May 2011 - Career Point

7. A man throws a stone in vertical upward directionfrom ground and reach maximum height H. Duringascent, he travels a distance of H/5 in the lastsecond. Then H is equal to : (Take g = 10 m/s 2 )(A) 25 m(B) 20 m(C) 10 m(D) data is insufficientQuestions 8 to 11 are multiple choice questions. Eachquestions has four choices (A), (B), (C) and (D), out ofwhich MULTIPLE (ONE OR MORE) is correct.8. Which of the following graph(s) is/are not possible?(A)(C)DistanceODistanceTimeO t 1Time(B)(D)DistanceODistance9. If the velocity of a body is constant -(A) |Velocity | = speed(B) |Average velocity| = speed(C) Velocity = average velocity(D) Speed = average speedOTimeTime10. The two vectors → A and → B are drawn from acommon point and → C = A → + → B , then anglebetween A → →and B is -(A) 90º if C 2 = A 2 + B 2(B) greater than 90º if C 2 < A 2 + B 2(C) greater than 90º if C 2 > A 2 + B 2(D) less than 90º if C 2 > A 2 + B 211. Which of the following quantities are independentof the choice of orientation of the co-ordinate axes?(A) → a + → b(C) | → a + → b – → c |(B) a x + b y(D) Angle between → a and → bThis section contains 2 paragraphs, one has 3multiple choice questions and other has 2 multiplechoice questions (Question 12 to 16). Each questionshas 4 choices (A), (B), (C) and (D) out of which ONLYONE is correct.Passage : I (No. 12 to 14)An object is rotating on a horizontal circular trackwith constant speed 'u 0 ' in clock-wise direction.Initially object was moving in east direction.12. Change in velocity as object rotates by an angle 90ºis -(A) zero (B) 2u 0(C) 2 u 0 (D) 3 u 013. Direction of change in velocity in above questionis-(A) south-east (B) south-west(C) south(D) west14. Charge in velocity as objects rotates by an angle180º is -(A) zero (B) 2u 0 towards west(C) 2 u 0 towards west (D) 2 u 0 towards southPassage : II (No. 15 to 16)A particle is projected from ground with a velocityu and an angle 53º with the horizontal. Duringrising after t= 1 s angle made by the velocity vectorwith the horizontal is 37º. (Take g = 10 m/s 2 )15. Value of u is100 200(A) m/s (B) m/s77300(C) m/s (D) date is insufficient716. Speed of particle at the moment when angle is37º -150(A) 100 m/s (B) m/s7100(C) m/s (D) date is insufficient7This section contains 7 questions (Q.17 to 23).+4 marks will be given for each correct answer andno negative marking. The answer to each of thequestions is a SINGLE-DIGIT INTEGER, rangingfrom 0 to 9. The appropriate bubbles below therespective question numbers in the OMR have to bedarkened. For example, if the correct answers toquestion numbers X, Y, Z and W (say) are 6, 0, 9 and2, respectively, then the correct darkening of bubbleswill look like the following :X Y Z W0123456789012345678901234567890123456789XtraEdge for IIT-JEE 55 MAY 2011