Related InterviewSolutions

• Let `[epsilon_(0)]` denote the dimensional formula of the permittivity of the vacuum, and `[mu_(0)]` that of the permeability of the vacuum. If `M = mass ,L = length, T = time and I = electric current`,A. `[epsilon_(0)]=[M^(-1)L^(-3)T^(2)l]`B. `[epsilon_(0)]=[M^(-1)L^(-3)T^(4)l^(2)]`C. `[mu_(0)]=[MLT^(-2)l^(-2)]`D. `[mu_(0)]=[ML^(2)T^(-1)l]`
• In an experiment to determine the acceleration due to gravity `g`, the formula used for the time period of a periodic motion is `T = 2pisqrt((7(R - r)/(5g)`. The values of `R and r` are measured to be `(60 +- 1)mm and (10 +- 1)mm`, repectively. In five successive measurment, the time period is found to be `0.52s, 0.56s,0.57s,0.54s and 0.59s`. the least count of the watch used for the measurement of time period is `0.01s`. Which of the following satement `(s)` is `(are)` true?A. The error in the measurement of `r` is `10%`B. The error in the measurement of `T` is `3.57%`C. The error in the measurement of `T` is `2%`D. The error in the determined value of `g` is `11%`
• What is the reading of verneir scale shown in figure? A. `54.6mm`B. `53.2mm`C. `52.7mm`D. `54.7mm`
• In an experiment refractive index of glass was observed to be 1.45, 1.56, 1.54, 1.44, 1.54 and 1.53. The mean absolute error in the experiement isA. `+-0.04`B. `0.02`C. `-0.03`D. `+-0.01`
• The value of the following expression `hati.(hatjxxhatk)+j.(hatixxhatk)+hatk.(hatjxxhati)`is
• The vector `hati+xhatj+3hatk` is rotated through an angle `theta` and doubled in magnitude then it becomes `4hati+(4x-2)hatj+2hatk`. The values of `x` areA. `-2/3`B. `1/3`C. `2/3`D. `2`
• A plane is inclined at an angle `30^(@)` with horizontal. The component of a vector `vec(A)= -10k` perpendicular to this plane is: (here z-direction is vertically upwards)A. `5sqrt(2)`B. `5sqrt(3)`eC. `5`D. `2.5`
• In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units, then the dimensional formula of energy isA. `FA^(2)T`B. `FAT^(2)`C. `FA^(2)T^(3)`D. `FAT`
• If by mistake Ammeter is connected parallel to the resistance then `i-V` curve expected is (Here `i`= reading of ammeter, `V=` reading of voltmeter) A. B. C. D.
• The length of a wire is measured with a metre scale having least count `1mm`. Its diameter is measued with a vernier calipers of least count `0.1mm`. Given that length and diameter of the wire are measured as `5cm` and `4mm`, the percentage error in the calculated value of volume of the wire will beA. 0.03B. 0.05C. 0.07D. 0.02