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- A gaseous mixture is composed of equal number of moles of $\mathrm{CH}_{4}, \mathrm{C}_{2} \mathrm{H}_{5}$ and $\mathrm{C}_{2} \mathrm{H}_{2}$. The average molecular mass of mixture (in amu) is
- The density of a liquid is $1.2 \mathrm{~g} / \mathrm{mL}$. There are 35 drops in $2 \mathrm{~mL}$. The number of molecules in one drop
- Sulphur exist in different allotropic forms like $S_{2}, S_{6}$ and $S_{8}$ etc. If equal moles of these three forms are taken in separate containers, then the ratio of number of atoms present in them respectively is
- The minimum molar mass of a compound containing $3.2 \%$ oxygen by mass is
- An object of mass $100 \mathrm{~kg}$ is accelerated uniformly from a velocity of $5 \mathrm{~m} \mathrm{~s}^{-1}$ to $8 \mathrm{~m} \mathrm{~s}^{-1}$ in $6 \mathrm{~s}$. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object
- The displacement ' $x$ ' and time of travel 't' for a particle moving an a straight line are related as $t=$ $\sqrt{(x+1)(x-1)}$. Its acceleration at a time $t$ is
- A Carnot refrigerator extracts heat from water at $0^{\circ} \mathrm{C}$ and rejects it to room at $24.4^{\circ} \mathrm{C}$.
- A compound contain equal mosses of the elements $A, B$ and $C$ if the atomic weights of $A, B$ and $C$ are 20 . 40 and 60 respectively. The empirical formula of the compound is
- What is the number of moles of He in 104g of helium gas?
- Find the area of a triangle whose sides are $5 \mathrm{~cm}, 12 \mathrm{~cm}$ and $13 \mathrm{~cm}$.

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