Related InterviewSolutions

• Statement-I : When an algebraic equation has been derved, it is advisable to check it for dimensional consistency. Statement-II : This guarantee that the equation is correct.A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true.
• The method of dimensional analysis can be used to derive which of the following relations?A. `N_(0) e^(-lambdat)`B. `A sin (omega t+kx)`C. `1/2 mv^(2)+1/2 Iomega^(2)`D. None of these
• 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^(@)`A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true.
• L, C and R represent the physical quantities inductance, capacitance and resistance respectively. The combinations which have the dimensions of frequency are-A. `1/(RC)`B. `R/L`C. `1/(LC)`D. `C/L`
• Statement-I : Force cannot be added to pressure. Statement-II : Becausee their dimensions are different.A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true.
• A dimensionless quantityA. Never has unitB. Always has a unitC. May have a unitD. Does not exist
• Match the physical quantities given on column I with dimensions expressed in terms of mass (M) length (L) time (T), and charge (Q) given in column II and write the correct answer against the matched quantity in a tabular form in your answer book. `{:("Column-I",,"Column-II"),("Angular momentum",,[ML^(2)T^(-2)]),("Latent heat",,[ML^(2)Q^(-2)]),("Torque",,[ML^(2)T^(-1)]),("Capacitance",,[ML^(3)T^(-1)Q^(-2)]),("Inductance",,[M^(-1)L^(-2)T^(2)Q^(2)]),("Resistivity",,[L^(2)T^(-2)]):}`
• Discuss whether or not , angular displacement is a vector quantity ?`A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true.
• A physical quantity x can dimensionally represented in terms of M, L and T that is `x=M^(a) L^(b) T^(c)`. The quantity time-A. May be dimensionally represented in terms of x, M and L if `c ne 0`B. May be dimensionally represented in terms of x, M and L if `c=0`C. May be dimensionally represented in terms of x, M and L, irrespective of value of cD. Can never be dimensionally represented in terms of x, M and L
• Statement-I : If the initial and final positions coincide, the displacement is a null vector. Statement-II : A physical quantity can not be called a vector, if its magnitude is zero.A. Statement-I is true, Statement-II is true, Statement-II is correct explanation for statement-IB. Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for statement-IC. Statement-I is true, Statement-II is false.D. Statement-I is false and Statement-II is true.