The external and internal diameters of a hollow cylinder are measured to be $(4.23 \pm 0.01) cm$ and $(3.89 \pm 0.01) cm$. The thickness of the wall of the cylinder is

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ANAND_YADAV Asked Jul 29, 2023

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To estimate ' $g$ ' (from $g=4 \pi^{2} \frac{L}{T^{2}}$ ), error in measurement of $L$ is $\pm 2 \%$ and error in measurement of $T$ is $\pm 3 \%$. The error in estimated ' $g$ ' will be -

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The respective number of significant figures for the numbers $23.023,0.0003$ and $2.1 \times 10^{-3}$ are

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An experiment measures quantities $x, y, z$ and then $t$ is calculated from the data as $t=\frac{x y^{2}}{z^{3}}$. If percentage errors in $x , y$ and $z$ are respectively $1 \%, 3 \%, 2 \%$, then percentage error in $t$ is :

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Compressibility factor (Z) for N2 at $-23^{\circ} C$ and 25 atm pressure is 1.2. Calculate moles of N2 gas required to fill a gas cylinder of 7 liter capacity under the given conditions :

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A student performs an experiment for determination of $g\left(=\frac{4 \pi^{2} \ell}{ T ^{2}}\right), \ell \approx 1 m$, and he commits an error of $\Delta \ell$.

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A vessel of volume $8.0 \times 10^{-3} m ^{3}$ contains an ideal gas at 300 K and 200 kPa. The gas is allowed to leak till the pressure falls to 125 kPa. Calculate the amount of the gas (in moles) leaked assuming that the temperature remains constant.

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61.25% (w/w) H2SO4 stock solution has a density of $1.6 g mL ^{-1}$. The molecular weight of H2SO4 is $98 g mol ^{-1}$. The volume $( mL )$ of stock solution required to prepare a 200 mL solution of 0.3 M H2SO4 is :

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For a saturated solution of AgCl at $25^{\circ} C, k =3.4 \times 10^{-6} ohm ^{-1} cm ^{-1}$ and that of $H _{2} O (\ell)$ used is $2.02 \times 10^{-6} ohm ^{-1} cm ^{-1}$.

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ALOK_RAJ Asked Aug 18, 2023

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An ideal gas undergoes a process in which $T=T_{0}+a V^{3}$; where $T_{0}$ and 'a' are positive constants and V is molar volume. The molar volume for which pressure will be minimum is

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A vessel of volume 2000 cm ^{3} contains 0.1 mol of oxygen and 0.2 mol of carbon dioxide. If the temperature of the mixture is 300 K, find its pressure.

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The density of water at $4^{\circ} C$ is $1 \times 10^{3} kg m ^{-3}$. Assuming no empty space to be present between water molecules, the volume occupied by one molecule of water is approximately :

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The reaction given below, involving the gases is observed to be first order with rate constant $7.48 \times 10^{-3} {sec}^{-1}$.

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The external and internal diameters of a hollow cylinder are measured to be $(4.23 \pm 0.01) cm$ and $(3.89 \pm 0.01) cm$. The thickness of the wall of the cylinder is

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