EASY
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If the mass of a substance remains constant, then the density of the substance will increase with an increase in its volume.

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Important Questions on Some Basic Concepts of Chemistry

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Dimensional formula for thermal conductivity is (here K denotes the temperature):
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The temperature of an object is 60°C. Its value in Fahrenheit scale is

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A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it ?
HARD
The time period of a body undergoing simple harmonic motion is given by T=paDbSc, where p is the pressure, D is density and S is surface tension. The values of a,b and c respectively are
MEDIUM
A beaker contains a fluid of density ρkgm3 , specific heat SJkgoC and viscosity η . The beaker is filled up to height h. To estimate the rate of heat transfer per unit area Q˙A by convection when beaker is put on a hot plate, a student proposes that it should depend on η , SΔθh and 1ρg when Δθ ( inoC ) is the difference in the temperature between the bottom and top of the fluid. In that situation the correct option for Q˙A is:
MEDIUM
The angular diameter of a planet measured from earth is 90". If the diameter of the planet is π×106 m, then its distance from the earth is
HARD
A hot air balloon with a payload rises in the air. Assume that the balloon is spherical in shape with diameter of 11.7 m and the mass of the ballon and the payload (without the hot air inside) is 210 kg Temperature and pressure of outside air are 27°C and 1 atm =105 N/m2, respectively. Molar mass of dry air is 30 g. The temperature of the hot air inside is close to [The gas constant, R=831JK-1 mol-1 ]
 
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The nearest star to our solar system is 4.3 light years away. The distance of this star in Parsec is (Mean distance between the earth and the sun =1.5×1011 m and one light year =9.46×1015 m
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The number of significant figures in 50000.020×10-3 is                   
MEDIUM

Which two of the following quantities are dimensionally equivalent?

(i) Force
(ii) Pressure
(iii) Young's Modulus
(iv) Energy

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Using the rules for significant figures, the correct answer for the expression 0.02858×0.1120.5702 will be:
MEDIUM
Experimentally it was found that a metal oxide has formula M0.98O. Metal M is present as M2+ adn M3+ in its oxide. Fraction of the metal which exists as M3+ would be :
HARD
0.27 g of a long chain fatty acid was dissolved in 100 cm3 of hexane. 10 mL  of this solution was added dropwise to the surface of water in a round watch glass. Hexane evaporates and a monolayer is formed. The distance from edge to centre of the watch glass is 10 cm . What is the height of the monolayer?
[Density of fatty acid =0.9 g cm-3;π=3]