Question

The correctness of an equation is checked using the principle of homogeneity. For an equation x=a+bt+ct? where x is in metre and t in second. What will be the dimension of 'b'​

Answer 1

Explanation:

x = a + bt + ct

dimension of x = dimensionof a = dimension of b×dimension of t

dimension of x = dimension of b × dimension of t

[L] = dimension of b × [ T ]

dimension of b = [ L ] / [ T ]

dimension = [ L T ^-1 ]