If `A = B +(C)/(D+E)` the dimensions of B and C are `[M^(0)L T^(-1)]` and `[M^(0)LT^(0)]` , respectively . Find the dimensions of A, D and E.

(a) In the formula X=3YZ^(2) , X and Z have dimensions of capcitnce and magnetic inlduction, respectively. What are the dimensions of Y in MKSQ system? (b) A qunatity X is given by epsilon_(0) L ((Delta)V)/((Delta)r) , where epsilon_(0) is the permittivity of free space, L is a lenght, DeltaV is a potential difference and Deltat is a time interval. Find the dimensions of X . (c) If E,M,J and G denote energy , mass , angular momentum and gravitational constant, respectively. find dimensons of (E J^(2))/(M^(5) G^(2)) (d) If e,h,c and epsilon_(0) are electronic charge, Planck 's constant speed of light and permittivity of free space. Find the dimensions of (e^(2))/(2epsilon_(0)hc) .

In the dimension of a physical quantities are given by M^(0)L^(1)T^(0) , then the physical quantity will be

Suppose A=B^(n)C^(m) , where A has dimensions LT, B has dimensions L^(2)T^(-1) , and C has dimensions LT^(2) , Then the exponents n and m have the values: (A) 2//3,1//3 " " (B) 2,3 " " (C) 4//5,-1//5 " " (D) 1//5,3//5 (E) 1//2,1//2

If the dimensions of B^(2)l^(2)C are [M^(a)L^(b)T^(c)] , then the value of a+b+c is [Here B,l and C represent the magnitude of magnetic field, length and capacitance respectively]

Statement-I : If x and y are the distance along x and y axes respectively then the dimensions of (d^(3)y)/(dx^(3)) is M^(0)L^(-2) T^(@) Statement-II : Dimensions of int_(a)^(b) ydx is M^(0)L^(2)T^(@)

Find the dimensions of (A X (B + C)D) where A is mass, dimension of B is unknown, C is energy and D is dimension less constant:

The physical quanitity the dimensions [M^(-2)L^(-3)T^(0)A^(2)] is

In Fig.99, A B C D\ a n d\ E F is a transversal intersecting AB and CD at P and Q respectively. The measure of /_D P Q is (a) ( b ) (c) (d) (e) 100^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 80^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 110^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 70^(( q )0( r ))( s ) (t) (u)