- Which state of matter is the most compressible?
- solid
- gas
- liquid
- all equal
Show answer
Answer: (B) gas
Gas molecules have a lot of empty space between them, so a gas can be squeezed smaller (LPG, CNG cylinders).
- In which state is the matter of the Sun and stars?
- solid
- liquid
- BEC
- plasma
Show answer
Answer: (D) plasma
At very high temperature atoms get ionised — this is the plasma state, the commonest in the universe.
- Under what condition does a Bose–Einstein condensate (BEC) form?
- very close to absolute zero
- at very high temperature
- at very high pressure
- at normal temperature in vacuum
Show answer
Answer: (A) very close to absolute zero
A BEC forms a few nanokelvin above absolute zero, when all the atoms drop into the same lowest-energy state.
- Which of these sublimes?
- salt
- sugar
- camphor
- wax
Show answer
Answer: (C) camphor
On heating, camphor turns straight into vapour without melting — that is sublimation.
- What kind of solid is glass?
- crystalline
- metallic
- amorphous
- ionic crystal
Show answer
Answer: (C) amorphous
Glass has irregular particles and no sharp melting point — it is called a supercooled liquid or amorphous solid.
- What is the unit of strain?
- no unit
- N/m
- J
- N/m²
Show answer
Answer: (A) no unit
Strain = change in shape ÷ original shape — a ratio, so it has no unit.
- Which is more elastic, rubber or steel?
- rubber
- cannot say
- both equal
- steel
Show answer
Answer: (D) steel
Steel’s Young’s modulus is far larger than rubber’s — it deforms less for the same force and returns more strongly, so it is more elastic.
- Which modulus of elasticity do liquids have?
- Young’s modulus
- bulk modulus
- rigidity modulus
- all three
Show answer
Answer: (B) bulk modulus
A liquid has no fixed shape, so it has only a bulk modulus.
- Up to which point on the stress–strain curve does Hooke’s law hold?
- up to the proportional limit
- up to the yield point
- up to fracture
- up to the ultimate strength
Show answer
Answer: (A) up to the proportional limit
Only the first straight part of the curve (up to the proportional limit) obeys Hooke’s law.
- If the length and the radius of a wire are both doubled, the extension under the same load becomes —
- double
- four times
- half
- the same
Show answer
Answer: (C) half
ΔL = FL/(πr²Y) → L doubles and r² becomes four times → ΔL becomes half.
- Springs are made of steel and not copper because —
- steel is cheaper
- steel has a larger Young’s modulus
- copper rusts
- steel is lighter
Show answer
Answer: (B) steel has a larger Young’s modulus
Steel is more elastic, so it stretches again and again and still returns properly.
- Which is the densest liquid?
- water
- kerosene
- glycerine
- mercury
Show answer
Answer: (D) mercury
The density of mercury is about 13,600 kg/m³ — 13.6 times that of water.
- Which instrument checks the purity of milk?
- hydrometer
- manometer
- barometer
- lactometer
Show answer
Answer: (D) lactometer
A lactometer measures the relative density of milk; adding water lowers it.
- Why is the wall of a dam made thicker at the bottom?
- for beauty
- water pressure increases with depth
- water is denser at the top
- to save soil
Show answer
Answer: (B) water pressure increases with depth
Fluid pressure P = hρg grows with depth, so the lower wall has to bear more pressure.
- Hydraulic brakes work on which law?
- Archimedes
- Bernoulli
- Pascal
- Hooke
Show answer
Answer: (C) Pascal
By Pascal’s law the pressure applied on the pedal travels through the enclosed liquid equally to all four wheels.
- In a hydraulic lift the small piston has area 5 cm² and the large one 250 cm². A 100 N push on the small one gives what force on the large one?
- 5000 N
- 2500 N
- 500 N
- 25000 N
Show answer
Answer: (A) 5000 N
F₂ = F₁ × A₂/A₁ = 100 × 250/5 = 5000 N.
- What is the atmospheric pressure at sea level, roughly?
- 76 mm of mercury
- 76 cm of mercury
- 7.6 m of mercury
- 760 cm of mercury
Show answer
Answer: (B) 76 cm of mercury
1 atm = a 76 cm (760 mm) mercury column = 1.013 × 10⁵ Pa.
- If the barometer reading suddenly falls a lot, it signals —
- clear weather
- no hailstorm
- cold
- a storm
Show answer
Answer: (D) a storm
A sudden big fall in pressure signals an approaching gale or cyclone; a slow fall signals rain.
- Why is mercury used in a barometer instead of water?
- mercury is very dense, so a short tube is enough
- mercury is cheap
- mercury is transparent
- mercury heats up quickly
Show answer
Answer: (A) mercury is very dense, so a short tube is enough
A water barometer needs a tube about 10.3 m long; a mercury one needs only 76 cm.
- The buoyant force does not depend on —
- density of the fluid
- volume dipped
- mass of the body
- g
Show answer
Answer: (C) mass of the body
F_B = Vρ(fluid)g — the body’s mass or material does not appear in it.
- A body weighs 60 N in air and 40 N in water. Its relative density?
- 1.5
- 2
- 3
- 6
Show answer
Answer: (C) 3
Relative density = weight in air ÷ loss of weight = 60 ÷ 20 = 3.
- An iron nail sinks in water but an iron ship floats, because —
- the ship displaces water equal to its own weight
- the iron of the ship is lighter
- sea water is warm
- the ship is painted
Show answer
Answer: (A) the ship displaces water equal to its own weight
Because of its hollow shape the ship displaces a huge amount of water, whose weight becomes equal to the ship’s weight.
- If an ice cube floating on water in a glass melts completely, the water level —
- rises
- falls
- first rises then falls
- stays the same
Show answer
Answer: (D) stays the same
Floating ice displaces water equal to its own weight; on melting it becomes exactly that much water, so the level does not change.
- When a ship comes from a river into the sea it —
- sinks deeper
- rises a little
- shows no change
- sinks
Show answer
Answer: (B) rises a little
Sea water is denser, so equal buoyancy comes from displacing less volume.
- Raindrops are round because of —
- surface tension
- viscosity
- gravity
- atmospheric pressure
Show answer
Answer: (A) surface tension
Surface tension shrinks the surface to the least area, and for a fixed volume a sphere has the least surface.
- On raising the temperature, the surface tension of a liquid —
- increases
- stays the same
- decreases
- first rises then falls
Show answer
Answer: (C) decreases
Higher temperature weakens molecular attraction, so surface tension falls and becomes zero at the critical temperature.
- Sprinkling kerosene on still water kills mosquito larvae because —
- the oil is poisonous
- surface tension falls
- the water gets hot
- viscosity rises
Show answer
Answer: (B) surface tension falls
The oil film lowers surface tension, so the larvae cannot stay at the surface and sink and die.
- Why is mercury pushed down in a glass capillary tube?
- angle of contact less than 90°
- mercury has zero viscosity
- mercury is light
- angle of contact more than 90°
Show answer
Answer: (D) angle of contact more than 90°
The angle of contact of mercury and glass is about 135°–140°; cohesion is more than adhesion, so mercury is pushed down and the meniscus is convex.
- If the radius of a capillary tube is halved, the rise of water becomes —
- half
- the same
- four times
- double
Show answer
Answer: (D) double
h = 2T cosθ/(rρg) — h ∝ 1/r, so halving the radius doubles the rise.
- On raising the temperature, the viscosity of gases —
- decreases
- increases
- does not change
- becomes zero
Show answer
Answer: (B) increases
Hot gas molecules move faster and share more momentum between layers, so a gas’s viscosity rises (a liquid’s falls).
- By Stokes’ law, the terminal velocity of a falling sphere is proportional to —
- r
- 1/r
- r²
- r³
Show answer
Answer: (C) r²
vₜ = 2r²(ρ − σ)g/9η — proportional to the square of the radius; that is why tiny cloud droplets fall very slowly.
- If the diameter of a pipe is halved, the velocity of water becomes —
- four times
- double
- half
- the same
Show answer
Answer: (A) four times
Equation of continuity A₁v₁ = A₂v₂: diameter half → area 1/4 → velocity 4 times.
- An aircraft wing lifts the plane by which principle?
- Pascal’s law
- Bernoulli’s principle
- Archimedes’ principle
- Hooke’s law
Show answer
Answer: (B) Bernoulli’s principle
Air flows faster over the wing, so the pressure there is lower; the higher pressure below pushes the wing up.
- With what velocity does water come out of a hole 20 m below the surface in a tank (g = 10)?
- 10 m/s
- 14 m/s
- 200 m/s
- 20 m/s
Show answer
Answer: (D) 20 m/s
Torricelli: v = √(2gh) = √(2 × 10 × 20) = √400 = 20 m/s.
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