Units and measurments

What is the analogy that you will use in order to solve questions that are related like if units s present what about dimensions etc

Also how would you assign the analogy??

You would use the song Neeche phuloon ki dukan uppar gori ka makkan ; Unit → phuloon ki dukaan, dimension → Gori ka makaan

What are the dimensionless functions and also state any exceptions if any

1. Trigonometric functions

2. Exponents

3. Numerical values (Usually, unless the numerical value helps a variable become a dimension)

4. things like pi

5. The ‘d‘ when doing differentiation, ex, dy/dx, when taken, the dimensions are y/x

6. The design when doing calculus

What are the rules for significant figures

1. All the zeros that don’t have a number >=1 aren’t significant numbers

2. When rounding off after a decimal point, 2 cases arise:-
   1) Even numbers present before 5 => You leave it
   2)Odd numbers present before 5 => You add 1 to it

What is accuracy

It is the closeness of a value to the true value

What is precision

How precise a given value is

What are the error rules when calculating with errors?

What does and m show when calculating errors

∆m → error in mass ; m → Total mass

What is the value of the scale on which Vernier callipers are measured?

10 mm = 1 cm

What is the value of 1 VSD reading

9 mm

What is the value of 1 MSD reading

1 mm

What is the Least count of an instrument

It is the minimum reading that can be taken by an instrument

How would you find out the L.C for an instrument

1 main scale division - 1 vernier caliper division

How would you find out the reading of an instrument?

Main scale reading + Vernier scale reading * L.C

What is the L.C. on a meter scale?

1 mm

What is the L.C. on a Vernier callipers?

0.1 mm

What is the L.C. on a Screw gauge?

0.01 mm

What is the relation between V.S and M.S

1 mm on main scale = 0.9mm on V.S

What is pitch?

Distance travelled by circular meter on the M.S

What is the formula for calculating the L.C. on a screw gauge

Pitch/number of circular divisions (or) M.S.D/number of circular divisions

What is the formula for getting the final reading on the screw gauge

MSR + (L.C * Circular scale reading)