The dimension of `((1)/(2))epsilon_(0)E^(2)` (`epsilon_(0)` : permittivity of free space, E electric fieldA. (a) `MLT^(-1)`B. (b) `ML^(2)T^(2)`C. ( c ) `ML^(-1)T^(-2)`D. ( d ) `ML^(2)T^(-1)`

The dimension of `((1)/(2))epsilon_(0)E^(2)` (`epsilon_(0)` : permitti

1.	The dimension of `((1)/(2))epsilon_(0)E^(2)` (`epsilon_(0)` : permittivity of free space, E electric fieldA. (a) `MLT^(-1)`B. (b) `ML^(2)T^(2)`C. ( c ) `ML^(-1)T^(-2)`D. ( d ) `ML^(2)T^(-1)`
Answer» Correct Answer - C ( c ) Note : here `((1)/(2))epsilon_(0)E^(2)` represents energy per unit volume. `[epsilon_(0)][E^(2)] = ([En ergy])/([Volume]) = (ML^(2)T^(-2))/(L^(3)) = ML^(-1)T^(-2)`

Discussion

No Comment Found

Related InterviewSolutions

A student measures the time period of `100` ocillations of a simple pendulum four times. The data set is `90 s`, 91 s, 95 s, and 92 s`. If the minimum division in the measuring clock is `1 s`, then the reported men time should be:A. (a) `92 +- 1.8 s`B. (b) `92 +- 3 s`C. ( c ) `92 +- 2 s`D. ( d ) `92 +- 5.0 s`
in an experiment the angles are required to be using an instrument, `29` divisions of the main scale exactly coincide with the `30` divisions of the vernier scale. If the sallest division of the main scale is half- a degree `(= 0.5^(@)`, then the least count of the instrument is :A. (a) half minuteB. (b) one degreeC. ( c ) half degreeD. (d) one minute
In a screw gauge, the zero of mainscale coincides with fifth division of circular scale in figure (i). The circular division of screw gauge are `50`. It moves `0.5 mm` on main scale In one rotation. The diameter of the ball in figure (ii) is A. (a) `2.25mm`B. (b) `2.20mm`C. ( c ) `1.20mm`D. (d) `1.25mm`
A student performs an experiment an for determination of `g(=(4pi^(2)l)/(T^(2)))`. The error in length `l` is `Deltal` and in time `T` is `DeltaT and n` is number of times the reading is taken. The measurment of `g` is most accurate forA. (a) `Deltal = 5mm, Delta =0.2sec, n = 10`B. (b) `Deltal = 5mm, Delta =0.2sec, n = 20`C. ( c ) `Deltal = 5mm, Delta =0.1sec, n = 10`D. ( d ) `Deltal = 1mm, Delta =0.1sec, n = 50`
A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading : `58.5 degree` Vernier scale reading : `09` divisions Given that `1` division on main scale correspods 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:A. (a) `58.59 degree`B. (b) `58.77 degree`C. ( c ) `58.65 degree`D. (d) `59 degree`
There are two Vernier calipers both of which have `1cm` divided into `10` equal divisions on the main scale. The vernier scale of the calipers `( c_(1))` has `10` equal divisions that correspond to `9` main scale divisions. The Vernier scale of the other calipers `( C_(2))` has `10` equal divisions that correspond to `11` main scale divisions. the reading of the two calipers are shown in the figure. the measured values (in cm) by calipers `C_(1) and C_(2)` respectively, are A. (a) `2.85 and 2.82`B. (b) `2.87 and 2.83`C. ( c ) `2.87 and 2.86`D. (d) `2.87 and 2.87`
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. (a) `0.02mm`B. (b) `0.05mm`C. ( c ) `0.1mm`D. (d) `0.2mm`
The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between `5.10cm and 5.15cm` of the main scale. The Vernier scale has `50` divisions equivalent to `2.45 cm`. The `24^(th)` division of the Vernier scale exactly coincides with one of the main scale divisions. the diameter of the cylinder isA. (a) `5.112cm`B. (b) `5.124cm`C. ( c ) `5.136cm`D. (d ) `5.1148cm`
A wire of length `l = +- 0.06cm` and radius `r =0.5+-0.005 cm` and mass `m = +-0.003gm`. Maximum percentage error in density isA. (a) `4`B. (b) `2`C. ( c ) `1`D. (d) `6.8`
Write the dimensions of the following in terms of mass, time, length and charge (i) magnetic flux (ii) rigidity modulus

The dimension of `((1)/(2))epsilon_(0)E^(2)` (`epsilon_(0)` : permittivity of free space, E electric fieldA. (a) `MLT^(-1)`B. (b) `ML^(2)T^(2)`C. ( c ) `ML^(-1)T^(-2)`D. ( d ) `ML^(2)T^(-1)`

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment