Properties of Matter – JEE Main 2026 Quiz

Q1. Young’s modulus of the material of wires A and B are in the ratio 1:4, while their areas of cross-section are in the ratio 1:3. If the same load is applied to both the wires and their lengths are equal, then the ratio of elongations produced in wires A and B is:

Q2. If the average depth of an ocean is 4000 m and the bulk modulus of water is 2 × 10⁹ N m⁻², then the fractional compression (ΔV/V) of water at the bottom of the ocean is α × 10⁻². Find α.

Q3. Small water droplets of radius 0.01 mm are formed in the upper atmosphere and fall with a terminal velocity of 10 cm/s. If 8 such droplets coalesce to form a larger drop, the new terminal velocity will be ____ cm/s.

Q4. Two soap bubbles of radii 2 cm and 4 cm are in contact with each other. The radius of curvature of the common surface in cm is:

Q5. Two metallic wires P and Q of the same material and same volume have cross-sectional areas in the ratio 4:1. A force F₁ produces an extension Δl in wire P. The force required to produce the same extension in wire Q is F₂. The value of F₁/F₂ is:

Q6. The excess pressure inside a soap bubble A is half the excess pressure inside another soap bubble B. If the volume of bubble A is n times the volume of bubble B, find n.

Q7. The length of a light string is 1.4 m when the tension is 5 N. When the tension is increased to 7 N, its length becomes 1.56 m. The original length of the string is ____ m.

Q8. The increase in pressure required to decrease the volume of a water sample by 0.2% is P × 10⁵ N m⁻². If the bulk modulus of water is 2.15 × 10⁹ N m⁻², find P.

Q9. A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of cross-section of the cylinder carrying the load is 250 cm². Assuming g = 10 m/s², the maximum pressure the smaller piston must bear is:

Q10. An air bubble of radius 1.0 mm is present in a liquid of surface tension 0.075 N m⁻¹ and density 1000 kg m⁻³ at a depth of 10 cm below the free surface. Find the excess pressure inside the bubble over atmospheric pressure (g = 10 m/s²).