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1.

The mass of a body `=(100pm2%)ms^(-2)` kg and the volume of the body `=(10pm3%)m^(3)` What is the (i) percentage error in density, (ii) absolute error in denstiy?

Answer» Correct Answer - (i)`pm5%`, (ii) `pm0.5"kg m"^(-3)`
2.

A body is moving at speed of `0.3m//s`. To measure its speed with an accuracy of about `1%` using a sampling distance 3 mm, find the least count that the measuring clock must have.

Answer» Correct Answer - `10^(-4)s`
3.

The modulus of rigidity of a wire is given by the formula `W_(g)=(npir^(4)theta)/(2l)`. Which of these quantities should be measured very accurately and why?

Answer» Correct Answer - r, because its power is the highest in the expression
4.

Calculate the volume of a sphere of radius `(3.0pm0.1)` cm, if the error quoted is the standard deviation in the measurement. [Hint: `V=(4pi)/(3)r^(3),((deltaV)/(V))^(2)=3^(2)xx((deltar)/(r))^(2)`]

Answer» Correct Answer - `(113pm11)cm^(3)`
5.

In a simple pendulum `l=(100.0pm0.5)` cm and `t=(2.00pm0.01)` sec. What is the percentage error in g?

Answer» Correct Answer - `pm1.5%`
6.

A physical quantity P is related to four observables a, b, c and d as `P=a^(3)b^(2)//sqrtcd`. The percentage errors in the measurements of a, b, c and d are `1%, 3% 4%` and `2%` respectively. What is the percentage error in the quantity P? If the value of P calculated using this formula turns out to be `3.763`, to what value should you round off the result?

Answer» Correct Answer - `13%,3.8`