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“Every great physical theory starts as a heresy and ends as a dogma”. Give some examples from the history of science of the validity of this incisive
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Science, like any knowledge, can be put to good or bad use, depending on the user. Given below are some of the applications of science. Formulate your views on whether the particular application is good, bad or something that cannot be so clearly categorised : (a) Computers for
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Calculate the angle of 1′ (minute of arc or
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The resistance R = V/I where V = (100 ± 5)V and I = (10 ± 0.2)A. Find the percentage error in
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Find the relative error in Z, if `Z =
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Explain this statement clearly : “To call a dimensional quantity ‘large’ or ‘small’ is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary : (a) atoms are very small objects (b) a jet plane moves with great
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The photograph of a house occupies an area of 1.75 `cm^2` on a 35 mm slide. The slide is projected on to a screen, and the area of the house on the screen is 1.55 `m^2` . What is the linear magnification of the projector-screen
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If `x = at + bt^2` where x is in meters and t is in seconds. What are the units of a and
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Young’s modulus of steel is `19× 10^(10) N`/`m^2`. Express it in dynes `cm^2`. Here dynes are the C.G.S unit of
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Which of the following pairs of physical quantities does not have same dimensional
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Young’s modulus of steel is 1.9 × 1011 N/m 2 . When expressed in CGS units of dynes/cm 2, it will be equal to (1N = 105 dyne, 1 m 2 = 104 cm 2
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Name the device used for measuring the mass of atoms and
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In the expression `P = E l^2 m(–5) G(–2), E, m, l` and G denote energy, mass, angular momentum and gravitational constant, respectively. Show that P is a dimensionless
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In an experiment to estimate the size of a molecule of oleic acid 1 mL of oleic acid is dissolved in 19 mL of alcohol. Then 1 mL of this solution is diluted to 20 mL by adding alcohol. Now 1 drop of this diluted solution is placed on water in a shallow trough. The solution spreads over the surface of water forming one molecule thick layer. Now, lycopodium powder is sprinkled evenly over the film and its diameter is measured. Knowing the volume of the drop and area of the film we can calculate the thickness of the film
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The moon is observed from two diametrically opposite points A and B on earth. The angle `theta` subtended at the moon by the two directions of observation is `1°54';` given that the diameter of the earth to be about `1.276xx10^7 m`. Compute the distance of the moon from the
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A physical quantity `z` depends on four observables `a , b, c and d` , as `z=(a^2b^(2'/'3))/(sqrtc d^3)` The percentages of error in the measurement of `a, b, c and d` are `2%, 1.5%, 4% and 2.5%` respectively. The percentage of error in `z`
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The potential energy of a particle varies with distance x from a fixed origin as `U=(Asqrtx)/(x+B)`, where A and B are constants. The dimensions of AB
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Which amongst the following statement is incorrect regarding
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Assertion: Specific gravity of a fluid is a dimensionless quantity. Reason: It is the ratio of density of fluid to the density of
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Normally, the reported result of measurement is a number that includes all digits in the number that are known reliably plus first digit that is uncertain. The digits that are known reliably plus the first uncertain digit are known as significant digits or significant figures. e.g. When a measured distance is reported to be 374.5 m, it has four significant figures 3, 7, 4 and 5. The figures 3, 7, 4 are certain and reliable, while the digit 5 is uncertain. Clearly, the digits beyond the significant digits reported in any result are superfluous.In `4700 m,` significant digits
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