Home
Class 12
PHYSICS
If measured value of resistance R = 1.05...

If measured value of resistance `R = 1.05Omega` wire diameter `d = 0.60 mm` and length `l = 75.3 cm` If maximum error in resistance measurment is `0.01 Omega` and least count of diameter and length measuring device are `0.01 mm` and `0.1cm` respectively then find max permissible error in resistiviry `rho=(R((pid^(2))/(4)))/(l)` .

Text Solution

Verified by Experts

`((Deltarho)/(rho))_(max)=(DeltaR)/(R)+2(Deltad)/(d)+(Deltal)/(l)`
`DeltaR = 0.01 Omega`
`Deltad = 0.01 mm` (least count)
`Deltal = 0.1 cm` (least count)
`((Deltarho)/(rho))_(max)=((0.01Omega)/(1.05Omega)+2(0.01mm)/(0.60mm)+(0.1cm)/(75.3cm))xx100=4.3%` .
Promotional Banner

Topper's Solved these Questions

  • EXPERIMENTAL PHYSICS

    RESONANCE|Exercise Exercise|12 Videos
  • EXPERIMENTAL PHYSICS

    RESONANCE|Exercise Exercise -1 PART|1 Videos
  • ELECTROSTATICS

    RESONANCE|Exercise HLP|39 Videos
  • GEOMATRICAL OPTICS

    RESONANCE|Exercise Advance level Problems|35 Videos

Similar Questions

Explore conceptually related problems

If the measured value of resistance R = 1.05 Omega , wire diameter d = 0.60 mm , and length l = 75.3 cm , then find the maximum permissible error in resistivity , rho = ( R ( pi d^(2) // 4)) /( l) .

In ohm's law experiment potential drop across a resistance was measured as v = 5.0 volt and current was measured as I = 2.0amp If least count of the volmeter and ammeter are 0.1V and 0.01A respectively then find the maximum permissible error in resistance .

The length of a rectangular plate is measured by a meter scale and is found to be 10.0 cm . Its width is measured by vernier callipers as 1.00 cm . The least count of the meter scale and vernier calipers are 0.1 cm and 0.01 cm respectively. Maximum permissibe error in area measurement is.

The relative error in resistivity of a material where resistance = 1.05 + 0.01 W diameter = 0.60 + 0.01 mm length = 75.3 + 0.1 cm is

A wire has a mass 0.3+-0.003g , radius 0.5+-0.005mm and length 6+-0.06cm . The maximum percentage error in the measurement of its density is

A wire has a mass 0.4 +- 0.004g and length 8 +- 0.08(cm) The maximum percentage error in the measurement of it density is 4% The radius of the wire is r +- Delta r find Delta r

The least count of a screw gauge is 0.005 cm . The diameter of wire is 0.002 cm as measured by it. The perecentage error in measurement is

In the experiment of Ohm's law, when potential difference of 10.0 V is applied, current measured is 1.00 A. If length of wire is found to be 10.0cm and diameter of wire 2.50 mm, then find maximum permissible percentage error in resistivity.