Some typical lengths in the universe.

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Some typical lengths in the universe

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DPP Questions- Units and Dimensions.

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  Units and Dimensions 1) Find the dimensions of the following. i) Force ii) Power iii) Permittivity of a vacuum   2) Using dimensional analysis, Show that, 1  J o u l e = 1 0 7 e r g 3) Show that the given below equation is dimensionally correct equation. v = u + a t   4) Write the C.G.S. units of the following. i) Universal gravitational constant ii) Acceleration due to gravity iii) Force   5) Find the dimensions of length in terms of force, universal gravitational constant and mass. (Consider F G and m as basic fundamental quantities.) Note: For the detailed solution, please visit the next blog. Below are only answers. Answer: 1) i) F = [ M 1 L 1 T − 2 ] ii) P = [ M 1 L 2 T − 3 ] iii) ε 0 ​ = [ M − 1 L − 3 T 4 I 2 ] 3) i) G = g . s c m 3 ​ ii) g = s 2 c m ​ iii) F = s 2 g . c m ​ 5)  L = [ G 1 / 2 M 1 F − 1 / 2 ]
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The standard meter and the standard kilogram

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  The standard meter and the standard kilogram This is a bar of platinum-iridium alloy of X-shaped cross-section called standard meter and this is the International Standard of Length .  The other thing is a cylinder of platinum-iridium called the standard kilogram and this is the International Standard of Mass .
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How many Balmer series lines are in the visible part of the spectrum?

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  Qu. How many Balmer series lines are in the visible part of the spectrum? Answer: The Balmer series or Balmer Lines are one of the sets of six named series which describe the spectral line emission of the hydrogen atom. The Balmer series is characterized by the electron making the transition from  n ≥ 3   t o   n = 2 . Where n is principal quantum number of the electron. The visible spectrum of light from hydrogen displays 4 wavelengths, 410 nm, 434 nm, 486 nm, and 656 nm. These wavelengths are corresponding to the emission of photons by electrons in excited making the transition to the quantum level having principal quantum number n=2. Therefore, 4 Balmer series lines are in the visible part of the spectrum.
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