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Some of the most profound statements on the nature of science have come from Albert Einstein, one of the greatest scientists of all time. What do you think did Einstein mean when he said : “The most incomprehensible thing about the world is that it is
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The industrial revolution in England and Western Europe more than two centuries ago was triggered by some key scientific and technological advances. What were these advances
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Though the statement quoted above may be disputed, most physicists do have a feeling that the great laws of physics are at once simple and beautiful. Some of the notable physicists, besides Dirac, who have articulated this feeling, are : Einstein, Bohr, Heisenberg, Chandrasekhar and Feynman. You are urged to make special efforts to get access to the general books and writings by these and other great masters of physics. (See the Bibliography at the end of this book.) Their writings are truly inspiring
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Two clocks are being tested against a standard clock located in a national laboratory. At 12:00:00 noon by the standard clock, the readings of the two clocks are : _ Clock 1 Clock 2 Monday 12:00:05 10:15:06 Tuesday 12:01:15 10:14:59 Wednesday 11:59:08 10:15:18 Thursday 12:01:50 10:15:07 Friday 11:59:15 10:14:53 Saturday 12:01:30 10:15:24 Sunday 12:01:19 10:15:11 If you are doing an experiment that requires precision time interval measurements, which of the two clocks will you prefer
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Fill in the blanks by suitable conversion of units 1 kg `m^2 s^(–2)` = ....g `cm^2
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Fill in the blanks by suitable conversion of units 3.0 m `s^(–2)` = .... km
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A physical quantity P is related to four observables a, b, c and d as follows : `P=(a^3b^2)/(sqrtcd)` The percentage errors of measurement in a, b, c and d are 1%, 3%, 4% and 2%, respectively. What is the percentage error in the quantity P ?If the value of P calculated using the above relation turns out to be 3.763, to what value should you round off the result
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The nearest star to our solar system is 4.29 light years away. How much is this distance in terms of parsecs? How much parallax would this star (named Alpha Centauri) show when viewed from two locations of the Earth six months apart in its orbit around the Sun
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If momentum (P ), area (A) and time (T ) are taken to be fundamental quantities, then energy has the dimensional
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Consider a sunlike star at a distance of 2 parsecs. When it is seen through a telescope with 100 magnification, what should be the angular size of the star? Sun appears to be (1/2)° from the earth. Due to atmospheric fluctuations, eye can’t resolve objects smaller than 1
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Assertion: A ccording to the principle of conservation of energy, all heat can be converted into mechanical work. Reason: Due to various losses, it is im possible to convert all heat into mechanical
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The expression which shows how and which of the base quantities represent the dimensions of a physical quantity is called the dimensional formula of the given physical quantity. The recognition of concepts of dimensions, which guide the description of physical behaviour is of basic importance as only those physical quantities can be added or subtracted which have the same dimensions. A thorough understanding of dimensional analysis helps us in deducing certain relations among different physical quantities and checking the derivation, accuracy and dimensional consistency or homogeneity of various mathematical expressions. When magnitudes of two or more physical quantities are multiplied,
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The displacement `x` of a particle at time t along a straight line is given by `x= alpha -beta t + gamma t^2`. The acceleration of the particle
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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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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.Among the following
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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.A girl riding a bicycle with a speed of
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Uniform Circular Motion When an object follows a circular path at a constant speed, the motion of the object is called uniform circular motion. The word uniform refers to the speed which is uniform (constant) throughout the motion. Although the speed does not vary, the particle is accelerating because the velocity changes its direction at every point on the circular track.The figure shows a particle P which moves along a circular track of radius `r` with a uniform speed `u`.A circular
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A particle of mass `2 kg` is moving on a circular path of radius `10 m` with a speed of `5 ms^(-1)` and its speed is increasing at a rate of `3 ms^(-1)`. Find the force acting on the
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Momentum of a body is the quantity of motion possessed by the body. It depends on the mass of the body and the velocity with which it moves.When a bullet is fired by a gun, it can easily pierce human tissue before coming to rest resulting in casualty. The same bullet fired with moderate speed will not cause much damage. The greater the change in momentum in a given time, the greater is the force that needs to be applied. The second law of motion refers to the general situation, where there is a net external force rating on the
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Momentum of a body is the quantity of motion possessed by the body. It depends on the mass of the body and the velocity with which it moves.When a bullet is fired by a gun, it can easily pierce human tissue before coming to rest resulting in casualty. The same bullet fired with moderate speed will not cause much damage. The greater the change in momentum in a given time, the greater is the force that needs to be applied. The second law of motion refers to the general situation, where there is a net external force rating on the
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varun
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