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S is a set with "n" elements n>0.the no. of binary operations that can be defined in S?

let A be a set of "n" distinct elements. the total no. of distinct onto functions from A toA?

it is 14!/2!(3!)
first arrange 15 flowers.
circ. perm so14!
of these12 are of one type so divide by 12!
3 are of same type so divide by 3!
lastly for garland divide by 2!

alpha particle of energy 5Mev is scattered through 180 degrees by a fixed uranium nucleus. the distance of closest approach?

in rutherford alpha particle expt. if impact parameter(b) is 0,then angle of scattering(theta) =?

a resistor of 2kohms with tolerance10% is connected in parallel with resistor of 3kohms with a tolerance of 10%. tolerance of combination?

refer model papers with solutions

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Multiplication of Vectors by Scalars and Addition of Vector
Geometry with vectors Affine Geometry
Scalar Product
Applications to Metric Geometry
Vector Product and Scalar Triple Product
Geometry with Cartesian Coordinates
Some Miscellaneous Topics
Statics with Vectors

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