1. A
   Only (1) and (4)
2. B
   Only (1) and (2)
3. C
   Only (3) and (4)
4. D
   Only (2) and (3)

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1. A
   $\angle A$, $\angle i$ and $\angle r$
2. B
   $\angle A$, $\angle i$, $\angle r$ and $\angle D$
3. C
   $\angle A$, $\angle i$ and $\angle D$
4. D
   $\angle A$ and $\angle i$

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1. A
   $\angle A$, $\angle i$ and $\angle e$
2. B
   $\angle A$, $\angle r$ and $\angle D$
3. C
   $\angle i$, $\angle A$ and $\angle D$
4. D
   $\angle A$ and $\angle e$

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1. A
   Red and Blue
2. B
   Orange and Green
3. C
   Red and Violet
4. D
   Violet and Red

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1. A
   In (b), the incident rays are converged after refraction, so lens is concave.
2. B
   In (a), the incident rays are diverged after coming out of the box, so mirror is convex.
3. C
   In (a), the incident rays are diverged after refractions, so lens is concave.
4. D
   In (b), the incident rays are converged after coming out of the box, so mirror is convex.

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1. A
   Diagram A — rays converge to a point exactly on the screen at the focal plane (sharp point image).
2. B
   None of these
3. C
   Diagram C — screen placed before the focal point, rays not yet converged.
4. D
   Diagram D — screen placed beyond the focal point, rays already crossed.

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1. A
   $|m_{LO}| < |m_{MN}|$
2. B
   $|m_{LO}| < 1$ and $|m_{MN}| < 1$
3. C
   Both $|m_{LO}| < 1$ and $|m_{MN}| < 1$ and $|m_{LO}| < |m_{MN}|$
4. D
   $|m_{LO}| > |m_{MN}|$

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1. A
   28
2. B
   30
3. C
   32
4. D
   34

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1. A
   More than 16 metres
2. B
   16 m
3. C
   8 m
4. D
   4 m

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1. A
   Appear to be near P always
2. B
   None of these
3. C
   Appear to be at the centre of PS
4. D
   Appear to be near S

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1. A
   30 cm
2. B
   53.3 cm
3. C
   25 cm
4. D
   10 cm

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1. A
   A
2. B
   D
3. C
   B
4. D
   C

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1. A
   Student A
2. B
   All of these
3. C
   Student B
4. D
   Student C

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1. A
   4 g/cm³
2. B
   3 g/cm³
3. C
   2 g/cm³
4. D
   5 g/cm³

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1. A
   1 g
2. B
   2 g
3. C
   0.5 g
4. D
   5 g

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1. A
   Minimum in [A]
2. B
   Maximum in [A]
3. C
   Maximum in [B]
4. D
   Same in all

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1. A
   18 cm³
2. B
   24 cm³
3. C
   20 cm³
4. D
   22 cm³

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1. A
   5 gwt
2. B
   – 5 gwt
3. C
   2 gwt
4. D
   – 2 gwt

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1. A
   Net force on X is F.
2. B
   Net force on Y is equal to zero.
3. C
   Force applied by Y on Z is equal to net force on X.
4. D
   Force applied by X on Y is $\frac{F}{3}$.

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1. A
   Zero
2. B
   2.5 N
3. C
   3.0 N
4. D
   1.5 N

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1. A
   Graph A (an instantaneous vertical spike, otherwise zero)
2. B
   Graph B (a straight line of constant positive slope — velocity increasing)
3. C
   Graph C (a straight line of constant negative slope — velocity decreasing)
4. D
   Graph D (a horizontal line at constant velocity)

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1. A
   After 20 s, P is behind Q
2. B
   Car Q is moving with a constant acceleration from 0 to 60 seconds
3. C
   Acceleration of the car Q is not zero at any point during the whole journey
4. D
   The velocity of car P is increasing at a decreasing rate

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1. A
   Data is insufficient
2. B
   $v_1 = v_2$
3. C
   $v_1 > v_2$
4. D
   $v_1 < v_2$

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1. A
   Speed rises to a peak at $t_1$, then decreases gradually and levels off to a constant (terminal) speed until $t_2$
2. B
   Speed starts at a maximum at t = 0 and decreases steadily to zero at $t_2$
3. C
   Speed starts at a maximum, stays high until $t_1$, then drops sharply to a low constant value until $t_2$
4. D
   Speed rises linearly to a peak at $t_1$, then drops almost instantly to a low constant value until $t_2$

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1. A
   Only (i) is correct
2. B
   All (i), (ii) and (iii) are correct
3. C
   Only (ii) is correct
4. D
   Both (i) and (iii) are correct

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