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The displacement of a progressive wave is represented by `y = A sin(wt – k x )`, where x is distance and t is time. Write the dimensional formula of
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Time for 20 oscillations of a pendulum is measured as t 1= 39.6 s; t 2= 39.9 s; t 3 = 39.5 s. What is the precision in the measurements? What is the accuracy of the
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A new system of units is proposed in which unit of mass is α kg, unit of length β m and unit of time γ s. How much will 5 J measure in this new
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The volume of a liquid flowing out per second of a pipe of length l and radius r is written by a student as `U=(pi Pr^4)/(8ηl)`where P is the pressure difference between the two ends of the pipe and η is coefficient of viscosity of the liquid having dimensional formula ML–1 T–1. Check whether the equation is dimension ally
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A physical quantity X is related to four measurable quantities a, b, c and d as follows:`X = a ^2 b ^3 c ^(5/2) d^(–2)`. The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4%, respectively. What is the percentage error in quantity X ? If the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the
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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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If velocity of light c, Planck’s constant h and gravitational contant G are taken as fundamental quantities then express mass, length and time in terms of dimensions of these
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An artificial satellite is revolving around a planet of mass M and radius R, in a circular orbit of radius r. From Kepler’s Third law about the period of a satellite around a common central body, square of the period of revolution T is proportional to the cube of the radius of the orbit r. Show using dimensional analysis, that `T=k/Rsqrt(r^3/g)`, where k is a dimensionless constant and g is acceleration due to
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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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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
asked
Mar 19, 2022
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11th Physics
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marks3
chapter2
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How many astronomical units (A.U.) make 1 parsec? Show
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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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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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Einstein’s mass - energy relation emerging out of his famous theory of relativity relates mass (m ) to energy (E ) as E = mc 2, where c is speed of light in vacuum. At the nuclear level, the magnitudes of energy are very small. The energy at nuclear level is usually measured in MeV, where 1 MeV= 1.6×10–13 J; the masses are measured in unified atomic mass unit (u) where 1u = 1.67 × 10–27 kg.
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Einstein’s mass - energy relation emerging out of his famous theory of relativity relates mass (m ) to energy (E ) as E = mc 2, where c is speed of light in vacuum. At the nuclear level, the magnitudes of energy are very small. The energy at nuclear level is usually measured in MeV, where 1 MeV= 1.6×10–13 J; the masses are measured in unified atomic mass unit (u) where 1u = 1.67 × 10–27 kg.
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Physics is the branch of science which deals with the study
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In Physics, quantitative measurement is central to the growth of science
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With which phenomena, classical Physics deals
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Microscopic domain
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Observable universe has range of mass
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