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a.)Find the dimension of a x b in the relation p = b – x^2/at; where p is power, x is distance and t is time b.)Check the dimensional consistency of i.) lamda = h/mv [lamda = wavelength] [m = mass] [v = velocity] ii.) E = mc^2

a.)Find the dimension of a x b in the relation p = b – x^2/at; where p is power, x is distance and t is time
b.)Check the dimensional consistency of
i.)  lamda = h/mv                        [lamda = wavelength]
                                                       [m = mass]
                                                       [v = velocity]
ii.) E = mc^2

Grade:11

1 Answers

Saurabh Kumar
askIITians Faculty 2411 Points
5 years ago
Dimension of a x b can be calculated by getting dimensions of a and b individually
To get the dimension of 'b', get the dimension of 'power'
and to get the dimension of 'a', i.e. a = x^2/pt, and get its dimension
b. For diesnion consistency of the relation, check LH terms and similarly for RH terms..
if same, then they are consistent otherwise not..

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