What do you mean by propagation of errors? Explain the propagation of errors in addition and multiplication.

The parallal x of a heavenly body measured from two points diametrically opposite on equator of earth is 2'. Calculate the distance of the heavenly body. [Given radius of the earth = 6400 km] [1" = 4.85\(\times\)10^-6 rad]

Check the correctness of the equation\(\frac { 1 }{ 2 } \)mv² = mgh using dimensional analysis method.

The force F acting on a body moving in a circular path depends on mass of the body (m), velocity (v) and radius (r) of the circular path. Obtain the expression for the force by dimensional analysis method. (Take the value of k = 1)

A capacitor of capacitance C = 3.0 ± 0.1\(\mu \)F is charged to a voltage of V = 18 ± 0.4 Volt. Calculate the charge Q [Use Q = CV].