# National Standard Examination in Astronomy (NSEA) Solved Paper 2016 Part-10

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Q: 30. If are unit vectors such that then

(A) Points A, B, C, D are concyclic

(C) Quadrilateral ABCD has half of the maximal area for quadrilateral with same perimeter

(D) The area determined by the vectors is

Q: 31. INSAT series of satellites are launched by India for telecommunication. Such satellites appear stationary at a particular point in the sky when observed from the earth. Consider the following statements:

(i) The satellite always experiences gravitation of the earth

(ii) The satellite does not need any fuel for its motion.

(iii) The satellite does not experience net force

(iv) Such satellites have to be positioned vertically above the equator

(A) Only (ii) , (iii) & (iv) are correct

(B) Only (i) , (ii) & (iv) are correct

(C) Only (i) & (iii) are correct

(D) Only (i) & (ii) are correct

Q: 32. The number

(A) A perfect square and a perfect cube

(B) Neither a perfect square nor a perfect cube

(C) A perfect cube but a perfect square

(D) A perfect square but not a perfect cube

Q: 33. Evaporation of (sweat) water is an essential mechanism in human beings for maintaining normal body temperature. For human beings, heat of vaporization of water at a body temperature of 37 °C is nearly 2.3 MJ/kg and specific heat capacity s 3.5 kJ/ (kg. K) . On consuming a certain prescribed diet, the body temperature of an athlete of mass 82 kg is expected to increase by 2 °C in order to prevent this, be drinks N bottles of mineral water (250 ml water in each) at 37 °C. Assume that the entire amount of this water is given out as sweat, which vaporizes N is nearly (density of water = 1000 kg. )

(A) 1

(B) 2

(C) 3

(D) 4