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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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Mar 19, 2022
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11th Physics
marks3
chapter2
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Two resistors of resistances `R_1 = 100 ±3` ohm and `R_2 = 200 ± 4` ohm are connected (a) in series, (b) in parallel. Find the equivalent resistance of the (i) series combination, (ii) parallel combination. Use for (a) the relation `R = R_1 + R_2`, and for (b) `1/R^'=1/R_1+1/R_2` and `(∆R^')/(R^('2)) = (∆R_1)/R_1^2+(∆R_2)/R_2^2`
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Mar 19, 2022
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11th Physics
marks3
chapter2
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State the number of significant figures in the following : (a) `0.007 m^2` (b) `2.64 × 10^(24) kg` (c) `0.2370 g
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Mar 19, 2022
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11th Physics
marks3
chapter2
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State the number of significant figures in the following : (d) 6.320 J (e) `6.032 N m^(–2)` (f) `0.0006032
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Mar 19, 2022
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11th Physics
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chapter2
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The length, breadth and thickness of a rectangular sheet of metal are 4.234 m, 1.005 m, and 2.01 cm respectively. Give the area and volume of the sheet to correct significant
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Mar 19, 2022
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11th Physics
marks3
chapter2
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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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Mar 19, 2022
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11th Physics
marks3
chapter2
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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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Mar 19, 2022
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11th Physics
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chapter2
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A famous relation in physics relates ‘moving mass’ m to the ‘rest mass’ `m_o` of a particle in terms of its speed v and the speed of light, c. (This relation first arose as a consequence of special relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets where to put the constant c. He writes : `m=m_o/((1-v^2)^(1/2))` Guess where to put the missing
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Mar 19, 2022
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chapter2
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The unit of length convenient on the atomic scale is known as an angstrom and is denoted by Å: 1 Å = `10^(–10)` m. The size of a hydrogen atom is about 0.5 Å. What is the total atomic volume in `m^3` of a mole of hydrogen atoms
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Mar 19, 2022
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One mole of an ideal gas at standard temperature and pressure occupies 22.4 L (molar volume). What is the ratio of molar volume to the atomic volume of a mole of hydrogen ? (Take the size of hydrogen molecule to be about 1 Å). Why is this ratio so large
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Mar 19, 2022
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chapter2
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Explain this common observation clearly : If you look out of the window of a fast moving train, the nearby trees, houses etc. seem to move rapidly in a direction opposite to the train’s motion, but the distant objects (hill tops, the Moon, the stars etc.) seem to be stationary. (In fact, since you are aware that you are moving, these distant objects seem to move with
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Mar 19, 2022
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11th Physics
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chapter2
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The principle of ‘parallax’ in section 2.3.1 is used in the determination of distances of very distant stars. The baseline AB is the line joining the Earth’s two locations six months apart in its orbit around the Sun. That is, the baseline is about the diameter of the Earth’s orbit `≈ 3 xx 10^(11)`m. However, even the nearest stars are so distant that with such a long baseline, they show parallax only of the order of 1” (second) of arc or so. A parsec is a convenient unit of length on the astronomical scale. It is the distance of an
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Mar 19, 2022
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chapter2
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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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Mar 19, 2022
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11th Physics
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Just as precise measurements are necessary in science, it is equally important to be able to make rough estimates of quantities using rudimentary ideas and common observations. Think of ways by which you can estimate the following (where an estimate is difficult to obtain, try to get an upper bound on the quantity) : (a) the total mass of rain-bearing clouds over India during the Monsoon (b) the mass of an elephant (c) the wind speed during a storm (d) the number of strands of hair on your head (e) the number of air molecules in your
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Mar 19, 2022
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11th Physics
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chapter2
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The Sun is a hot plasma (ionized matter) with its inner core at a temperature exceeding `10^7` K, and its outer surface at a temperature of about 6000 K. At these high temperatures, no substance remains in a solid or liquid phase. In what range do you expect the mass density of the Sun to be, in the range of densities of solids and liquids or gases ? Check if your guess is correct from the following data : mass of the Sun = `2.0 ×10^(30)` kg, radius of the Sun = `7.0 × 10^8`
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Mar 19, 2022
in
11th Physics
marks3
chapter2
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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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Mar 19, 2022
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11th Physics
marks3
chapter2
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A man walking briskly in rain with speed v must slant his umbrella forward making an angle θ with the vertical. A student derives the following relation between θ and v : tan θ = v and checks that the relation has a correct limit: as v → 0, θ →0, as expected. (We are assuming there is no strong wind and that the rain falls vertically for a stationary man). Do you think this relation can be correct ? If not, guess the correct
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Mar 19, 2022
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11th Physics
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It is claimed that two cesium clocks, if allowed to run for 100 years, free from any disturbance, may differ by only about 0.02 s. What does this imply for the accuracy of the standard cesium clock in measuring a time-interval of 1 s
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Mar 19, 2022
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11th Physics
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Estimate the average mass density of a sodium atom assuming its size to be about 2.5 Å. (Use the known values of Avogadro’s number and the atomic mass of sodium). Compare it with the density of sodium in its crystalline phase : 970 kg `m^(–3)`. Are the two densities of the same order of magnitude ? If so, why
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Mar 19, 2022
in
11th Physics
marks3
chapter2
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The unit of length convenient on the nuclear scale is a fermi : 1 f = `10^(–15)` m. Nuclear sizes obey roughly the following empirical relation : `r=r_oA^(1/3)` where r is the radius of the nucleus, A its mass number, and `r_o` is a constant equal to about, 1.2 f. Show that the rule implies that nuclear mass density is nearly constant for different nuclei. Estimate the mass density of sodium nucleus. Compare it with the average mass density of a sodium atom obtained in Exercise.
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Mar 19, 2022
in
11th Physics
marks3
chapter2
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