Q.1 (a) Define the following terms:
i) Acceleration
ii) Angular velocity
iii) vector product of two vectors (iv)Derived physical quantity (v) Dimensions.
(b) Atone is thrown vertically downward with inital velocity of 14ms-1 from a height 30m. find the time it takes to strike the groound and the velocity with which it strikes.
Q.2 (a) write down the dimensions of the following physical
guantities :
(i) force (ii) energy (iii) momentum (iv)power (v) density.
write their units in SI units.
(b) if we have :A=3^i-2^j+^k B=4^i -6^k , c=-2^j=5^k find: (i) A-B (ii) A.B (iii)bxc (iv)A.(B*c) (v) the angle between A and B .
Q.3 (3) converrt the following :
(i) 720 rpm to rad.s-1 (ii)100erg to joules (iii) 5dyne to newton (iv) 720 km hr -1 to ms-1 .
(b) the velocity (v) of the transverse wave in stretched string depends on the tension (f) in the string , length (I) and its mass (m) .derive the physical relation of velocity using the dimensions method .
