TS EAPCET (DEMO) PHYSICS UNITS & DIMENSIONS PAPER

The specific resistance $$\rho$$ of a circular wire of radius $$r$$. Resistance $$R$$ and and length $$l$$ is given by $$\rho=\frac{\pi r^{2} R}{l}$$ Given, $$r=(0.24 \pm 0.02) \mathrm{cm}, R=(30 \pm 1) \Omega$$ and $$l=(4.80 \pm 0.01) \mathrm{cm}$$. The percentage error in $$\rho$$ is nearly

A plate has a length $$(5 \pm 0.1) \mathrm{cm}$$ and breadth $$(2 \pm 0.01) \mathrm{cm}$$ Then the area of the plate is

A public park, in the form of a square, has an area of $$(100 \pm 0.2) \mathrm{m}^{2}$$. The side of park is

The percentage errors in the measurement of a mass and speed are $$2 \%$$ and $$3 \%$$ respectively. How much will be the maximum error in the estimate of kinetic energy obtained by measuring mass and speed?

A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate $$g$$, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are $$e_{1}$$ and $$e_{2}$$ respectively, the percentage error in the estimation of $$g$$ is

The mass and volume of a body are found to be $$500 \pm 0.05 \mathrm{~kg}$$ and $$1.00 \pm 0.05 \mathrm{~m}^{3}$$ respectively. Then the maximum possible percentage error in its density is

The resistance $$R=\frac{V}{I}$$ where $$V=100 \pm 5$$ volts and $$i=10 \pm 0.2$$ amperes. What is the total error in $$R$$

The radius of the sphere $$(4.3 \pm 0.1) \mathrm{cm}$$. The percentage error in its volume is

If $$x=a -b$$, then the maximum percentage error in the measurement of $$x$$ will be

The values of two resistors are $$R_{1}=(6 \pm 0.3) k \Omega$$ and $$R_{2}=(10 \pm 0.2) k \Omega$$. The percentage error in the equivalent resistance when they are connected in parallel is

The density of the material of a cube is measured by measuring its mass and length of its side. If the maximum errors in the measurement of mass and the length are $$3 \%$$ and $$2 \%$$ respectively. The maximum error in the measurement of density is

A physical quantity is represented by $$X=\mathrm{M}^{\alpha} \mathrm{L}^{b} \mathrm{~T}^{-c}$$. If percentage errors in the measurements of $$M, L$$ and $$T$$ are $$\alpha \%, \beta \%$$ and $$\gamma \%$$ respectively, then total, percentage error is

The measured mass and volume of a body are 23.42 g and $$4.9 \mathrm{~cm}^{3}$$ respectively with possible error 0.01 g and $$0.1 \mathrm{~cm}^{3}$$. The maximum error in density is nearly

A body travels uniformly a distance of The velocity of the body within error limits is

A physical quantity $$A$$ is related to four observables $$a b, c$$ and $$d$$ as follows
$$A=\frac{a^{2} b^{3}}{c \sqrt{d}}$$
The percentage errors of measurement in $$a, b c$$ and $$d$$ are $$1 \%, 3 \%, 2 \%$$ and $$2 \%$$ respectively. What is the percentage error in the quantity $$A$$ ?