Mechanical Prop...

The increase in the length of a wire on stretching is 0.025%. If its Poisson's ratio is 0.4, what is the percentage decrease in its diameter?

A steel wire of cross-sectional area 3 × 10^–6 m² can withstand a maximum strain of 10^–3. Young's modulus of steel is 2 × 10¹¹ Nm^–2. The maximum mass the steel wire can hold is (Take g = 10 ms^–2)

The increase in pressure (in kPa) required to decrease 200 litres volume of a liquid by 0.004% is (Bulk modulus of the liquid = 2100 MPa)

There is no change in the volume of a wire due to the change in its length on stretching. The Poisson's ratio of material of wire is

A wire elongates by l mm when a load 'W' is hanged from it. If the wire goes over a pulley and two weights of 'W' each are hung at the two ends, the elongation of the wire will be (in mm)

A wire can be broken by applying a load of 200 N. The force required to break another wire of the same length and the same material, but double in diameter, is

Two wires of the same length and made of the same material, but having radii in the ratio 1 : 2 are stretched by two unequal forces to produce equal elongation. What is the ratio of the two forces?

The following question has four choices out of which ONLY ONE is correct.

Which of the following is not a unit of Young's modulus?

When a long spring is stretched by 2 cm, its potential energy is U. If the spring is stretched by 10 cm, its potential energy will be

A body of mass 10 kg is attached to a 0.3 m long wire. Its breaking stress is 4.8 × 10⁷ N/m². The area of cross-section of wire is 10^-6 m². What is the maximum angular velocity with which it can be rotated in a horizontal circle?

A student performs an experiment to determine the Young's modulus of a wire exactly 2 m long by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be 0.8 mm with an uncertainty of ± 0.05 mm at a load of exactly 1.0 kg. The student also measures the diameter of the wire to be 0.4 mm with an uncertainty of ± 0.01 mm. Take g = 9.8 m/s² (exact). The Young's modulus obtained from the reading is

A spinner swings a cricket ball due to

A wire of length 2 m is made from 10 cc of copper. A force F is applied so that its length increases by 2 mm. Another wire of length 8 m is made from the same volume of copper. If the force F is applied to it, its length will increase by

Which of the following is the most elastic?