Mathematics

1. if |z-1| /|z-4| = 2, the locus of z = x+iy in Argand plane will be:

a. parabola

b. hyperbola

c. circle

d. straight line

2.

Let a,b,c be three non-coplanar vectors and p,q,r are vectors defined by the relations

p = b×c/[abc]

q = c×a/[abc]

r = a×b/[abc]

then the value of the expression

[(a+b).p +(b+c).q +(c+a).r] is equal to

a. 3

b. 1

c. 0

d. 2

Physics

3. A particle moving eastwards with a velocity 5 m/s. In 10 seconds the velocity changes to 5 m/s northwards. The average acceleration in this time is

a. zero

b. 1/SQRT(2) m/s² towards north-west

c. ½ m/s² toward north-west

d. ½ m/s² towards north

Chemistry

4. Which of the following has maximum number of atoms?

a. 24 g of C (M=12 g mol^-1

b. 23 g of Na (M = 23 g mol^-1)

c. 48 g of S (M = 32 b mol^-1)

d. 108 g of Ag (M = 108 mol ^-1)

5. The wave number of the shortest wavelength transition in the Balmer series of atomic hydrogen is.

a. 27420 cm^-1

b. 28420 cm^-1

c. 29420 cm^-1

d. 12186 cm^-1

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