JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1
A torque meter is calibrated to reference standards of mass, length and time each with accuracy. After calibration, the measured torque with this torque meter will have net accuracy of :
- A15%
- B25%
- C75%
- D5%
View written solutionFree
Correct answer: B
- Write the dimensional formula of torque
Torque is
Since we get
So torque depends on:
- mass with power
- length with power
- time with power
- Use the rule for maximum percentage error
If a quantity then the maximum percentage error is
Here each reference standard of mass, length, and time has error.
Thus for torque:
- Calculate
- Final answer
Hence the net accuracy/error in measured torque is
So the correct option is B.
More from Units and Measurements
- The one division of main scale of Vernier callipers reads and 10 divisions of Vernier scale is equal to the 9 divisions on main scale. When the two jaws of the instrument touch each other, the zero of the Vernier lies to…2022 · Numerical
- An expression of energy density is given by , where are constants, is displacement, is Boltzmann constant and t is the temperature. The dimensions of …2022 · MCQ
- A silver wire has a mass (0.6 0.006) g, radius (0.5 0.005) mm and length (4 0.04) cm. The maximum percentage error in the measurement of its density will be :2022 · MCQ
- The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be :2022 · MCQ
- The dimensions of will be : (if : permeability of free space and : magnetic field)2022 · MCQ
- Consider the efficiency of carnot's engine is given by , where and are constants. If T is temperature, k is Boltzmann constant, is angular…2022 · MCQ
- In an experiment to find acceleration due to gravity (g) using simple pendulum, time period of is measured from time of 100 oscillation with a watch of resolution. If measured value of length is …2022 · Numerical
- Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as and respectively. Here m and n are constants. The relations for distance and time in two…2022 · MCQ