Related InterviewSolutions

• A vernier calipers has `1mm `marks on the main scale. It has `20` equal divisions on the Verier scale which match with `16` main scale divisions. For this Vernier calipers, the least count isA. 0.02 mmB. 0.05 mmC. 0.1 mmD. 0.2 mm
• A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading =58.5 degree Vernier scale reading =0.9 divisions Given that 1 divisions on main scale corresponds to 0.5 degree. Total divisions on the vernier scale is 30 and match with 29 divisions of the main scale. the angle of the prism from the above data is :A. `58.59^(@)`B. `58.77^(@)`C. `58.65^(@)`D. `59^(@)`
• In `u-v` method for finding the focal length of a concave mirror. The mirror is fixed at position `A` marked `20.0cm` on an optical bench and an object needle is placed at position `B` marked `45.0cm` on an optical banch. For no parallax between object needle and image needle the image needle at position `C 57.5cm` on optical bench. Then percentage error in the measurement of focal length of the mirror is
• A student performs an experiment for determination of ` g [ = ( 4 pi^(2) L)/(T^(2)) ] , L ~~ 1m` , and he commits an error of `Delta L`. For `T` he takes the time of `n` oscillations with the stop watch of least count ` Delta T` . For which of the following data , the measurement of `g` will be most accurate ?A. `DeltaL=0.5, DeltaT=0.1, n=20`B. `DeltaL=0.5, DeltaT=0.1, n=50`C. `DeltaL=0.5, DeltaT=0.01, n=20`D. `DeltaL=0.5, DeltaT=0.05, n=50`
• In determination of value of acceleration due to gravity (g) by simple pendulum, the time period is measured by a topwatch (L.C. = 0.5 second) and length of the thread is measured with metre scale (L.C. 0.1 cm) and diametre of bob is measured with vernier callipers (L.C. = 0.1 cm). The following observations are recorded : Length of the thread `=105.3 cm` Diameter of the bob `=2.45 cm` Time period `=2.07 s` Number of oscillations `=10` Calculate the value of g, estimate error and write the result in proper significant figures.
• A student uses a simple pendulum of exactly `1m` length to determine `g`, the acceleration due ti gravity. He uses a stop watch with the least count of `1sec` for this and record `40 seconds` for `20` oscillations for this observation, which of the following statement `(s) is (are)` true?A. Error `DeltaT` in measuring T, the time period, is 0.05 sB. Error `DeltaT` in measuring T, the time period is, 1 sC. Percentage error in the determination of g is 5%D. Percentage error in the determination of g is 2.5 %
• Student `I ,II , and III` perform an experiment for measuring the acceleration due to gravity `(g) ` usinf a simple pendulum. They use lengths of the pendulum and // or record time for different number of oscillations . The observations are shown in the following table . Least count for length ` = 0.1 cm` `{:(underset(III)underset(II)underset(I)underset()underset()("Student"),underset(20.0)underset(64.0)underset(64.0)underset((cm))underset("Pendulam")("Length of "),underset(4)underset(4)underset(8)underset((n))underset("n Oscillation")("Number of"),underset(9.0)underset(16.0)underset(16.0)underset((s))underset("Period")("Time")):}` Least count for time `= 0.1 s`. If `E_(I), E_(II)` , and `E_(III)` are the percentage errors in `g` , i.,e., `((Delta g)/( g) xx 100)` for students I,II , and III, respectively , thenA. `E_(I)=0`B. `E_(I)` is minimumC. `E_(I)=E_(II)`D. `E_(II)` is maximum
• A quantity X is given by `in_(0) L(DeltaV)/(Delta t)`, where `in_(0)` is the permittivity of free space, L is a length, `DeltaV` is a potential difference and `Delta t` is a time interval. The dimensional formula for X is the same as that of -
• The dimensions of `1/2 in_(0) E^(2)` (`in_(0)`: permittivity of free space, E: electric field) is-A. `[MLT^(-1)]`B. `[ML^(2)T^(-2)]`C. `[ML^(-1)T^(-2)]`D. `[ML^(2)T^(-1)]`
• The circular scale of a screw gauge has 50 divisions and pitch of 0.5 mm. Find the diameter of sphere. Main scale reading is 2. A. 1.2 mmB. 1.25 mmC. 2.20 mmD. 2.25 mm