Write difference between Mistake and Error.
mistake | error |
$(1)$ mistake iws caused due to carelessness wrong calculation , improper method of measurment. |
$(1)$ Error is caused due to imperfect design of measuring instrument , observation limitation of individuals |
$(2)$ by taking proper care the mistake can be sort out completely. | $(2)$ by taking more observation by using instrument having smaller least copunt error can be eliminated |
A body travels uniformly a distance of $ (13.8 \pm 0.2) m$ in a time $(4.0 \pm 0.3)\, s$. The velocity of the body within error limits is
In an experiment to find acceleration due to gravity $(g)$ using simple pendulum, time period of $0.5\,s$ is measured from time of $100$ oscillation with a watch of $1\;s$ resolution. If measured value of length is $10\; cm$ known to $1\; mm$ accuracy. The accuracy in the determination of $g$ is found to be $x \%$. The value of $x$ is
If there is a positive error of $50\%$ in the measurement of velocity of a body, then the error in the measurement of kinetic energy is .............. $\%$
Quantity $Z$ varies with $x$ and $y$ , according to given equation $Z = x^2y - xy^2$ , where $x = 3.0 \pm 0.1$ and $y = 2.0 \pm 0.1$ . The value of $Z$ is