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Please solve the following problems using dimensional analysis

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(i) Convert 14 mm to its equivalent in m.
(ii) Convert 35 kg to its equivalent in g.
(iii) Convert 57 mL to its equivalent in L.
(iv) Convert a speed of 88 m/s to its equivalent in cm/s.
(v) Convert a density of 9.45 g/L to its equivalent in g/mL.
(vi) The density of mercury metal is 1.6 g/mL. What is the mass of 3.55 mL of the metal?
(vii) The density of lead is 11.3 g/mL. What is the mass of 45 mL of the metal?
(viii) The density of table salt, NaCl, is 2.16 g/mL. what is the mass of 100.0 mL of this solid?
(ix) A particle moves through a gas at a speed of 15 km/s. How far will it move in 5.5 s?
(x) A mole of copper contains 6.02×1023 atoms. How many atoms are there in 0.525 moles?
(xi) A solution of barium nitrate contains 61.2 g per liter of solution. How many grams of barium nitrate is
contained in 2.75 L of this solution?
(xii) A sample of seawater contains 0.000245 g of sodium chloride per mL of solution. How much sodium
chloride is contained in 50.0 mL of this solution?

posted Jul 15 by Indranil Bar

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All these problems are same . These are problems on unit conversion, not of dimentional analytic problems at all . Please read the "Dimentions and Units" from any text on physics of H.S. standart, preferably NCERT texts .

2 Answers

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One example is given for you : 14 mm=24×(1mm/1m)×1m=14×(1mm/1000mm)×1m=0.014×1m=0.014m .
All others are same . But you must know the conversion factors .

answer Aug 21 by Spdas
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Hello,
Dimensional analysis is a very important part of physics according to the JEE point of view
The Unit and dimension covers around 3.50 % weightage in JEE exams
You can take help from the following books to prepare for JEE physics
NCERT
H.C VERMA for physics
DC PANDEY for class physics
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answer Sep 12 by Rahul Sharma
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