What are the dimensions of a light year?
a) L
b) T
c) `LT^-1`
d) M

(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) .

If the dimensions of a physical quantity are given by M^(x) L^(y) T^(z) , then physical quantity may be

If discharge rate is given by V=(pi Pr^(4))/(8 mu l) then find out the dimensions of mu by taking velocity (v), time (T) and mass (M) as fundamental units.

If the dimension of a physical quantity are given by M^a L^b T^c, then the physical quantity will be

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are respectively :-

The velocity v of a particle at time t is given by v=at+b/(t+c) , where a, b and c are constants. The dimensions of a, b, c are 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 underset(a)overset(b)(int) ydx is M^(0)L^(2)T^(@)

The related equations are : Q=mc(T_(2)-T_(1)), l_(1)=l_(0)[1+alpha(T_(2)-T_(1))] and PV-nRT , where the symbols have their usual meanings. Find the dimension of (A) specific heat capacity (C) (B) coefficient of linear expansion (alpha) and (C) the gas constant (R).

Velocity of a particle at time t is given by v=at+(b)/(t+c)a,b , care constant. The dimension of a b, c will be ......