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2022

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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 (17)

The structure of Nylon -6 is

Ans. c (22)

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 (18)

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...

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...

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 (8)

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 (78)

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 (57)

Which polymer is used in the manufacture of paints and lacquers

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

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....

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: ...

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 (51)

The escape velocity of a particle of mass m varies as

(a) m2                    (b)  m (c)  m0           ...

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 (10)

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...

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...

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

Column I                                     ...

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)          ...

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

Answer: a (14)

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 (39)

Which of the following is a condensation polymer

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

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,...

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...

Which of the following polymer form net like structure

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

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                 ...

Which of the following statements is not true about low density polyethene

a. Tough b. Hard c. Poor conductor of electricity d. Highly branched structure Ans. d (9)

A particle falls towards earth from infinity. It’s velocity on reaching the earth would be

(a)  Infinity                               (b) √2 gR (c)   2√gR                         ...

The common acid used in the manufacture of rayon and plastics is

a. Methanoic acid b. Ethanoic acid c. Propanoic acid d. Butanoic acid Ans. b (12)

Given the polymers (i)Nylon 66; (ii) Buna-S; (iii) Polythene, arrange these in increasing order of their inter- molecular forces (lower to higher)

a.  (i) > (ii) > (iii) b. (ii) > (iii) > (i) c. (ii) <(iii) <(i) d. (iii) <(i) <(ii)...

Acetate rayon is prepared from

a. Acetic acid b. Glycerol c. Starch d. Cellulose Ans. d (10)

A body of mass m kg. starts falling from a point  2R above the Earth’s surface. Its kinetic energy when it has fallen to a point ‘R’ above the Earth’s surface [R-Radius of Earth, M-Mass of Earth, G-Gravitational Constant]           

(a)   1/4 (GMm /R)                (b) 1/6 ( (GMm /R) (c)    2/3 (GMm...

123. The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h, from rest without sliding, is

(a)  √(10/7 gh) (b)  √(gh) (c)   √(6/5 gh) (d) √(4/3 gh) Ans. a (8)

A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is

(a)  R/3                                     (b)  R/2 (c)   R/4                                     (d)  R/5 Answer: a (6)

Which of the following polymer has ester linkage

a. Nylon – 66 b. Nylon c. Terylene d. SBR Ans. c (8)

122. A hollow cylinder and a solid cylinder having the same mass and same diameter are released from rest simultaneously from the top of an inclined plane. Which will reach the bottom first

(a)   The solid cylinder (b)  The hollow cylinder (c)   Both will reach the bottom together (d)  The greater density Ans....

Which of the following is not polyamide

a. Nylon – 66 b.Protein c. Glyptal d. Nylon -6 Ans. c (10)

In some region, the gravitational field is zero. The gravitational potential in this region

(a)  Must be variable               (b)  Must be constant (c)   Cannot be zero                  (d)  Must be zero Answer: b (11)

Trans- form of polyisoprene is

a. Guttapercha b. Hydrochloride rubber c. Buna – N d. Synthetic rubber Ans. a (7)

126. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The speed of its centre of mass when it reaches the bottom is

(a)    √(2gh) (b)    √(4/3 gh) (c)   √(3/4 gh) (d)   √(4g/h) Ans. b (4)

Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to

(a)    1/R                                  (b) ...

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