Test Paper-2 (06-10-11)

IIT-JEE | AIPMT | AIEEE | OLYMPIADS | KVPY | NTSE

IJSO(STAGE-I) WORK SHOP TEST PAPER -2 Time : 1 Hr.

Max. Marks : 120

GENERAL INSTRUCTIONS 1.

In addition to this question paper, you are given a separate answer sheet.

2.

Fill up all the entries carefully in the space provided on the OMR sheet ONLY IN BLOCK CAPITALS. Incomplete/incorrect/carelessly filled information may disqualify your candidature.

3.

A student has to write his/her answers in the OMR sheet by darkening the appropriate bubble with the help of HB Pencil as the correct answer(s) of the question attempted.

4.

Paper carries 40 questions each of 3 marks.

5.

Any rough work should be done only on the blank space provided at the end of question paper.

6.

For each correct answer gets 3 marks, each wrong answer gets a penalty of 1 mark.

7.

Blank papers, clip boards, log tables, slide rule, mobiles or any other electronic gadgets in any form is "NOT PERMISSIBLE".

8.

Use of nonprogrammable calculator is allowed.

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TEST PAPER-1 1.

If in a ABC, A = /2, then the value of cos2 A + cos2 B + cos2C is : (A) 3

2.

If sin + (A) sec2 

3.

(B) 2

(C) 3/2

4 sin   sin   sin .......  = sec , then sin is equal to

(B) tan2 

(C) sec2 tan2 

1 (B)

3

1 (C)

(D)

2

3

In the figure, tan is equal to :

(A) 5.

(D) cos2 

Consider a cube ABCD – PQRS, is  is the angle between diagonal BS and the plane PQRS, then the value of sin is equal to figure

(A) 1 4.

(D) 1

4 3

(B)

3 4

1 (C) 1

(D)

(C) A > 4

(D) A  4

3

If tan4  + cot4  = A, then (A) A > 2

(B) A  2

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-2_PAGE #1

6.

If a & b are two non zero unequal positive real quantities then, which one of the following equations hold good ? (A) cos  = a + 1/a (B) sec = 2 ab/a2 + b2 (C) cosec2  = 4 ab/(a+b)2

7.

Upper part of a vertical tree which is broken over by the winds just touches the ground and makes an angle of 30º with the ground. If the length of the broken part is 20 metres, then the remaining part of the tree is of length (A) 20 metres

8.

(C) 10 metres

(B) 1

(C) 2

(B) 2 5

(D) –1

(C) 2

(D) 5 2

Which one of the following quantities is not rational ? (A) 1 – tan2 30°/1 + tan230° (B) 4 cos3 30° – 3cos30° (C) 3 sin 30° – 4 sin3 30°

11.

(D) 10 2 metres

If the system of equations y = 7 sinx + 3cosx & y = 7 cosx + 3sinx is solved simultaneously for 0  x  /2, the value of y is equal (A) 4/ 2

10.

(B) 10 3 metres

In any quadrilateral ABCD, find the value of Sin(A+B) + Sin (C+D) (A) 0

9.

(D) None

(D) 2 cot 30°/cot2 30°– 1

The mass of block ‘ A ‘ for the system to be in equilibrium is : { Neglect friction}

A

g 2k

30°

2kg

(A) 1kg 12.

(B) 3kg

(C) 5kg

(D) 7kg

A bullet moving with speed of 72 m/s enters a thick wooden block and comes to rest after penetrating through a distance of 9cm. If the wooden block were 8 cm thick, the bullet would come out the block with a speed. (A) 24 m/s (B) 8 m/s (C) 9 m/s (D) 64 m/s Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-2_PAGE #2

13.

Two bodies A and B each of mass m are fixed together by a massless spring. A force F acts on the mass B as shown in figure. At the instant shown, the body A has an acceleration a. What is the acceleration of B? F  (A)  – a  m  

(B)

F  (C)   a  m  

F m

B

A

T

T

m

m 14.

F

In the figure a block ‘A’ of mass ‘m’ is attached at one end of a light spring and the other end of the spring is connected to another block ‘B’ of mass 2m through a light string. ‘A’ is held fixed anyone and B is in static equilibrium. Now A is released. The acceleration of A just after that instant is ‘a’. In the next case, B is held and A is in static equilibrium. Now when B is released, its acceleration immediately after the release is 'b'. The value of a/b is :(Pulley, string and the spring are massless)

(A) 0 15.

(D) None of these

(B) undefined

(C) 2

(D)

1 2

Two blocks, each of mass M, are connected by a massless string, which passes over a smooth massless  pulley. Forces F act on the blocks as shown. The tension in the string is :

(A) Mg

(B) 2 Mg

(C) Mg + F

(D) none of these

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-2_PAGE #3

16.

Two masses M1 and M2 are attached to the ends of a light string which passes over a massless pulley attached to the top of a double inclined smooth plane of angles of inclination  and ß. If M2 > M1 then the acceleration of block M2 down the inclined will be :

(A) 17.

M2 (sin ) M1  M2

(B) BC

(C) CD

(D) (A) & (C) both are correct

A 50 kg person stands on a 25 kg platform. He pulls massless rope which is attached to the platform via the frictionless, massless pulleys as shown in the figure. The platform moves upwards at a steady velocity if the force with which the person pulls the rope is :

(A) 500 N 19.

 M2 sin   M1 sin    (D) Zero (C)  M1  M2  

M1g(sin  ) M1  M2

Figure shows the displacement of a particle going along the X-axis as a function of time. The force acting on the particle is zero in the region.

(A) AB 18.

(B)

(B) 250 N

(C) 25 N

(D) 50 N

Figure shows four blocks that are being pulled along a smooth horizontal surface. The mssses of the blocks and tension in one cord are given. The pulling force F is : F 30N 60º

(A) 50 N

(B) 100 N

4kg

3kg

2kg

(C) 125 N

1kg

(D) 200 N

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-2_PAGE #4

20.

A body of mass 8 kg is hanging from another body of mass 12 kg. The combination is being pulled by a string with an acceleration of 2.2 m s–2. The tension T1 and T2 will be respectively :(Use g =9.8 m/s2)

(A) 200 N, 80 N 21.

(B) 220 N, 90 N

Radioactivity is due to (A) stable electronic configuration. (C) stable nucleus .

(C) 240 N, 96 N

(D) 260 N, 96 N

(B) unstable electronic configuration. (D) unstable nucleus.

22.

Radium is a radioactive substance. It dissolves in dilute H2SO4 and forms compound radium sulphate. The compound is (A) no longer radioactive. (B) half as radioactive as radium content. (C) as radioactive as the radium content. (D) twice as radioactive as the radium content.

23.

A radioactive disintegration differs from a chemical change in being (A) an exothermic change. (B) a spontaneous process. (C) a nuclear process. (D) None of these

24.

A radioactive sample has a half-life period 1500 years . A sealed tube containing 1 g of the sample will contain after 6000 year (A) 1 g of the sample (B) 0.5 g of the sample (C) 0.0625 g of the sample

25. 26.

(D) 0.025g of the sample

Uncontrolled nuclear chain reaction is the basis of (A) nuclear reactor. (B) hydrogen bomb. (C) atom bomb.

(D) None of these

The reaction, 235 1 92 U  0

140

1 n  56 Ba  93 36 Kr  3 0 n

represents(A) artificial radioactivity. (B) nuclear fission. 27.

(C) nuclear fusion.

Reason for high energy production in nuclear fission is (A) loss of neutron (B) loss of electron (C) loss of  - particle

(D) None of these. (D) mass defect

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-2_PAGE #5

28.

Which of the following statements is wrong ? (A) P-33 is used in the treatment of Leukemia. (B)  -131 is used in the treatment of Thyroid Gland cancer. (C) Co-59 can't be used for treatment of cancer. (D) Excessive use of radioactive elements is responsible for cancerous growth.

29.

In hydrolysis of (A) H2O

30. 31.

, radioactive oxygen goes into(B)

(C) C2H5OH

(D) O2

Which of the following pairs are isosters ? (A) CO2 and N2O (B) H2O and NO2

(C) CH4 and CO

(D) NH3 and SO2

The group of diseases spread by housefly is (A) Malaria, Cholera, Scabies (C) Typhoid, Dysentery, Tuberculosis

(B) Rabies, Rickets, Diarrhoea (D) Ringworm, Scurvy, Vomiting

32.

Sleeping sickness is caused by a protozoan Trypanosoma. This protozoan is present in the salivary gland of a blood sucking insect. The name of that insect is : (A) Culex mosquito (B) Anopheles mosquito (C) Fruit fly (D) Tsetse fly

33.

An antiviral protein which might help in curing viral disease in future is (A) antibody (B) histone (C) nucleoprotein

34.

Biological O2 demand (BOD) measures (A) industrial pollution (C) polluting capacity of effluents

(D) interferon

(B) dissolved oxygen needed by microbes (D) air pollution

35.

Chitinous cell wall, absorptive nutrition and absence of chlorophyll are some of the features shown by (A) Bacteria (B) Fungi (C) Bryophytes (D) Pteridophytes

36.

Bacteria are mico organism can not seen by naked eyes which are unicellular and prokaryotic in nature.These organism are having outermost layer cell wall is composed of (A) lipid and protein (B) cellulose and hemicellulose (C) chitin and fungal cellulose (D) Mucopeptide / peptidoglycan

37.

Which of the following has the highest value in a grassland ecosystem ? (A) tertiary production (B) net production (NP) (C) gross production (GP) (D) secondary production Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-2_PAGE #6

(A) Species D

(D) Gymnosperm

(B) Species B

(C) Species C

(D) Species E

In an ecosystem, four major interdependent components were in the given proportions :

What would be the new composition of the same ecosystem when majority of the cats were killed ?

Mice

(C)

(B)

Cats

(A)

Number

40.

(C) Bryophyta

Shown a side is a diagram of food web of a given terrestrial ecosystem. The arrows represent energy flow & the letters represent different species. In which species would a toxic pollutant that accumulates in animals probably reach the highest concentration ?

Plants

39.

Moving plants belong to – (A) Algae (B) Fungi

Bees

38.

(D)

Space for rough work

WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-2_PAGE #7