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FOU. DATION QUESTIONS EXERCISE, 1, , Whicn of the, a), , A, , following statement, , 11 If, , is true?, , scalar, , quantity, , is the one that is, , process, (D)A scalar, values, , quantity, , is, , conserved, , in a, , that, , can never, , be, , negative, , quantity, , has the, , same, , value for observers With, , different orientations of the axes, 2, , f twO vectors are, IS, , also, , equal, , in, , equal, , in, , magnitude, , magnitude, , to one of, , between the two vectors is, (a) 60, , (b) 120, , and their resultant, , them, then the angle, , (c) 90°, , (d) 0, having, , =3i+ 4jand B =7 i + 24 j, the vector, the, same magnitude as B and, to, A, is, parallel, (a) 5 i + 20j (b) 15i+ 10j (c) 20i+, 15j (d) 15i + 20j, Six vectors a through f have the, magnitudes and, directions as shown in figure. Which statement is true?, , 3 lf A, , 4, , vector, , 2i+3j+ 8k is perpendicularto thevector, , 4j-4i+ok, then, (a), , one, , (CA Scalar quantity is the one that does not, vary from one, point to another in space, , (d) A scalar, , a, , -, , value, , is, , of a, , (c), , (b), , 1, , (d) 1, , 2, , 12 At what angle should the two forces 2P and v2P act, so, , that the resultant force is PV10?, , (d) 120°, , (c) 90°, , (b) 60°, , (a) 45°, , 13 A boat is sent across a river with a velocity of 8 km/h. If, the resultant velocity of boat is 10 km/h, then velocity of, river is, , (d) 4 km/h, , (c) 6 km/h, , (b) 8 km/h, , (a) 10 km/h, , 14 The velocity of a projectile at the initial point A is, , (2i +3 ) m/s., , Its, , velocity (in m/s), , at, , point, , B is, , NEET 2013, , CBSE AIPMT 2010, , Jb, Td, , (a)bC, (c)a +e=f, , (b)-2i+ 3, , (c) 2i-3, , (d) 2i+ 3, , 15 Thex and y coordinates of the particle at any time are, x = 5 t - 2 t and y =10t respectively, where x and yare, , =f, , 2i+3j along, , =, , i+j is, (a), , (a)-2i 3, , (b) d + C = f, , (d) b + e, , 5 The component of vector A, , X, , A, , f, , the vector, , in metres and t in seconds. The acceleration of the, , NEET 2017, , particle at t = 2 s is, , 5, , (b) 10/2, , (c) 52, , (d) 5, , (b) 5i ms2, , (a) 0, , (c)-4i ms, , (d)-8i ms, , 16 A particle has initial velocity (3i + 4j) and has, 6 A andB are two vectors and 0 is the angle between, them, if | A xB| = V3 (A B), the value ofe is, (a) 60°, , (b) 45, 7 Given A= 4i + 6j and B, , (c) 30°, , (d) 90°, , 2i +3j. Which of the following, , is correct?, , (b) A B, , (c) |A|, , (d) A and B are anti-parallel, , 1, , 2, , 24, , vectors A and B is, (b) 90°, , (a) 180°, , (d) 0°, , each other, then value of a is, , (b)-2, , (a) zero, , (a) 45°, , 17 A particle is moving such that its position coordinates, , Ax, , =, , O to t, , =, , 5s, , is, , a)(13+ 14i) () +i))2 +, 5, , i), , a), , are R and H, respectively. If a constant, horizontal acceleration a = g/4 is imparted to the, projectile due to wind, then its horizontal range and, , projectile, , maximum height will be, , (c) 3, , B, then the angle between A, b) 30°, , vector (Vav) from t, , i, , 18 The horizontal range and maximum height attained bya, (C) 45°, , 9 If two vectors 2 i +3j+k and-4i-6j-kare parallel to, , =, , (d) 10 unit, , (c) 8.5 unit, , t= 2s and (13 m, 14 m) at time t = 5s. Average velocity, , 8 If A = 4i + 4j + 4k and B =3i +j+ 4k, then angle between, , 10 If A B, , CBSE AIPMT 2010D, (b) 72 unit, , (a) 7 unit, , (X, y)are (2 m, 3 m) at timet = 0, (6 m, 7 m) at time, , (a) Ax B = 0, , B, , acceleration (0.4 i +0.3 j). Its speed after 10 s is, , (c) 60°, , (d) 4, , and B is, (d) 90°, , (a)(R + H),, , 2, , (c)(R+2H),H, , (b)R,2H, (d)(+H),H

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19 A projectile is thrown in the upward direction making, , an, , angle of 60° with the horizontal direction with a velocity of, 147 m/s. Then, the time after which its inclination with the, horizontal is 45°, is, (a) 15 s, , 20 The, , velocity, , (c) 5.49, , (b) 10.98s, of a, , particle, , is, , V, , =, , (d) 2.745s, , s, , Vo +gt+at., , If its position, , X = 0 at t = 0, then its displacement after unit time (t = 1) is, , (b) Vo, , (a)v =+a, , (cv+, , =, , 2g+ 3a, , (d) o+9+a, , 3, , 21 A projectile is fired trom the surface of the earth with a, velocity of 5 m/s and angle e with the horizontal. Another, projectile fired from another planet with a velocity of 3, m/s at the same angie follows a trajectory which is, identical with the trajectory of the projectile fired from the, earth. The value of the acceleration due to gravity on the, 2014, planet is (in m/s) (given, g 9.8 m/s<)~, , CBSE AIPMT, , =, , (a) 3.5, , (b) 5.9, , (c) 16.3, , (d) 110.8, , 22 The horizontal range and, are, , (a), , equal., , The, , angle, , 0 =tan, , of, , height, , maximum, , projection, , of, , a, , projectile, , CBSE AIPMT 2012, , is, , (b)e= tan (4), , (c) 0 tan (2), , (d) e =45°, , 23 A missile is fired for maximum range with an initia!, velocity of 20 m/s. Ifg =10 m/s", the range of missile is, , CBSE AIPMT 2011, (a) 50 m, , (b) 60 m, , (c) 20 m, , (d) 40 m, , 24 A, , particle of mass m is projected with a velocity v making, angle of 45° with the horizontal. The magnitude of, , an, , angular momentum of projectile about the point of, , projection when, (a)zero, c)mvh, , 2, , the, , particle is, , at its, , (6), (d), , maximum height h, , mvh, , None of these, , is