IIT-JEE Physics DPP PDF

ETOOSINDIA TARGET PHYSICS DAILY PRACTICE PROBLEMS India’s No.1 Online Coaching...

ETOOSINDIA TARGET PHYSICS DAILY PRACTICE PROBLEMS India’s No.1 Online Coaching IIT-JEE DPP COURSE NAME : ONLINE AJN SIR DPP NO. 01 DPP No. 01 * Marked Questions are having more than one correct option. OBJECTIVE 1. The vector joining the points A (1, 1, –1) and B (2, –3, 4) & pointing from A to B is - (A) – î + 4 ĵ – 5 k̂ (B) î + 4 ĵ + 5 k̂ (C) î – 4 ĵ + 5 k̂ (D) – î – 4 ĵ – 5 k̂.    2. Two vectors a and b inclined at an angle  w.r.t. each other have a resultant c which makes an angle  with    a. If the directions of a and b are interchanged, then the resultant will have the same (A) magnitude (B) direction (C) magnitude as well as direction (D) neither magnitude nor direction. 3. The vector sum of the forces of 10 N and 6 N can be (A) 2 N (B) 8 N (C) 18 N (D) 20 N.       4. Given : C = A + B. Also, the magnitude of A , B and C are 12, 5 and 13 units respectively. The angle   between A and B is   (A) 0º (B) (C) (D) . 4 2 5. The sum and difference of two perpendicular vectors of equal lengths are (A) of equal lengths and have an acute angle between them (B) of equal length and have an obtuse angle between them (C) also perpendicular to each other and are of different lengths (D) also perpendicular to each other and are of equal lengths.         6. Three non zero vectors A ,B & C satisfy the relation A.B  0 & A.C  0. Then A can be parallel to :       (A) B (B) C (C) B.C (D) B x C 7.* The magnitude of scalar product of two vectors is 8 and that of vector product is 8 3. The angle between them is : (A) 30º (B) 60º (C) 120º (D) 150º www.etoosindia.com ETOOSINDIA Plot No. 46, In front of Skyline Apartments, Corner Building, Rajeev Gandhi Nagar, Kota, PAGE NO. # 1 India’s No.1 Online Coaching (Rajasthan) Pin code : 324005. Help Desk : 09214233303 | 09214233343 | 8. Which of the following sets of displacements might be capable of bringing a car to its returning point? (A) 5, 10, 30 and 50 km (B) 5, 9, 9 and 16 km (C) 40, 40, 90 and 200 km (D) 10, 20, 40 and 90 km 9. A vector A points vertically downward & B points towards east, then the vector product A  B is (A) along west (B) along east (C) zero (D) along south       10. Given : a  b  c = 0. Out of the three vectors a, b and c two are equal in magnitude. The magnitude of the third vector is 2 times that of either of the two having equal magnitude. The angles between the vectors are: (A) 90º, 135º,. 135º (B) 30º, 60º, 90º (C) 45º, 45º, 90º (D) 45º, 60º, 90º 11. A hall has the dimensions 10 m × 12 m × 14 m. A fly starting at one corner ends up at a diametrically opposite corner. The magnitude of its displacement is nearly (A) 16 m (B) 17 m (C) 18 m (D) 21 m.    12. In Figure, E + D – C equals     (A) A (B) – A (C) B (D) – B   13. If A is 2 î  9 ĵ  4 k̂ , then 4 A will be : (A) 8 î  16 ĵ  36 k̂ (B) 8 î  36k̂  16 ĵ (C) 8 î  9 ĵ  16 k̂ (D) 8 î  36 ĵ  16 k̂   14. A  10 î  7 ĵ  4 k̂ , B  3 î  3 ĵ  4 k̂   A  B will be : (A) 7 î  10 ĵ  4 k̂ (B) 7 î  10 k̂ (C) 7 î  10 ĵ (D) 7 ĵ  10 k̂     15. If a = 3 î + 4 ĵ & b = 7 î + 24 ĵ then the vector having the same magnitude as b and same direction as a is: (A) 15 î + 20 ĵ (B) 10 î + 20 ĵ (C) 20 î + 15 ĵ (D) 15 î + 10 ĵ www.etoosindia.com ETOOSINDIA Plot No. 46, In front of Skyline Apartments, Corner Building, Rajeev Gandhi Nagar, Kota, PAGE NO. # 2 India’s No.1 Online Coaching (Rajasthan) Pin code : 324005. Help Desk : 09214233303 | 09214233343 | SUBJECTIVE    16. Vectors A , B and C are shown in figure. Find angle between       (i) A and B , (ii) A and C , (iii) B and C.     17. Two force of F1 = 500 N due east and F2 = 250 N due north , Find F2 – F1 ? 18. One of the rectangular components of a velocity of 60 km h–1 is 30 km h–1. Find other rectangular component? 19. If 0.5 î + 0.8 ĵ + C k̂ is a unit vector. Find the value of C 20. The rectangular components of a vector are (2, 2). The corresponding rectangular components of another vector are (1, 3 ). Find the angle between the two vectors 21. What are the x and the y components of a 25 m displacement at an angle of 210º with the x-axis (anti clockwise)?       22. If A = î + ĵ + k̂ and B = 2 î + ĵ find (a) A. B (b) A × B       23. If | A | = 4, | B | = 3 and  = 60° in the figure , Find (a) A. B (b) | A × B | B  A www.etoosindia.com ETOOSINDIA Plot No. 46, In front of Skyline Apartments, Corner Building, Rajeev Gandhi Nagar, Kota, PAGE NO. # 3 India’s No.1 Online Coaching (Rajasthan) Pin code : 324005. Help Desk : 09214233303 | 09214233343 | 24. Find the resultant of the three vectors OA , OB and OC each of magnitude r as shown in figure?     25. If a  x 1 i  y 1 j & b  x 2 i  y 2 j. Find the condition that would make a & b parallel to each other. 26. Find the magnitude of the unknown forces X and Y if sum of all forces is zero.   27. Find the angle between two vectors A = 2 î + ĵ – k̂ and B = î – k̂. Answer Key DPP No. 01 OBJECTIVE 1. (C) 2. (A) 3. (B) 4. (C) 5. (D) 6. (D) 7.* (BC) 8. (B) 9. (D) 10. (A) 11. (D) 12. (D) 13. (D) 14. (C) 15. (A) SUBJECTIVE 16. (i) 105º , (ii) 150º , (iii) 105º. 17. 250 5 N, tan–1 (2) W of N 18. 30 3 km h–1. 11 19. ± 20. 15º 21. –25 cos 30º and –25 sin 30º 10       22. If A = î + ĵ + k̂ and B = 2 î + ĵ find (a) A. B (b) A × B 23. (a) 6 (b) 6 3 x1 y1 24. r(1 + 2) 25. = 26. 5, 10 27. 30° x2 y2 www.etoosindia.com ETOOSINDIA Plot No. 46, In front of Skyline Apartments, Corner Building, Rajeev Gandhi Nagar, Kota, PAGE NO. # 4 India’s No.1 Online Coaching (Rajasthan) Pin code : 324005. Help Desk : 09214233303 | 09214233343 |