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A car revolves uniformly in a circle of diameter 0.80m and completes 100 rev min'1. Its angular velocity
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If 2 balls are projected at angles 45° and 60° and the maximum heights reached are same, then the ratio of their initial velocities i s
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Two projectiles having different masses `m_1 and m_2` , are projected at an angle `alpha and (90° - alpha)` with the same speed from some point. The ratio of their maximum heights is
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A projectile fired with initial velocity `u` at some angle `theta` has a range `R`. If the initial velocity be doubled at the same angle of projection, then the range will be
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Two cars of masses `m_1 and m_2` are moving in circles of radii `r_1 and r_2`, respectively. Their speeds are such that they make complete circles in the same time `t`. The ratio of their centripetal accelerations is
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For two vectors A and B which lie in a plane. Which of the following statement is
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Match the Column I (example of motion) with Column II (type of motion) and select the correct answer from the codes given below. Column I Column II A. Free fall p. One-dimensional motion B. Projectile motion q. Two-dimensional motion C. Circular motion r. Three-dimensional motion D. Motion along a straight road
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A vector is given by `A=4hati + 3hatj + 5hatk`, where `alpha, beta and gamma` are the angles made by A with coordinate axes. Then, match the Column I with Column II (respective values) and select the correct option from the codes given below. Column I Column II A. `alpha` p. `cos^(-1) (1'/'sqrt2)` B. `beta` q. `cos^(-1) (4'/'5sqrt2)` C. `gamma` r. `cos^(-1) (3'/'5sqrt2)`
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Assertion: Magnitude of resultant of two vectors may be less than the magnitude of either vector. Reason: Vector addition is
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Assertion: Vector addition of two vectors is always greater than their vector subtraction. Reason: At `theta= 90°`, addition and subtraction of vectors are
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Assertion: In case of projectile motion, the magnitude of rate of change of velocity is variable. Reason: In projectile motion, magnitude of velocity first increases and then decreases during the
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Assertion: At highest point of a projectile, dot product of velocity and acceleration is zero. Reason: At highest point, velocity and acceleration are mutually
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Assertion: A particle is projected with speed `u` at an angle `theta` with the horizontal. At any time during motion, speed of particle is `v` at angle `alpha` with the vertical, then `v sin alpha` is always constant throughout the motion. Reason: In case of projectile motion, magnitude of radial acceleration at topmost point is
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Assertion: For projection angle `tan^(-1) (4)`, the horizontal and maximum height of a projectile are equal. Reason: The maximum range of projectile is directly proportional to square of velocity and inversely proportional to acceleration due to
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Assertion: The range of a projectile is maximum at 45°. Reason: At `theta = 45°`, the value of `sin theta` is
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Assertion: Sum of maximum height for angles `alpha and 90°-alpha` is independent of the angle of projection. Reason: For angles `alpha and 90°-alpha`, the horizontal range R is
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Assertion: The maximum height of projectile is always 25% of the maximum range. Reason: For maximum range, projectile should be projected at
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Assertion: Uniform circular motion is uniformly accelerated motion. Reason: Kinematic equations for uniform acceleration motion can be applied in the case of uniform circular
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Vectors are the physical quantities which have both magnitudes and directions and obey the triangle/parallelogram laws of addition and subtraction. It is specified by giving its magnitude by a number and its direction, e.g. Displacement, acceleration, velocity, momentum, force, etc. A vector is represented by a bold face type and also by an arrow placed over a letter, i.e. `F, a, b` or `vecF,veca,vecb`.The length of the line gives the magnitude and the arrowhead gives the direction.The point P is called head or terminal point and point 0 is called tail or initial point of the vector OP.Amongst the following
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Mar 19, 2022
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Vectors are the physical quantities which have both magnitudes and directions and obey the triangle/parallelogram laws of addition and subtraction. It is specified by giving its magnitude by a number and its direction, e.g. Displacement, acceleration, velocity, momentum, force, etc. A vector is represented by a bold face type and also by an arrow placed over a letter, i.e. `F, a, b` or `vecF,veca,vecb`.The length of the line gives the magnitude and the arrowhead gives the direction.The point P is called head or terminal point and point 0 is called tail or initial point of the vector OP.Set of vectors
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Mar 19, 2022
in
11th Physics
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varun
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