A student writes escape velocity as Ve =√(GM/R^2). The equation is- (1) Dimensionally incorrect (2) Dimensionally correct (3) Numerically correct (4) Both (1) and (3)

Dear Student,

According to the question,Ve=GMR2Dimension of Ve=M0L1T-1Dimension of G=M-1L3T-2Dimension of M=M1L0T0Dimension of R=M0L1T0M0L1T-1=M-1L3T-2×M1L0T0M0L1T0212M0L1T-1=M-1L3T-2×M1L0T0M0L2T012M0L1T-1=M-1+1-0L3+0-2T-2+0-012M0L1T-1=M0L1T-212M0L1T-1=M0L12T-1L.H.SR.H.SHence, option (1) is correct.

  • 7
What are you looking for?