8/12/2019 physics_3

1/5

PHYSICS

SECTION

I

Straight Objective Type

This section con tains 6 multi ple-choice qu estions. Each qu estion h as 4 choices (A), (B), (C) and (D),

out o f which Only One is correct

24. A projectile is given an initial velocity of 1 2 ji . The Cartesian equation of its path is

(g = 10 m/sec2)

(A) 2y 2 5x x (B) 2y 5x x

(C) 24y 2 5x x (D) 2y 2 25x x

25. The horizontal range is four times the maximum height attained by a projectile. The angle of

projection is

(A) 90 (B) 60

(C) 45 (D) 30

26. The speed of a projectile when it is at its greatest height is 2 / 5 times its speed at half the

maximum height the angle of projection is

(A) 30 (B) 60

(C) 45 (D) 1 3

tan

4

27. A boat man can row with speed of 10 km/h in still water. If the river flows at 5 km/h, the

direction in which the boat man should row to reach a point on the other bank directlyopposite to the point from where he started is (width of the river is 2 km)

(A) in a direction inclined at 90 to the direction of river flow(B) in a direction inclined at 60 to the direction of river flow

(C) in a direction inclined at 120 to the direction of river flow(D) Should row directly along the river flow

(E) None of the above

28. Two bullets are fired simultaneously, horizontally and with different speeds from the sameplace. Which bullet will hit the ground first ?

(A) the faster one (B) the slower one

(C) depends on their mass (D) both will reach simultaneously

29. A projectile is fired with a speed u at an angle with the horizontal. Its speed when its

direction of motion makes an angle with the horizontal is :

(A) u sec cos (B) u sec sin

(C) u cos sec (D) u sin sec

8/12/2019 physics_3

2/5

SECTION II

This section contains 4 multiple-corr ect answer(s) type questions. Each question has 4 choices (A), (B), (C)

and (D), out of which One or M ore is/are corr ect

30. Two balls are projected from the same point with the same speed at different angles 1and 2with the horizontal. Their respective times of flight are T1 and T2 they have the same

horizontal range. Which of the following is correct ?

(A) 1+ 2= 90 (B)2

1

2

1

sin

sin

T

T

(C)1

2

1 tanT

T (D)

2

2

1 tanT

T

31. In case of projectile motion if two projectile A and B are projected with same speed at angles

15 and 75 respectively to the horizontal then

(A)A B

H H (B)A B

H H

(C)A B

T T (D)A B

T T

32. A man who can swim at a speed vrelative to the water wants to cross a river of width d,

flowing with a speed u. The point opposite him across the river is P.

(A) The minimum time in which he can cross the river is d/v

(B) He can reach the point P in time d/v

(C) He can reach the point P in time2 2

d

v u

(D) He cannot reach P if u> v

33. A projectile is projected at an angle of elevation . After t second, it appears to have an angle

of elevation as seen from point of projection. Which of the following is correct ?

(A) The y co-ordinate of the position of projectile at time t is sin t2

1gt2, where is the

velocity of projection.

(B) The xco-ordinate of the position of projectile at time t is cos t, where is the velocity

of projection.

(C) tan = tancos

gt

(D) Velocity of projection is)sin(2

cosgt

8/12/2019 physics_3

3/5

SECTION IIIThis section contains 4 Assertion& Reasoning type questions. Each question has 4 choices (A), (B), (C) and

(D), out of which ONLY ONE is correct.

CODE :

A. Statement1 is True, Statement2 is True ; Statement2 isa correct explanation for

Statement1.

B. Statement1 is True, Statement2 is True ; Statement2 is NOTa correct explanation

for Statement1.

C. Statement1 is True, Statement2 is False.

D. Statement1 is False, Statement2 is True.

34. STATEMENT 1 : Two particles of different mass, projected with same velocity at same

angles. The maximum height attained by both the particles will be same.and

STATEMENT 2 : The maximum height of projectile is independent of particle mass.

35. STATEMENT 1 : A coin is allowed to fall in a train moving with constant velocity. Its

trajectory is parabola as seen by observer attached with train.

and

STATEMENT 2 : An observer on ground will see path of coin as a parabola.

36. STATEMENT 1 : Horizontal velocity in projectile motion remains constant.

and

STATEMENT

2 : Acceleration due to gravity is vertical.

37. STATEMENT 1 : A particle is moving on a horizontal surface. Its path will be straight

line if initial velocity and acceleration are along same horizontal surface.

and

STATEMENT 2 : Angle between u

and a

determine path therefore, it may be accelerated

or retarded curvilinear.

SECTION IVLinked Comprehension Type

This section contains 3 paragraphs. Based upon each paragraph, 3 multiple choice questions have to be

answered. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.

Paragraph for Questions Nos. 38 to 40

A projectile is thrown with a velocity of 50 ms 1at an angle of 53 with the horizontal.

38. Choose the incorrect statement :

(A) It travels vertically with a velocity of 40 ms 1

(B) It travels horizontally with a velocity of 30 ms 1

(C) The minimum velocity of the projectile is 30 ms 1

(D) None of these

39. Determine the instants at which the projectile is at the same height

(A) t = 1 s and t = 7 s (B) t = 3 s and t = 5 s

8/12/2019 physics_3

4/5

(C) t = 2 s and t = 6 s (D) All the above

40. The equation of the trajectory is given by(A) 180 y = 240 x x2 (B) 180 y = x2 240 x

(C) 180 y = 135x x2 (D) 180 y = x2 135 x

Paragraph for Questions Nos. 41 to 43

A projectile crosses two walls of equal height H symmetrically as shown.

t =6s

t =2s

v0

H H

d=120m

41. The time of flight T is given by(A) 8 s (B) 9 s

(C) 7 s (D) 10 s

42. The maximum height of the projectile is(A) 120 m (B) 80 m

(C) 160 m (D) Cannot be obtained

43. If the horizontal distance between the two walls is d = 120 m, then the range of the projectile

is

(A) 240 m (B) 160 m

(C) 300 m (D) cannot be obtained

Paragraph for Questions Nos. 44 to 46

A man can swim at a speed of 3 km/h in still water. He wants to cross a 500 m wide river flowing at2 km/h. He keeps himself always at an angle to 120 with the river flow while swimming.

44. The time taken to cross the river is:

(A)3

hr2

(B)1

hr6

(C)1

hr3 3

(D) None

45. The drift of the man along the direction of flow, when he arrive at the opposite bank is :

(A)1

km6 3 (B) 6 3 km

8/12/2019 physics_3

5/5

(C) 3 3 km (D)1

3 3km

46. Find the angle due to which man row to reach the point P on the other bank directly

opposite to the point O.P

2km/h

3km/h

O

(A) 30 (B) sin 12

3

(C) 13

sin2

(D) 60