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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):
$(a)$ The total mass of rain-bearing clouds over India during the Monsoon.
$(b)$ The mass of an elephant.
$(c)$ The wind speed during a storm.
$(d)$ The number of strands of hair on your head.
$(e)$ The number of air molecules in your classroom.

Which of the following pairs of physical quantities possess the same dimension?

Give an example of:
$(a)$ a physical quantity which has a unit but no dimensions
$(b)$ a physical quantity which has neither unit nor dimensions
$(c)$ a constant which has a unit
$(d)$ a constant which has no unit

Which of the following is not represented in the correct unit?

Match List $I$ with List $II$:
List $I$ List $II$
$A$. Torque $I$. $[M^1 L^1 T^{-2} A^{-2}]$
$B$. Magnetic field $II$. $[L^2 A^1]$
$C$. Magnetic moment $III$. $[M^1 T^{-2} A^{-1}]$
$D$. Permeability of free space $IV$. $[M^1 L^2 T^{-2}]$

Choose the correct answer from the options given below:

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