Unit Conversion(Part-1) /Math short video/Basics /(foot, c.m, yard, mile, mm, km, liter) #shorts

The magnetic induction due to a short magnet at a distance of 20 cm on the axial line of a short bar magnet is 1.5xx10^(-6)" Wb/m"^(2) . What is the magnetic induction at a point on its axis at a distance of 5 cm from the centre of the magnet?

The unit of force in SI system is newton and it is given as 1 newton = 1kg m s^(-2) . In CGS system its unit is dyne and it is given as 1 dyne = 1 g cm s^(2). Arrange the following steps in a sequential order to relate the SI unit and CGS unit of force. (a) Write the conversations of kg and m, into g and cm, respectively. (b) Substitute the conversations in 1 newton = 1 kg m s^(2) Write the relation between 1 newton and dyne. (d) Write in place of 1 g cm s^(-2) as 1 dyne

A short magnet makes 40 oscillations per minute when used in an oscillation magnetometer at a place where the earth's horizontal magnetic field is 25 muT . Another short magnet of magnetic moment 1.6 A m^2 is placed 20 cm east of the oscillating magnet. Find the new fregquency of oscillation if the magnet has its north pole (a) towards north and (b) towards south.

The magnetic induction at a point on the equator, at a distance of 15 cm from the centre of a short bar magnet is 1.2 xx10^(-5)" Wb/m"^(2) . What is the magnetic induction at a point on the axis at the same distance from the centre?

Denstity conversion : The density of liquid metal, mercucy,n is 13.6 g cm^(-3) . What is the density in kg m^(-3) ? Strategy : We need two unit factors-one to convert gram to kilogram and the other to convert cubic meter to cubic centimeter. Use the relationships 1 kg = 1000g and 1 cm = 1xx10^(-2) m .

Two waves, each having a frequency of 100 Hz and a wavelength of 2 cm , are travelling in the same direction on a string. What is the phase difference between the wayes (a) if the second wave was produced 10 m sec later than the first one at the same place (b) if the two waves were produced at a distance 1 cm behind in the second one? (c) if each of the wave has an amplitude of 2.0 mm , what would be the amplitude of the resultant waves in part (a) and (b) ?

Volume conversion : The volume of a cubical is 7.6 m^(3) . What is the volume in cubci centimeter ? Strategy : First find the suitable unit factor using the relanship 1 cm = 10^(-2) m . The cube this unit factor.