Organisation : National Genius Search Foundation
Exam : NGSE Advanced Exam
Document Type : Sample Question Papers
Class : XI & XII
Website : http://ngsfindia.org/ngse.php
Download Model Question Paper :
NGSE Advanced Class XI : https://www.pdfquestion.in/uploads/9071-AdvancedXI.pdf
NGSE Advanced Class XII : https://www.pdfquestion.in/uploads/9071-AdvancedXII.pdf
NGSE Advanced Exam Class XI & XII Sample Question Paper :
Class : XI
Time : 90 Minutes
Related : National Genius Search Main & Advanced Exam Class X Sample Question Paper : www.pdfquestion.in/9066.html
National Genius Search Examination : Advanced
Instructions To The Candidate
1. Do Not Open This Test Booklet Until You Are Asked To Do So.
2. Fill and sign the Question cum Answer Booklet. Fill the information required in the answer sheet.
3. Do not seek clarification on any item in the test booklet from anyone including the test invigilator or the centre supervisor. Use your best judgement.
4. This booklet consists of two sections as given below Choose the same subjects that you have opted for NGSE-Mains and answer those two subjects only
5. Use black/blue ball point pen only for writing the answers.
6. Use of mathematical instruments /compass box is allowed. Calculators are not allowed but logarithmic tables are allowed.
7. All questions are compulsory. Each question carries 10 marks. Negative marks are not awarded.
8. Candidate should write the question numbers against each answer. No additional sheet will be supplied. No loose sheet should be attached to this Booklet. Return this booklet to the invigilator after the test.
9. Failure to follow instructions and examination norms will lead to disqualification.
Section – 1: Mathematics
1. Circles are drawn through the point (c, 0) touching the circle c2+y2 = A2 P is a point such that the tangents at the extremities of any chord passing through P intersect on the x-axis. Show that the locus of P is 4a2(x-c)2= (a2-c2)(a2-c)(c-2x)2y2
2. (i) How many triangles oriented the same way as ABC can be seen in a grid like the one shown in figure? The grid consist of n rows.
(ii) Express the number of triangles which can be seen the other way up as a sum of binomial coefficients. Also obtain the value of that sum.
(i) Out of m persons sitting at a round table, the persons, A, B and C are selected at random. Prove that the chance that no two of these are sitting together is (m-4)(m-5)/(m-2)
(ii) If n distinct biscuits are distributed among N beggars. This is true for chance that a particular beggar will get exactly r(<n) biscuits.
3. (a) A rocket consumes 250 gm of fuel per second and ejects the gas with a speed of 8 km/s. Calculate the thrust exerted on the rocket by the ejected gas?
(b) The mass of a pendulum bob is 100 gm and the string is one meter long. the bob is held so that the string is horizontal and it is then allowed to fall. Find the K. E. when the string makes an angle of (i) 0and (ii) 30with the vertical.
4. (a) A block of mass 10 kg is dragged across a horizontal surface by pulling the block with force of 100 N. The force is applied by attaching a chord to the block. The chord is inclined at an angle of 60?? with the horizontal. If the coefficient of kinetic friction is 0.2 what is the acceleration of the block?
(b) An engine pumps water from a tank at the rate of 10 kg per second and ejects from a nozzle 7 m above the surface of the tank with a velocity of 20 m/s. What is the output power of the engine?
5. (a) A stone of mass 0.3 kg tied to the end of a string in a horizontal plane is whirled round in a circle of radius 1 m with a speed of 40 rev/min. What is the tension in the string? What is the maximum, speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N?
6. (a) Derive an expression for the moment of inertia of a thin spherical shell about a diameter.
(b) The escape velocity of a projectile on the earth’s surface is 11.2 cm. A body projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets.
7. (a) A wire 2 mm in diameter is just stretched in between two fixed points at a temperature of 50c. Calculate the tension in the wire, when the temperature falls to 30 C. Coefficient of linear expansion is 11 10c and Young’s modulus is 2.1*10-1
(b) Water rises in a capillary tube to a height 4 cm. If the tube is inclined at an angle of 45 with the vertical, find the position of the water in the tube.
Section – 2: Chemistry
9.(a) Water can react with hydrogen ions to make the oxonium ion, H3o. What is present in a water molecule that allows it to react with a hydrogen ion? Describe the bonding in the oxonium ion. Draw a dot-and-cross diagram for the molecule.
(b) How would you explain the following o9bservations?
(a) BeO is almost insoluble but Beso4 issoluble in water,
(b) BaO is soluble but Baso4 is insoluble in water,
(c) LiI is more soluble than KI in ethanol.
10. Consider the reaction
(a) temperature is increased
(b) volume is increased
(c) a catalyst is added
(d) pressure is decreased
(e) concentration of So2 is increased
(f) helium gas is added at constant volume so that the total pressure is increased
(g) helium gas is added at constant pressure.