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A person normally weighing 50 kg stands on a massless platform which oscillates up and down harmonically at a frequency of 2.0 s–1 and an amplitude 5.0 cm. A weighing machine on the platform gives the persons weight against time. Will there be any change in weight of the
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No physicist has ever “seen” an electron. Yet, all physicists believe in the existence of electrons. An intelligent but superstitious man advances this analogy to argue that ‘ghosts’ exist even though no one has ‘seen’ one. How will you refute his argument
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Textbooks on science may give you a wrong impression that studying science is dry and all too serious and that scientists are absent-minded introverts who never laugh or grin. This image of science and scientists is patently false. Scientists, like any other group of humans, have their share of humorists, and many have led their lives with a great sense of fun and adventure, even as they seriously pursued their scientific work. Two great physicists of this genre are Gamow and Feynman. You will enjoy reading their books listed in the
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A student measures the thickness of a human hair by looking at it through a microscope of magnification 100. He makes 20 observations and finds that the average width of the hair in the field of view of the microscope is 3.5 mm. What is the estimate on the thickness of hair
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Answer the following : (a)You are given a thread and a meter scale. How will you estimate the diameter of the thread ? (b)A screw gauge has a pitch of 1.0 mm and 200 divisions on the circular scale. Do you think it is possible to increase the accuracy of the screw gauge arbitrarily by increasing the number of divisions on the circular scale ? (c) The mean diameter of a thin brass rod is to be measured by vernier callipers. Why is a set of 100 measurements of the diameter expected to yield a more reliable estimate than a
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The mass of a box measured by a grocer’s balance is 2.300 kg. Two gold pieces of masses 20.15 g and 20.17 g are added to the box. What is (a) the total mass of the box, (b) the difference in the masses of the pieces to correct significant figures
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When the planet Jupiter is at a distance of 824.7 million kilometers from the Earth, its angular diameter is measured to be 35.72” of arc. Calculate the diameter of
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Fill ups.(i) 3.0m/`s^2 `= ________ km/`hr^2`(ii) `6.67 10^(-11)Nm^2`/`kg^2 = `_________`g^(-1)cm^3s
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If velocity, time and force were chosen the basic quantities, find the dimensions of
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Why do we have different units for the same physical
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The earth-moon distance is about 60 earth radius. What will be the diameter of the earth (approximately in degrees) as seen from the
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From parallax measurement, the sun is found to be at a distance of about 400 times the earth-moon distance. Estimate the ratio of sun-earth
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Calculate the solid angle subtended by the periphery of an area of 1 cm 2 at a point situated symmetrically at a distance of 5 cm from the
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Mars has approximately half of the earth’s diameter. When it is closest to the earth it is at about 1/2 A.U. from the earth. Calculate what size it will appear when seen through the same telescope. (Comment : This is to illustrate why a telescope can magnify planets but
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Assertion: Symmetry of laws of nature with respect to translation in space give rise to conservation of linear momentum . Reason: Isotropy of space does not underlies the law of conservation of angular momentum
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Amongst the following options, which is a unit of
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The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density
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Percentage errors in the measurement of mass and speed are 2% and 3%, respectively. The error in the estimation of kinetic energy obtained by measuring mass and speed will
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If 3.8 x 10-6 is added to 42x 10'6 giving due regard to significant figures, then the result will
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Maximum absolute error in the sum or difference of two quantities is equal to sum of the absolute error in the individual quantities, i.e.` Z = A + B,` then `± DeltaZ = ± DeltaA ± DeltaB`Maximum fractional error in a product or division of quantities is equal to the sum of fractional errors in the individual quantities `i.e.' 'AB or A/B,` then `(DeltaZ)/Z=+-(DeltaA)/A+(DeltaB)B`Two resistors of resistances `R_1= 100 ± 3Omega and R_2 = 200 ± 4Omega` are connected (a) in series and (b) in parallelThe fractional error in the value of `R_2`
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