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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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The velocity υ of water waves may depend on their wavelength λ density of water ρ and the acceleration due to gravity g. Find relation between these quantities by the method of

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The force acting on an object of mass m traveling at velocity υ in a circle of radius r is giving by `F=(mv^2)/r` The measurements recorded as m `m= 3.5kg +-0.1``υ = 20 m'/'s +-1 m'/'s``' '` `r=12.5m+- 0.5 m` Find the maximum possible (1) fractional error (2) % error in the measurement of force. How will you record the

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(a) State which of the following are dimensionally current(i) Pressure = Energy per unit volume(ii) Pressure = Momentum × volume × time(b) The density of cylindrical rod was measured by the formula:- `P=(4m)/(piD^2I)`The percentage in m, D and l are `1%, 1.5% and 0.5%.` Calculate the % error in the calculated value of

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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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

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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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

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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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

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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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 in 11th Physics by varun (6.7k points)

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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 in 11th Physics by varun (6.7k points)

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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

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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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

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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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.

asked Mar 19, 2022 in 11th Physics by varun (6.7k points)

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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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Explain briefly the analytical method of formation of

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Show that the total energy of a body executing SHN is independent of

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Determine the time period of a simple pendulum of length = l when mass of bob = m

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