Question
Physics Question on Electric charges and fields
Number of particles passing in unit time through unit area perpendicular to z-axis is given by N= D (N2 - N1)/(Z2 - Z1) , where N2 and N1 are number of particles in unit volume at Z2 and Z1. The dimensional formula of D is
A
(A) M0L-2T2
B
(B) M0L-1T-1
C
(C) M0L2T-1
D
(D) M0L-2T-2
Answer
(C) M0L2T-1
Explanation
Solution
Explanation:
Dimensional formula for number of particles per unit area per unit time is [M0L−2T−1]N1 and N2 are the number of the particles in unit volume. Dimensional formula for N1 is [M0L−3T0]Dimensional formula for z1 and z2 is [M0L1T0] Therefore, dimensional formula for D[D]=[N][Z1][N1][D]=[M0L−2T−1][L][M0L−3T0]=[M0L2T−1]