JEE Main Motion in a Plane — practice questions
74 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Main Motion in a Plane in the app →Per NCERT §3.2, the key feature that distinguishes a vector from a scalar is which?Per NCERT §3.2.2, two vectors A and B are EQUAL if they have which property?Per NCERT §3.4, the sum of a vector A and its negative -A produces which result?Per NCERT §3.4 eqn 3.1, vector addition obeys which property by symmetry?Per NCERT §3.4 eqn 3.2, vector addition also obeys which other property?Per NCERT §3.4 (graphical), the parallelogram law of vector addition is best described as which procedure?Per NCERT Example 3.1, rain falls vertically at 35 m/s and wind blows horizontally at 12 m/s. The resultant spPer NCERT Example 3.1, the boy should hold his umbrella at approximately which angle to the vertical?Per NCERT §3.3, multiplying a vector A by a NEGATIVE scalar -λ (with λ > 0) does what to the vector?Per NCERT §3.2, displacement (position change) is which kind of quantity?Per NCERT §3.2, examples of SCALAR quantities include which set?Per NCERT §3.4, vector subtraction A - B is defined as which operation?Per NCERT §3.5, a UNIT vector has which magnitude and which dimension?Per NCERT §3.5 eqn 3.13, the x-component of a vector A of magnitude A making angle θ with the x-axis is which?Per NCERT §3.5 eqn 3.14, the magnitude of a vector A = A_x î + A_y ĵ is which expression?Per NCERT §3.5 eqn 3.15, the angle θ that a vector A makes with the x-axis (given components A_x and A_y) is wPer NCERT §3.5, a vector A in 3D has components along three orthogonal axes that satisfy which identity (with Per NCERT §3.5, the unit vectors along the x, y, z axes are denoted by which trio?Per NCERT §3.5 (eqn 3.12), a vector in xy-plane can be written in component form as which expression?Per NCERT §3.6, vector addition by the ANALYTICAL method adds vectors by adding which?Per NCERT §3.6 (eqn 3.24a), the magnitude of the resultant of two vectors A and B at angle θ is given by whichPer NCERT §3.5, components of vector A along x and y axes are scalars whose SIGN depends on which feature?Per NCERT §3.6 (resultant of two equal vectors), if |A| = |B| = a and they make 60° between them, the magnitudPer NCERT §3.6 (resultant of two equal vectors), if |A| = |B| = a and they make 90° between them, the magnitudPer NCERT §3.9, Galileo's key insight (1632) about projectile motion was which?Per NCERT §3.9 eqn 3.39, the trajectory equation of a projectile y = (tan θ₀)x − [g/(2v₀²cos²θ₀)]x² describes Per NCERT §3.9 eqn 3.40a, the time t_m to reach the maximum height of a projectile is which?Per NCERT §3.9 eqn 3.40b, the time of flight T_f of a projectile (returning to launch level) is which?Per NCERT §3.9 eqn 3.41, the maximum height h_m of a projectile is which expression?Per NCERT §3.9 eqn 3.42a, the horizontal RANGE R of a projectile (same launch + landing height) is which?Per NCERT §3.9 eqn 3.42b, the projection angle θ₀ that gives MAXIMUM range (for fixed v₀) is which value?Per NCERT Example 3.6 (Galileo's theorem), launch angles (45° + α) and (45° − α) give which property of their Per NCERT Example 3.8, a ball thrown at 28 m/s at 30° above horizontal has maximum height of approximately whiPer NCERT Example 3.8, the time of flight for the same 28 m/s at 30° projectile is approximately which?Per NCERT Example 3.8, the horizontal range for the 28 m/s at 30° projectile is approximately which?Per NCERT §3.9 (horizontal projectile from cliff Ex 3.7), the horizontal and vertical velocities at the momentPer NCERT §3.10, in UNIFORM circular motion, what stays constant and what changes?Per NCERT §3.10 eqn 3.43, the magnitude of the CENTRIPETAL acceleration in UCM is which?Per NCERT §3.10, the direction of the centripetal acceleration vector is always which?Per NCERT §3.10 (text + eqn 3.45), the relation between linear speed v, angular speed ω, and radius R in UCM iPer NCERT §3.10 eqn 3.46, the centripetal acceleration expressed via angular speed ω is which?Per NCERT §3.10 eqn 3.47, the relation between angular speed ω, period T, and frequency ν is which?Per NCERT §3.10 eqn 3.48, the centripetal acceleration expressed via FREQUENCY ν is which?Per NCERT §3.10, the centripetal acceleration vector in UCM is which kind of vector?Per NCERT §3.10, the direction of the VELOCITY vector at any point on the circular path in UCM is which?Per NCERT Example 3.9, an insect on a 12 cm circular groove completes 7 revolutions in 100 s. Its angular speePer NCERT §3.10, the centripetal acceleration of a particle in UCM depends linearly on which of these quantitiPer NCERT §3.10 historical note, the analysis of centripetal acceleration was first published in 1673 by whichA football kicked with speed $u = 20$ m/s at $30^\circ$ above horizontal has initial vertical component approxA stone is thrown at $45^\circ$ on level ground with speed $u = 10$ m/s. Using $g = 10$ m/s$^2$, the range is:A stone tied to a string is whirled in a horizontal circle at constant speed. Its acceleration is:A ceiling fan rotates at $120$ rpm. Its angular speed is approximately:Force has both size and direction and adds by the triangle law. It is a:Which set contains only vector quantities?You walk from P to Q by a winding road. Your displacement is:Compared with the path length, the magnitude of displacement is:Two vectors have the same magnitude and the same direction. They are:You slide a vector parallel to itself. The vector:Multiplying vector A by 2 gives a vector that is:Placing the tail of B at the head of A and joining tail of A to head of B is the:Adding A and -A gives a vector of zero magnitude called the:The direction of a null vector:A kicked football flying through the air is an example of a:A projectile's horizontal motion has:Who first said the horizontal and vertical parts of projectile motion are independent?While a ball is in flight, ignoring air, its acceleration points:Time of flight is twice the time to reach maximum height because the path is:The horizontal distance from launch to where the projectile lands back at the same level is the:For a fixed launch speed, range is greatest at a launch angle of:A car goes round a roundabout at a steady 20 km/h. Its motion is:The acceleration in uniform circular motion always points:Newton named the centre-directed acceleration:Centripetal acceleration has constant magnitude but is not a constant vector because its:The time for one full revolution is the: