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.
- 10kg
- 20kg
- 40kg
- 80kg.
Question types
Some Mechanical Properties of Matter question types
87 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
87
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5
Question groups
5
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M.C.Q (1 Marks)
36 Q→021 Marks Question
21 Q→032 Marks Questions
19 Q→043 Marks Question
7 Q→054 Marks Question
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.
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A raindrop falls near the surface of the earth with almost uniform velocity because:
- Its weight is negligible.
- The force of surface tension balances its weight.
- The force of viscosity of air balances its weight.
- The drops are charged and atmospheric electric field balances its weight.
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:
View full solution →- Pressure.
- Longitudinal stress.
- Tangential stress.
- Volume stress.
A piece of wood is taken deep inside a long column of water and released. It will move up:
- With a constant upward acceleration.
- With a decreasing upward acceleration.
- With a deceleration.
- With a uniform velocity.
An ice cube is suspended in vacuum in a gravity free hall. As the ice melts it.
- Will retain its cubical shape.
- Will change its shape to spherical.
- Will fall down on the floor of the hall.
- Will fly up.
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
- The stress.
- The strain and.
- The compression of the cylinder. Young's modulus of the metal = 2 × 1011 N/m2.
A steel rod of cross-sectional area 4cm2 and length 2m shrinks by 0.1cm as the temperature decreases in night. If the rod is clamped at both ends during the day hours, find the tension developed in it during night hours. Young's modulus of steel = 1.9 × 1011N/m2.
The elastic limit of steel is 8 × 108N/m2 and its Young's modulus 2 x 1011N/m2. Find the maximum elongation of a half meter steel wire that can be given without exceeding the elastic limit.
Find the increase in pressure required to decrease the volume of a water sample by 0.01%. Bulk modulus of water = 2.1 × 109N/m2.
A steel plate of face area 4cm2 and thickness 0.5cm is fixed rigidly at the lower surface. A tangential force of 10N is applied on the upper surface. Find the lateral displacement of the upper surface with respect to the lower surface. Rigidity modulus of steel = 8.4 × 1010N/m2.
A copper wire of cross-sectional area 0.01cm2 is under a tension of 20N. Find the decrease in the cross-sectional area. Young's modulus of copper = 1.1 × 10 11N/m2 and Poisson's ratio = 0.32.
View full solution →$\Big[$Hint: $\frac{\triangle\text{A}}{\text{A}}=2\frac{\triangle\text{r}}{\text{r}}\Big]$
In the upper wire is made of steel and the lower of copper. The wires have equal cross-section. Find the ratio of the longitudinal strains developed in the two wires.
A steel wire and a copper wire of equal length and equal cross-sectional area are joined end to end and the combination is subjected to a tension. Find the ratio of.
- The stresses developed in the two wires.
- The strains developed. Y of steel = 2 × 1011N/m2. Y of copper = 1.3 × 1011N/m2.
A uniform vertical tube of circular cross-section contains a liquid. The contact angle is 90º. 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?
If water in one flask and castor oil in other are violently shaken and kept on a table, which will come to rest earlier?
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/m3 and the bulk modulus of water = 2 × 109N/m2.
A steel wire of original length 1m and cross-sectional area 4.00mm2 is clamped at the two ends so that it lies horizontally and without tension. If a load of 2.16kg is suspended from the middle point of the wire, what would be its vertical depression? Y of the steel = 2.0 × 1011N/m2 Take g = 10m/s2.
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 × 1011N/m2. Make appropriate approximations.
View full solution →When a block of mass M is suspended by a long wire of length L, the elastic potential energy stored in the wire is $\frac{1}{2}\times$ stress × strain × volume. Show that it is equal to $\frac{1}{2}\text{Mgl}$ where l is the extension. The loss in gravitational potential energy of the Mass-earth sustem is Mgl. does the remaining $\frac{1}{2}\text{Mgl}$ energy go?
View full solution →The two wires shown in are made of the,
same material which has a breaking stress of 8 × 108N/m2. The area of cross-section of the upper wire is 0.006cm2 and that of the lower wire is 0.003cm2. The mass m1 = 10kg, m2 = 20kg and the hanger is light:
same material which has a breaking stress of 8 × 108N/m2. The area of cross-section of the upper wire is 0.006cm2 and that of the lower wire is 0.003cm2. The mass m1 = 10kg, m2 = 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 m1 = 10kg and m2 = 36kg.
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.
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.
If a mosquito is dipped into water and released, it is not able to fly till it is dry again. Explain.
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