Home
Class 11
PHYSICS
The density 'rho' of a piece of ...

The density `'rho'` of a piece of metal of mass 'm' and volume 'V' is given by the formula ` rho = m//V `. If ` m = 375.32 pm 0.01 g`, V = 136.41 ` pm 0.01 cm ^ 3 ` . Find the percentage error in the measurement of density `'rho'`.

Text Solution

Verified by Experts

` (Delta rho )/(rho ) = (Delta m ) /( m ) + ( Delta V ) /(V ) ` where ` rho = ( 375.32 ) /(136.41) = 2.751 g cm ^ ( -3 ) `
i.e., ` ( Delta rho ) /( rho ) = ( 0.01 ) /( 375.32 ) + ( 0.01)/ ( 136.41 ) = 0.0000996 `
` therefore Delta rho = 0.0000996 xx 2.751 = 0.00027 `
% error = ` ( Delta rho ) /( rho ) xx 100 = 0.00996 ~~ 0.010 % ` and ` rho 2.751 pm 0.003 `
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    SUBHASH PUBLICATION|Exercise TWO MARKS QUESTIONS WITH ANSWERS|20 Videos

  • THERMODYNAMICS

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|24 Videos

  • WAVES

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|46 Videos

Similar Questions

Explore conceptually related problems

The resistance R=V/I where V= (100 pm5)V and I= (10 pm 0.2)A . Find the percentage error in R.

In the determination of resistance R is calculated from R =V//I where V is the reading of the voltmeter and I is the reading of the ammeter. The values obtained are V = 10 pm 0.2 V and I = 0.5 pm 0.01 A. The maximum percentage error in the measurement of resistance is

The resistance R=V/I Where V = (100 p5) V and I=(10 pm0.2) . The percentage error in R is

If A = (12.0 pm 0.1) cm and B = (8.5 pm 0.5) cm find (i) A + B) (ii) A - B

Define molar volume (V_(m))

50 ml of 0.1 M HCl and 50 ml of 0.2 M NaOH are mixed. The pH of the resulting solution is :

The kinetic gas equation for 'N' number of molecues in volume V having mass m and root mean square velocity mu is :

If a 0.1 M solution of HCN is 0.01 % ionised , the K_(a) for HCN is :

At what speed is a particle moving if the mass is equal to three times its rest mass. Data m=3m_(0) , v = ?