Q29 of 60 Page 29

The changes in a function y and the independent variable x are related as Find y as a function of x.

Changes in a function of y and the independent variable x are related as:



Integrating of both sides, we get:




where c is a constant


∴ y as a function of x is represented by


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27

A rod of length L is placed along the X-axis between x = 0 and x = L. The linear density (mass/length) ρ of the rod varies with the distance x from the origin as ρ = a + bx. (a) Find the SI units of a and b. (b) Find the mass of the rod in terms of a, b and L.

A. kg/m, kg/m2


B. aL + bL2/2


 28

The momentum p of a particle changes with time t according to the relation If the momentum is zero at t = 0, what will the momentum be at t = 10 s?

 30

Write the number of significant digits’ in

A. 1001 B. 1001


C. 10010 D. OE001001


 31

A meter scale is graduated at every millimeter. How many significant digits will be there in a length measurement with this scale?