The excess pressure inside a soap bubble is twice the excess pressure inside a second soap bubble. The volume of the first bubble is n times the volume of the second where n is:
- A4
- B2
- C1
- ✓0.125.
Answer: D.
View full solution →Question types
Some Mechanical Properties of Matter question types
84 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
84
Questions
5
Question groups
5
Question types
01
M.C.Q (1 Marks)
33 Q→021 Marks Question
21 Q→032 Marks Questions
19 Q→043 Marks Question
7 Q→05Case study (4 Marks)
4 Q→Sample Questions
Some Mechanical Properties of Matter questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A wire can sustain the weight of 20kg before breaking. If the wire is cut into two equal parts, each part can sustain a weight of.
- A10kg
- ✓20kg
- C40kg
- D80kg.
Answer: B.
View full solution →A raindrop falls near the surface of the earth with almost uniform velocity because:
- AIts weight is negligible.
- BThe force of surface tension balances its weight.
- ✓The force of viscosity of air balances its weight.
- DThe drops are charged and atmospheric electric field balances its weight.
Answer: C.
View full solution →The viscous force acting between two layers of a liquid is given by $\frac{\text{F}}{\text{A}}=-\eta\frac{\text{dv}}{\text{dz}}$ This $\frac{\text{F}}{\text{A}}$ may be called:
- APressure.
- BLongitudinal stress.
- ✓Tangential stress.
- DVolume stress.
Answer: C.
View full solution →A piece of wood is taken deep inside a long column of water and released. It will move up:
- AWith a constant upward acceleration.
- ✓With a decreasing upward acceleration.
- CWith a deceleration.
- DWith a uniform velocity.
Answer: B.
View full solution →A 5.0cm long straight piece of thread is kept on the surface of water. Find the force with which the surface on one side of the thread pulls it. Surface tension of water = 0.076N/m.
The elastic limit of steel is $8 \times 10^8 \mathrm{~N} / \mathrm{m}^2$ and its Young's modulus $2 \times 10^{11} \mathrm{~N} / \mathrm{m}^2$. Find the maximum elongation of a half meter steel wire that can be given without exceeding the elastic limit.
View full solution →Two persons pull a rope towards themselves. Each person exerts a force of 100N on the rope. Find the Young's modulus of the material of the rope if it extends in length by 1cm. Original length of the rope = 2m and the area of cross-section $= 2cm^2$.
View full solution →Find the excess pressure inside:
- A drop of mercury of radius 2mm.
- A soap bubble of radius 4mm.
- An air bubble of radius 4mm formed inside a tank of water. Surface tension of mercury, soap solution and water are 0.465N/m, 0.03N/m and 0.076N/m respectively.
A vertical metal cylinder of radius 2cm and length 2m is fixed at the lower end and a load of 100kg is put on it. Find
View full solution →- The stress.
- The strain and.
- The compression of the cylinder. Young's modulus of the metal $= 2 × 10^{11}\ N/m^2$.
A copper wire of cross-sectional area $0.01cm^2$ is under a tension of 20N. Find the decrease in the cross-sectional area. Young's modulus of copper $= 1.1 × 10^{11}N/m^2$ and Poisson's ratio = 0.32.$\Big[$Hint: $\frac{\triangle\text{A}}{\text{A}}=2\frac{\triangle\text{r}}{\text{r}}\Big]$
View full solution →A barometer is constructed with its tube having radius 1.0mm. Assume that the surface of mercury in the tube is spherical in shape. If the atmospheric pressure is equal to 76cm of mercury, what will be the height raised in the barometer tube. The contact angle of mercury with glass $= 135^\circ$ and surface tension of mercury = 0.465N/m. Density of mercury $= 13600kg/m^3$.
View full solution →Two large glass plates are placed vertically and parallel to each other inside a tank of water with separation between the plates equal to 1mm. Find the rise of water in the space between the plates. Surface tension of water = 0.075N/m.
A wire forming a loop is dipped into soap solution and taken out so that a film of soap solution is formed. A loop of 6.28cm long thread is gently put on the film and the film is pricked with a needle inside the loop. The thread loop takes the shape of a circle. Find the tension in the thread. Surface tension of soap solution = 0.030N/m.
A uniform vertical tube of circular cross-section contains a liquid. The contact angle is $90^\circ$. Consider a diameter of the tube lying in the surface of the liquid. The surface to the right of this diameter pulls the surface on the left of it. What keeps the surface on the left in equilibrium?
View full solution →The force of surface tension acts tangentially to the surface whereas the force due to air pressure acts perpendicularly on the surface. How is then the force due to excess pressure inside a bubble balanced by the force due to the surface tension?
The two wires shown in are made of the,
same material which has a breaking stress of $8 \times 10^8N/m^2.$ The area of cross-section of the upper wire is $0.006cm^2$ and that of the lower wire is $0.003cm^2$. The mass $m_1 = 10kg, m_2= 20kg$ and the hanger is light:
View full solution →same material which has a breaking stress of $8 \times 10^8N/m^2.$ The area of cross-section of the upper wire is $0.006cm^2$ and that of the lower wire is $0.003cm^2$. The mass $m_1 = 10kg, m_2= 20kg$ and the hanger is light:
- Find the maximum load that can be put on the hanger without breaking a wire. Which wire will break first if the load is increased?
- Repeat the above part if $m_1 = 10kg$ and $m_2 = 36kg.$
Water near the bed of a deep river is quiet while that near the surface flows. Give reasons.
Estimate the change in the density of water in ocean at a depth of 400m below the surface. The density of water at the surface $= 1030kg/m^3$ and the bulk modulus of water $= 2 \times 10^9N/m^2.$
View full solution →A sphere of mass 20kg is suspended by a metal wire of unstretched length 4m and diameter 1mm. When in equilibrium, there is a clear gap of 2mm between the sphere and the floor. The sphere is gently pushed aside so that the wire makes an angle $\theta$ with the vertical and is released. Find the maximum value of $\theta$ so that the sphere does not rub the floor. Young's modulus of the metal of the wire is $ 2.0 \times 10^{11}N/m^2$. Make appropriate approximations.
View full solution →If a mosquito is dipped into water and released, it is not able to fly till it is dry again. Explain.
When a glass capillary tube is dipped at one end in water, water rises in the tube. The gravitational potential energy is thus increased. Is it a violation of conservation of energy?
When some wax is rubbed on a cloth, it becomes waterproof. Explain.
A steel blade placed gently on the surface of water floats on it. If the same blade is kept well inside the water, it sinks. Explain.
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