Physics
Properties of Matter
Previous Years Questions

## MCQ (More than One Correct Answer)

A bubble has surface tension $S$. The ideal gas inside the bubble has ratio of specific heats $\gamma=$ $\frac{5}{3}$. The bubble is exposed to the at...
An ideal gas of density $\rho=0.2 \mathrm{~kg} \mathrm{~m}^{-3}$ enters a chimney of height $h$ at the rate of $\alpha=$ \$0.8 \mathrm{~kg} \mathrm{~s}...
A cylindrical tube, with its base as shown in the figure, is filled with water. It is moving down with a constant acceleration a along a fixed incline...
As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (KMnO4) of different concentrat...
A cylindrical capillary tube of 0.2 mm radius is made by joining two capillaries T1 and T2 of different materials having water contact angles of 0$$^\... Consider a thin square plate floating on a viscous liquid in a large tank. The height$$h$$of the liquid in the tank is much less than the width of t... A uniform capillary tube of inner radius$$r$$is dipped vertically into a beaker filled with water. The water rises to a height$$h$$in the capillar... A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity. If P(r) is the pressure at r (r <... In plotting stress versus strain curves for two materials P and Q, a student by mistake puts strain on the y-axis and stress on the x-axis as shown in... Two spheres P and Q for equal radii have densities$$\rho$$1 and$$\rho$$2, respectively. The spheres are connected by a massless string and placed in... Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature of 0.5 kg water by 40 K. This h... A solid sphere of radius R and density$$\rho $$is attached to one end of a mass-less spring of force constant k. The other end of the spring is conn... A person blows into the open end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. When this pulse reaches the other en... A composite block is made of slabs A, B, C, D and E of different thermal conductivities (given in terms of a constant K) and sizes (given in terms of ... Two solid spheres A and B of equal volumes but of different densities dA and dB are connected by a string. They are fully immersed in a fluid of densi... ## Numerical A train with cross-sectional area St is moving with speed vt inside a long tunnel of cross-sectional area S0 (S0 = 4St). Assume that almost all the ai... A hot air balloon is carrying some passengers, and a few sandbags of mass 1 kg each so that its total mass is 480 kg. Its effective volume giving the ... A cubical solid aluminium (bulk modulus =$$ - V{{dP} \over {dV}} = 70GPa$$) block has an edge length of 1 m on the surface of the earth. It is kept o... When water is filled carefully in a glass, one can fill it to a height h above the rim of the glass due to the surface tension of water. To calculate ... A block of weight 100 N is suspended by copper and steel wires of same cross-sectional area 0.5 cm2 and length$$\sqrt 3 $$m and 1 m, respectively. T... A liquid at 30$$^\circ $$C is poured very slowly into a Calorimeter that is at temperature of 110$$^\circ $$C. The boiling temperature of the liquid i... Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures$${T_1} = 300\,K$$an... A drop of liquid of radius$$R = {10^{ - 2}}\,m$$having surface tension$$S = {{0.1} \over {4\pi }}N{m^{ - 1}}$$divides itself into$$K$$identical... Consider two solid spheres P and Q each of density 8 gm cm–3 and diameters 1 cm and 0.5 cm, respectively. Sphere P is dropped into a liquid of density... ## MCQ (Single Correct Answer) An open-ended U-tube of uniform cross-sectional area contains water (density 103 kg m−3 ). Initially the water level stands at 0.29 m from the bottom ... A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed in an insulated container. It ... A human body has a surface area of approximately$$1\,m{}^2.$$The normal body temperature is$$10K$$above the surrounding room temperature$${T...
A person in a lift is holding a water jar, which has a small hole at the lower end of its side. When the lift is at rest, the water jet coming out of ...
A glass capillary tube is of the shape of truncated cone with an apex angle $$\alpha$$ so that its two ends have cross sections of different radii. Wh...
If the piston is pushed at a speed of 5 mm s$$-$$1, the air comes out of the nozzle with a speed of
If the density of air is $$\rho$$a and that of the liquid $$\rho$$l, then for a given piston speed the rate (volume per unit time) at which the liquid...
One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius...
A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half-submerged state. If ...
When liquid medicine of density $$\rho$$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pre...
When liquid medicine of density $$\rho$$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pre...
When liquid medicine of density $$\rho$$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pre...
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