1. A
   0.050
2. B
   0.010
3. C
   0.015
4. D
   0.150

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1. A
   1
2. B
   $\sqrt{2}$
3. C
   2
4. D
   4

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1. A
   The sand exerts no reaction force.
2. B
   The sand reduces the change in momentum.
3. C
   The sand increases the impact time.
4. D
   The sand increases the momentum.

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1. A
   The image will accelerate towards the centre of curvature.
2. B
   The image will accelerate towards the focus.
3. C
   The image will accelerate towards the pole of the mirror.
4. D
   The image will move with a constant speed towards the focus.

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1. A
   The force is conservative.
2. B
   The net work equals the change in kinetic energy.
3. C
   The force is constant.
4. D
   The velocity must always increase.

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1. A
   The semimajor axis of the planet's orbit is same as that of the Earth.
2. B
   The semimajor axis of the planet's orbit is twice as compared to that of the Earth.
3. C
   The semimajor axis of the planet's orbit is thrice as compared to that of the Earth.
4. D
   The semimajor axis of the planet's orbit is four times as compared to that of the Earth.

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1. A
   It attracts lightning directly.
2. B
   The sharp tip reduces the local electric field.
3. C
   It enhances field and promotes continuous corona discharge.
4. D
   It repels charged clouds.

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1. A
   The image will remain unchanged.
2. B
   The image will appear laterally shifted.
3. C
   The image will appear 1.5 times brighter.
4. D
   The image will appear 1.5 times darker.

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1. A
   It is a plane mirror.
2. B
   It is a convex mirror.
3. C
   It is a concave mirror of small focal length.
4. D
   It is a concave mirror of large focal length.

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1. A
   0
2. B
   60 N
3. C
   588 N
4. D
   708 N

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1. A
   both electric and magnetic fields
2. B
   electric field only
3. C
   magnetic field only
4. D
   infrared part of the electromagnetic spectrum

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1. A
   $L_1 = 3L$ and $A_1 = 2A$
2. B
   $L_1 = L$ and $A_1 = A$
3. C
   $L_1 = 2L$ and $A_1 = 3A$
4. D
   $L_1 = 2L$ and $A_1 = 2A$

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1. A
   Diagram (a)
   
2. B
   Diagram (b)
   
3. C
   Diagram (c)
   
4. D
   Diagram (d)
   

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1. A
   $\pi/6$
2. B
   $\pi/3$
3. C
   $\pi/4$
4. D
   $5\pi/12$

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1. A
   0
2. B
   15 m/s
3. C
   30 m/s
4. D
   40 m/s

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1. A
   $x=14$ and $y=32$
2. B
   $x=16$ and $y=30$
3. C
   $x=18$ and $y=32$
4. D
   $x=18$ and $y=30$

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1. A
   Coal
2. B
   Graphite
3. C
   Diamond
4. D
   Fullerene

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1. A
   I only
2. B
   II and III only
3. C
   I, II and III
4. D
   I, II and IV

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1. A
   I only
2. B
   II only
3. C
   Both I and II
4. D
   Neither I nor II

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1. A
   I, II and III only
2. B
   I, II and IV only
3. C
   III and IV only
4. D
   I, II, III and IV

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1. A
   Bronsted-Lowry concept
2. B
   Lewis acid-base concept
3. C
   Arrhenius concept
4. D
   Conjugate acid-base concept

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1. A
   calcium phosphate with sodium hydroxide
2. B
   calcium phosphate with sulphuric acid
3. C
   calcium phosphate with hydrogen chloride
4. D
   calcium phosphate with nitric acid

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1. A
   Law of multiple proportions
2. B
   Law of conservation of mass
3. C
   Law of reciprocal proportions
4. D
   Law of constant proportions

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1. A
   I and II only
2. B
   I, II and III
3. C
   IV only
4. D
   I, II and IV

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1. A
   One
2. B
   Two
3. C
   Three
4. D
   All the four

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