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#### Question

Just as precise measurements are necessary in science, it is equally important to be able to make rough estimates of quantities using rudimentary ideas and common observations. Think of ways by which you can estimate the following (where an estimate is difficult to obtain, try to get an upper bound on the quantity):

the total mass of rain-bearing clouds over India during the Monsoon

#### Solution

#### Similar questions

A physical quantity *P *is related to four observables *a, b, c *and *d *as follows:

`P=(a^3b^2)/((sqrtcd))`

The percentage errors of measurement in *a*, *b*, *c *and *d* are 1%, 3%, 4% and 2%, respectively. What is the percentage error in the quantity *P*? If the value of *P *calculated using the above relation turns out to be 3.763, to what value should you round off the result?

Answer the following:

The mean diameter of a thin brass rod is to be measured by vernier callipers. Why is a set of 100 measurements of the diameter expected to yield a more reliable estimate than a set of 5 measurements only?

Answer the following:

A screw gauge has a pitch of 1.0 mm and 200 divisions on the circular scale. Do you think it is possible to increase the accuracy of the screw gauge arbitrarily by increasing the number of divisions on the circular scale?