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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 1 m = .....
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Fill in the blanks by suitable conversion of units 3.0 m `s^(–2)` = .... km
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Fill in the blanks by suitable conversion of units `G = 6.67 × 10^(–11) N m^(2) (kg)^(–2) = .... (cm)^3 s^(–2) g^(–1)`
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A calorie is a unit of heat or energy and it equals about 4.2 J where 1J = 1 kg `m^2 s^(–2)`. Suppose we employ a system of units in which the unit of mass equals α kg, the unit of length equals β m, the unit of time is γ s. Show that a calorie has a magnitude 4.2 `α^(–1) β^(–2) γ^(2)` in terms of the new
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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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Mar 19, 2022
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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) the mass of Jupiter is very large (b) the air inside this room contains a large
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Mar 19, 2022
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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) the speed of sound is much smaller than the speed of
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Mar 19, 2022
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A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes 8 min and 20 s to cover this distance
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Mar 19, 2022
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Which of the following is the most precise device for measuring length : (a) a vernier callipers with 20 divisions on the sliding scale (b) a screw gauge of pitch 1 mm and 100 divisions on the circular scale (c) an optical instrument that can measure length to within a wavelength of light
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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 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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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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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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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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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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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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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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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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