be ω , then K.E. of the cylinder will be

(a) Iω2 (b) (3/2) Iω2 (c) 2Iω2 (d) (1/2)Iω2 Ans. b (46)

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Which polymer is used in the manufacture of paints and lacquers

a. Bakelite b. Glyptal c. Polypropene d. Poly vinyl chloride Ans. b (7)

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140. A ring is rolling on an inclined plane. The ratio of the linear and rotational kinetic energies will be

(a) 2 : 1 (b) 1 : 2 (c) 1 : 1 (d) 4 : 1 Ans. c (12)

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For the moon to cease to remain the earth’s satellite, its orbital velocity has to increase by a factor of

(a) 2 (b) √ 2 (c) 1/√2 (d) √3 Answer: b (7)

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139. A ring, a solid sphere, a disc and a solid cylinder of same radii roll down an inclined plane, which would reach the bottom in the last

(a) Ring (b) Disc (c) Solid sphere (d) Solid cylinder Ans. a (42)

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The escape velocity of a particle of mass m varies as

(a) m2 (b) m (c) m0 (d) m-1 Answer: c (7)

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The escape velocity of a projectile from the earth is approximately

(a) 11.2 m/sec (b) 112 km/sec (c) 11.2 km/sec (d) 11200 km/sec Answer: c (9)

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137. A solid cylinder (i) rolls down (ii) slides down an inclined plane. The ratio of the accelerations in these conditions is

(a) 3 : 2 (b) 2 : 3 (c) √3:√2 (d) √2:√3 Ans. b (13)

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133. From an inclined plane a sphere, a disc, a ring and a shell are rolled without slipping. The order of their reaching at the base will be

(a) Ring, shell, disc, sphere (b) Shell, sphere, disc, ring (c) Sphere, disc, shell, ring (d) Ring, sphere, disc, shell Ans.c (16)

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The correct match between Column -I and Column – II is

Column I Column II A. High density polythene (i) Peroxide catalyst B. Polyacrylonitrile …

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131. A solid sphere, a solid cylinder, a disc and a ring are rolling down an inclined plane. Which of these bodies will reach the bottom simultaneously

(a) Solid sphere and solid cylinder (b) Solid cylinder and disc (c) Disc and ring (d) Solid sphere and ring Ans. b (29)

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The escape velocity of a sphere of mass m from earth having mass M and radius R is given by

Answer: a (14)

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129. A body starts rolling down an inclined plane of length L and height h. This body reaches the bottom of the plane in time t. The relation between L and t is

(a) t∝L (b) t∝1/L (c) t∝L2 (d) t∝1/L2 Ans. a (27)

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Which of the following is a condensation polymer

a. Buna – S b. Nylon 6, 6 c. Teflon d. Neoprene Ans. b (5)

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The two monomers for the synthesis of Nylon 6,6 are :

a. HOOC(CH 2 )4 COOH, and H2 N (CH 2 ) 6 NH2 b. HOOC(CH 2 )6 COOH, and H2 N (CH 2 )4 NH2 c. HOOC(CH 2 )6 COOH, and H2 N (CH 2 )6 NH2 d. HOOC(CH 2 )4 COOH, and H2 N (CH 2 )4 NH2 Ans. a (18)

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128. A solid cylinder of radius R and mass M, rolls down on inclined plane without slipping and reaches the bottom with a speed v. The speed would be less than v if we use

(a) A cylinder of same mass but of smaller radius (b) A cylinder of same mass but of larger radius (c) A cylinder of same radius but of smaller mass (d) A hollow cylinder of same mass and same radius …

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Which of the following polymer form net like structure

a. Polythene b. Butyl rubber c. Polystyrene d. Melamine polymer Ans. d (7)

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Gas escapes from the surface of a planet because it acquires an escape velocity. The escape velocity will depend on which of the following factors : I. Mass of the planet II. Mass of the particle escaping III. Temperature of the planet IV. Radius of the planet Select the correct answer from the codes given below :

(a) I and II (b) II and IV (c) I and IV (d) I, III and IV Answer: c (4)

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