Dimension method helps in converting the units from one system into another. Using dimension, prove `1` Newton=`10^5` dynes.

Dimension method helps in converting the units from one system into another. Name the principle used for the above purpose.

Refraction of light is the phenomenon of change in the path of light ray when it goes from one medium to another.The radius of curvature of each face of a convex lens made of glass of refractive index 1.5 is 30 cm. Calculate the focal length of the lens in air.

Solve the following system of equations using matrix method. 2 x+5 y=1 , 3 x+2 y=7

Electric potential difference is the work done to move a unit +ve test charge from one point to another in an electric field. Potential at a point Is given by the equation V = 3x^2+ 2y^2 + 4z^2 . Calcu-late the magnitude of field components at (2,1,1).

Gravitational potential energy of an object depends on the mass of the object, its height from the surface of earth and acceleration due to gravity. Using the method of dimensions derive an expression for the potential energy.

A box contains slips numbered prime numbers from 1 to 10 and another box contains odd numbers from 1 to 10 . If one slips taken from each. a) What is the probability of both being prime numbers?