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A book with many printing errors contains four different formulae for the displacement y of a particle under going a certain periodic motion, where, a = maximum displacement of the particle, v = speed of the particle, T = time period of motion. Which are the correct formulae on dimensional
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If speed V, area A and force F are chosen as fundamental units, then the dimensional formula of Young’s modulus will
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All engineering phenomena deal with definite and measured quantities and so depend on the making of the measurement. We must be clear and precise in making these measurements. To make a measurement, magnitude of the physical quantity (unknown) is compared.The record of a measurement consists of three parts, i.e. the dimension of the quantity, the unit which represents a standard quantity and a number which is the ratio of the measured quantity to the standard quantity.Which of the technique is not used for measuring time
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All engineering phenomena deal with definite and measured quantities and so depend on the making of the measurement. We must be clear and precise in making these measurements. To make a measurement, magnitude of the physical quantity (unknown) is compared.The record of a measurement consists of three parts, i.e. the dimension of the quantity, the unit which represents a standard quantity and a number which is the ratio of the measured quantity to the standard quantity.The mean length of an object is 5 cm. Which of the following measurements is most
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Assertion: A body is momentarily at rest at the instant, if it reverse the direction. Reason: A body cannot have acceleration, if its velocity is zero at a given instant of
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Average Speed and Average Velocity-When an object is in motion, its position changes with time. So, the quantity that describes how fast is the position changing w.r.t. time and in what direction is given by average velocity.It is defined as the change in position or displacement `(Deltax)` divided by the time interval `(Delta t)` in which that displacement occur. However, the quantity used to describe the rate of motion over the actual path, is average speed. It defined as the total distance travelled by the object divided by the total time taken.In the following graph, average velocity is geometrically represented
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Uniformly Accelerated Motion- The velocity of an object, in general, changes during its course of motion. Initially, at the time of Galileo, it was thought that, this change could be described by the rate of change of velocity with distance. But, through his studies of motion of freely falling objects and motion of objects on an inclined plane, Galileo concluded that, the rate of change of velocity with time is a constant of motion for all objects in free fall.This led to the concept of acceleration as the rate of change of velocity with time. The motion in which the
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Uniformly Accelerated Motion- The velocity of an object, in general, changes during its course of motion. Initially, at the time of Galileo, it was thought that, this change could be described by the rate of change of velocity with distance. But, through his studies of motion of freely falling objects and motion of objects on an inclined plane, Galileo concluded that, the rate of change of velocity with time is a constant of motion for all objects in free fall.This led to the concept of acceleration as the rate of change of velocity with time. The motion in which the
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A vector is inclined at an angle 60° to the horizontal. If its rectangular component in the horizontal direction is `50 N`, then its magnitude in the vertical direction
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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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Relative Velocity Every motion is relative as it has to be observed with respect to an observer. Relative velocity is a measurement of velocity of an object with respect to other observer. It is defined as the time rate of change of relative position of one object with respect to another.For example, if rain is falling vertically with a velocity `v_r` and a man is moving horizontally with `v_m`, the man can protect himself from the rain if he holds his umbrella in the direction of relative velocity of rain w.r.t. man.If two objects `P and Q` move along parallel
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A batsman hits back at ball straight in the direction of the bowler without changing its initial speed of `12ms^(-1)`. If the mass of the ball is 0.15 kg, find the impulse imparted to the ball. (Assume linear motion of the
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Two masses `m_1 = 1 kg and m_2 = 2 kg` are connected by a light inextensible string and suspended by means of a weightless pulley as shown in figure.Assuming that both the masses start from rest, the distance travelled by `2 kg,` mass in `2s`
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Assertion: If force is not parallel to the velocity of the body, but makes some angle with it, it changes the component of velocity along the direction of force. Reason: The component of velocity parallel to the force remains
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Amongst the given graphs which one correctly represents the variation of the kinetic energy `(K)` of a body with velocity
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Two identical balls A and B having velocities of `0.5 ms^(-1) and -0.3 ms^(-1)` respectively, collide elastically in one dimension. The velocities of B and A after the collision respectively will
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A particle of mass `m_1` moves with velocity `v_1`, collides with another particle at rest of equal mass. The velocity of second particle after the elastic collision
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Work A farmer ploughing the field, a construction worker carrying bricks, a student studying for a competitive examination, an artist painting a beautiful landscape, all are said to be working. In physics, however, the word ‘Work’ covers a definite and precise meaning. Work refers to the force and the displacement over which it acts. Consider a constant force `F` acting on an object of mass `m`. The object undergoes a displacement `d` in the positive `x`-direction as shown in figure.The work done by the force is defined to be the product of component of the force in the direction of
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Kinetic Energy The energy possessed by a body by virtue of its motion is called kinetic energy. In other words, the amount of work done, a moving object can do before coming to rest is equal to its kinetic energy.`.^..' '` Kinetic energy, `KE =1/2mv^2` where, `m` is a mass and `v` is the velocity of a body.The units and dimensions of KE are Joule (in SI) and `[ML^2T^(-2)]`, respectively. Kinetic energy of a body is always positive. It can never be negative.Two masses of `1 g and 4 g` are moving with equal kinetic energy.
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Kinetic Energy The energy possessed by a body by virtue of its motion is called kinetic energy. In other words, the amount of work done, a moving object can do before coming to rest is equal to its kinetic energy.`.^..' '` Kinetic energy, `KE =1/2mv^2` where, `m` is a mass and `v` is the velocity of a body.The units and dimensions of KE are Joule (in SI) and `[ML^2T^(-2)]`, respectively. Kinetic energy of a body is always positive. It can never be negative.An object of mass `10 kg` is moving with velocity of `10 ms^(-1)`. Due
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