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Assignment covering important concept based sums  1. Differentiate f(x) = x – 3 sin x 2. Find the magnitude of a x b if a =2i+j+3k and b=3i+5j-2k 3. Find the unit vector parallel to the resultant of the vectors î + ĵ – k̂ and î – 2ĵ + k̂ is 4. Write the following in roster form. (i) {x ∈ N : x 2  < 121 and x is a prime} 5. Prove that the relation ‘friendship’ is not an equivalence relation on the set of all people in Chennai. 6. Find the range of the function 1/(2Cosx-1)   7. Prove that √3 is an irrational number. 8. Solve for x (i) |3 – x| < 7 9. If n (A ∩ B ) = 3 and n(A ∪ B ) = 10 , then find n(P(A ∆ B)). 10. If a and b are the roots of x^2+√2x+3=0, form a quadratic polynomial with roots 1/a and 1/b  11. Solve x 2  + 3x – 2 ≥ 0 12. Find the zeros of the polynomial function f(x) = 4x 2  – 25 13. Solve 23x < 100 when (i) x is a natural number, (ii) x is an integer. 14. If x 4  + x + 1 is a factor of the polynomial 3x 3  + 8x 2  ...

CBSE CLASS 12 PHSICS  NUMERICALS (SOLVED)   1. A long straight wire carries a current of 35 A. What is the magnitude of the field B at a point 20 cm from the wire? 2.  What is the magnitude of magnetic force per unit length on a wire carrying a current of 8 A and making an angle of 30º with the direction of a uniform magnetic field of 0.15 T?    3. Two long and parallel straight wires, A and B, carrying currents of 8.0 A and 5.0 A in the same direction, are separated by a distance of 4.0 cm. Estimate the force on a 10 cm section of wire A. 4.  A square coil of side 10 cm consists of 20 turns and carries a current of 12 A. The coil is suspended vertically, and the normal to the plane of the coil makes an angle of 30º with the direction of a uniform horizontal magnetic field of magnitude 0.80 T. What is the magnitude of torque experienced by the coil? 5.  A short bar magnet placed with its axis at 30° with a uniform external magn...