JEE Main | 2018Errors in measurementHard

Question

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1%, the maximum error in determining the density is :-

Options

A.

3.5 %

B.

4.5 %

C.

6 %

D.

2.5 %

Solution

Density =MassVolume
1∆dd=1∆MM+3∆LL
= 1.5 + 3(1)
= 4.5 %

Create a free account to view solution

View Solution Free
Topic: Errors in measurement·Practice all Errors in measurement questions

More Errors in measurement Questions

The period of oscillation of a simple pendulum is T = . Measured value of L is 20.0 cm known to 1 mm accuracy and time f...In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division $= 0...The circular divisions of shown screw gauge are 50. It moves 0.5 mm on main scale in one rotation. The diameter of the b...Diameter of a steel ball is measured using a vernier callipers which has divisions of 0.1 cm on its main scale(MS) and 1...To compare EMF of two cells using potentiometer the balancing lengths obtained are 200 cm and 150 cm . The least count o...