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PHYSICS
SECTION-I
- An engine of a train, moving with uniform acceleration, passes the signal post with velocity u and the last compartment with velocity v. The velocity with which middle point of the train passes the signal post is:
- A car travels a distance of 'x' with speed and then same distance 'x' with speed in the same direction. The average speed of the car is:
(1)
(2)
(3)
(4)
- Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at Ball B is thrown vertically down with an initial velocity 'u' at After a certain time, both
balls meet 100 m, above the ground. Find the value of 'u' in
(1) 10 (2) 15 (3) 20 (4) 30
- A body travels in nth^ second and 115.0 m in second. The acceleration is:
(1) (2)
- The angle between vector and the resultant of and is:
(1)
(2)
- A particle starts from the origin at with an initial velocity of and moves in the x-y
plane with a constant acceleration The x-coordinate of the particle at the instant when its y-coordinate is 32m is D meters. The value D is:
(1) 32 (2) 50 (3) 60 (4) 40
- A car of 800 kg is taking turn on a banked road of radius 300 m and angle of banking If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn
safely:
(1) (2) (3) (4)
- Two projectile are thrown with same initial speed making an angle of and with the horizontal respectively. The ratio of their respective ranges will be
(1) (2) (3) (4)
Figure shows a block of mass 3 kg. The strings shown in figure are pulled by constant forces of 20 N and 32 N. The acceleration of the block is ____
- A simple pendulum of length 1 m has a wooden bob of mass 1 kg. It is struck by a bullet of mass moving with a speed of The bullet gets embedded into the bob. The height to which the bob rises before swinging back is. (Use
(1) 0.30 m (2) 0.20 m (3) (4)
- The boxes of masses 2 kg and 8 kg are connected by a massless string passing over smooth pulleys. Calculate the time taken by box of mass 8kg to strike the ground starting from rest. (use
(1) 0.34s (2) 0.2s (3) 0.25s (4) 0.4s
- For the arrangement in figure, the tension in the string to prevent it from sliding down, is
(1) 6N
(2) 6.4N
(3) 0.4N
(4) Zero
- A block is dragged on a smooth plane with the help of a rope which moves with a velocity V as
shown in figure. The horizontal velocity of the block is:
(1) V
- A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of by a force of 10 N parallel to the inclined surface as shown in figure. When the block is pushed up by 10 m
along inclined surface, the work done against frictional force is:
- Given below are two statements: Statement-I:- The limiting force of static friction depends on the area of contact independent of materials. Statement-II:- The limiting force of kinetic friction is independent of the area of contact and depends on materials. In the light of the above statements, choose the most appropriate answer from the options given below:
(1) Statement-I is correct but statement-II is incorrect (2) Statement-I is incorrect but statement-II is correct (3) Both statement-I and statement-II are incorrect (4) Both statement-I and statement-II are correct
- A particle is moving in one dimension (along x axis) under the action of a variable force. It's initial position was 16 m right of origin. The variation of its position (x) with time (t) is given as where x is in m and t is in s. The velocity of the particle when its acceleration becomes zero is ____ m/s.
A particle is projected with a velocity v so that its range on a horizontal plane is twice the greatest
height attained. If g is acceleration due to gravity, then its range is Find x
The equation of motion of a projectile is If 'R' is the range of the projectile. Find
A force displaces a body from to Work done by this force is ______ J.
A heavy box of mass 50 kg is moving on a horizontal surface. If co-efficient of kinetic friction between the box and horizontal surface is 0.3 then force of kinetic friction is: ________
Three blocks having masses 4 kg, 6 kg and 10 kg respectively are hanging from a smooth pully using rope 1, 2 and 3 as shown in figure. The tension in the rope 1, when they are moving upward with acceleration of is _______ N (if
A block of mass 1.9kg is at rest at the edge of a table of height 1m. A bullet of mass 0.1 kg collides with the block and sticks to it. If the velocity of the bullet is 20 m/s in the horizontal direction just before the collision then the kinetic energy just before the combined mass strikes the floor is ________J. [Take g = 10 m/s^2 ]
- A bus moving along a straight highway with speed of 72 km/h is brought to halt within 4s after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is ______m.
CHEMISTRY
SECTION-I
- Bohr's theory is not applicable to
(1) (2) (3) (4)
- Which one of the following has maximum number of atoms of oxygen?
(1) 2 g of carbon monoxide (2) 2 g of carbon dioxide (3) 2 g of sulphur dioxide (4) 2 g of water
- Empirical formula of a compound is and its molecular mass is 90, the molecular formula of the compound is
(1) (2) (3) (4)
- The wavelength of third line of the Balmer series for a H atom is
(1)
(2)
(3)
(4)
- Principal, azimuthal and magnetic quantum numbers are respectively related to
(1) Size, shape and orientation (2) Shape, size and orientation (3) Size, orientation and shape
(4) Positive
- Which of the following ion is the smallest
(1) (2) (3) (4)
- The lightest metal is
(1) Li (2) Mg (3) Ca (4) Na
- Which of the following incomplete octet at central atom?
(1) (2) (3) (4)
- Which of the following will have more polarizing power?
(1) (2) (3) (4)
- Which of the following have a triple bond?
(1) (2) (3) (4)
- Arrange the following in the increasing order of their bond order
(1) (2) (3) (4)
- The correct order of boiling point in the following compound is
- The highest oxidation state of Mn is shown in :
(1) (2) (3) (4)
- The missing term in the following equation is :
(1) (2) (3) (4)
SECTION-II
The number of anti-bonding electrons present in molecular ion is ________
How many electrons can be described by the quantum numbers in a particular atom ?
When the electron of a hydrogen atom jumps from the to the state, the number of spectral lines emitted is ___________
The charge on the atom containing 17 protons, 18 neutrons and 18 electrons is :
The ionisation energy of a hydrogen atom is 13.6 ev. The energy of the ground level in doubly ionised lithium is _________ ev
A gas mixture contains 25% He and 75% by volume at a given temperature and pressure. The percentage by mass of methane in the mixture is approximately ________ %. (Round off upto 2 digits)
20 mL of methane is completely burnt using 50 mL of oxygen. The volume of the gas left after cooling to room temperature is __________ mL.
The number of gram - atoms of chlorine in hydrogen chloride molecules is _______
(2) a^2 + b^2 (3) a^2 – 2b^2 (4) a^2 – b^2
- The graph of quadratic equation expression f(x) = ax^2 + bx + c with a < 0 is always below x – axis if
(1) D = 0 (2) D > 0 (3) D < 0 (4) None of these
- If , then the equation whose roots are , is
(1) x^2 + 5x − 3 = 0 (2) 3x^2 + 12x + 3 = 0 (3) 3x^2 − 19x + 3 = 0 (4) None of these
- Find p and q such that px^2 + 5x + 2 = 0 and 3x^2 + 10x + q = 0 have both roots in common
(1)
(2) (3) p = 3, q = 2 (4)
- Examine given quadratic equation
(1) a > 0, b < 0, c > 0 (2) a < 0, b > 0, c = 0 (3) a > 0, c > 0, b < 0
(4) a > 0, c = 0, b > 0
- If one root of the quadratic equation is a surd where p, q, r, a, b are all rationals then the other root is
- If the sum of n terms of an A.P. is given by Sn = n^2 + n, then the common difference of the A.P.is
(1) 1 (2) 2 (3) 6 (4) 4
- The third term of a G.P. is 9. The product of its first five terms is
(1) 3^5 (2) 3^10 (3) 3^9 (4) 3^12
- The smallest value of satisfying the equation is
(1)
(2) (3) (4)
- If the sum of the first ten terms of an A.P. is four times the sum of its five terms, then ratio of the first term to the common difference is
(1) 1 : 2 (2) 2 : 1 (3) 1 : 4 (4) 4 : 1
- Find the value of is
(1) tan36º (2) tan54º (3) cot72º (4) cot54º
SECTION-II
If be an identity in x. Then value of a is
the number of values of x for which and is
If are roots of the equation then the value of is equal to
If (x + 1), 3x and (4x + 2) are first three terms of an A.P. then its 5th^ term is
If are in A.P. such that a 1 + a 5 + a 10 + a 15 + a 20 + a 24 = 225, then a 1 + a 2 + a 3 + ... + a 23 + a 24 =
The sum of 101 terms of an A.P. is 1212. The middle term is
If the numbers a, b, c, d, e from an A.P. then the value of a – 4b + 6c – 4d + e is
The value of sin50º–sin70º+sin10º is
If then is equal to
The number of solution of tanx + secx = 2cosx in
ANSWER KEYS
PHYSICS
SECTION-I
Q. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 A. 3 4 4 2 1 3 2 3 3 1 3 2 4 4 2 2 2 2 2 1 SECTION-II
Q. 21 22 23 24 25 26 27 28 29 30 A. 45.00 5.00 52.00 4.00 16.00 58.00 147.00 240.00 21.00 40.
CHEMISTRY
SECTION-I
Q. 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 A. 1 4 1 2 1 2 2 1 2 3 4 1 1 1 1 3 3 2 2 1 SECTION-II Q. 51 52 53 54 55 56 57 58 59 60 A. 7.00 10.00 6.00 -1.00 -122.4 92.00 30.00 100.00 1.6 18.
MATHEMATICS
SECTION-I
Q. 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 A. 1 3 1 1 3 3 3 4 4 3 2 2 3 1 1 1 2 1 3 2 SECTION-II Q. 81 82 83 84 85 86 87 88 89 90 A. 1.00 1.00 64.00 24.00 900.00 12.00 0.00 0.00 0.00 2.
Angle between and is zero
We just have to calculate resultant force acting on the block and divide it by mass m of the block. Therefore, the resultant force
So,
Newton
