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It is a well known fact that during a total solar eclipse the disk of the moon almost completely covers the disk of the Sun. From this fact and from the information you can gather from examples 2.3 and 2.4, determine the approximate diameter of the
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A great physicist of this century (P.A.M. Dirac) loved playing with numerical values of Fundamental constants of nature. This led him to an interesting observation. Dirac found that from the basic constants of atomic physics (c, e, mass of electron, mass of proton) and the gravitational constant G, he could arrive at a number with the dimension of time. Further, it was a very large number, its magnitude being close to the present estimate on the age of the universe (~15 billion years). From the table of fundamental constants in this book, try to see if you too can construct
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A book with many printing errors contains four different formulas for the displacement y of a particle undergoing a certain periodic motion : (a) y = a sin 2π t/T (b) y = a sin vt (c) y = (a/T) sin t/a (d) y`(asqrt2)`(sin 2πt/T + cos 2πt/T ) (a = maximum displacement of the particle, v = speed of the particle. T = time-period of motion). Rule out the wrong formulas on dimensional
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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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Fill ups.(i) 3.0m/`s^2 `= ________ km/`hr^2`(ii) `6.67 10^(-11)Nm^2`/`kg^2 = `_________`g^(-1)cm^3s
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Write S.I unit of luminous intensity and
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Calculate the time taken by the light to pass through a nucleus of diameter `1.56 × 10^(-16)` m. (speed of light is `3× 10^8
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If force (F) acceleration (A) and time (T) are taken as fundamental units, then find the dimension of
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Two resistances `R_1 = 100 ± 3Ω and R_2 = 200 ± 4Ω` are connected in series. Then what is the equivalent
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If velocity, time and force were chosen the basic quantities, find the dimensions of
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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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What is the difference between `A^o` and
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Define S.I. unit of solid
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Name physical quantities whose units are electron volt and
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When a planet X is at a distance of 824.7 million kilometers from earth its angular diameter is measured to be `35.72^(11)` of arc. Calculate the diameter of
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A radar signal is beamed towards a planet from the earth and its echo is received seven minutes later. Calculate the velocity of the signal, if the distance between the planet and the earth is
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Give two methods for measuring time
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Find the dimensions of latent heat and specific
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