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In deriving Bernoulli’s equation, we equated the work done on the fluid in the tube to its change in the potential and kinetic energy. (a) What is the largest average velocity of blood flow in an artery of diameter `2 × 10^(–3)` m if the flow must remain laminar ? (b) Do the dissipative forces become more important as the fluid velocity increases ? Discuss

asked Mar 19, 2022 in 11th Physics

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(a) What is the largest average velocity of blood flow in an artery of radius `2×10^(–3)`m if the flow must remain lanimar? (b) What is the corresponding flow rate ? (Take viscosity of blood to be 2.084 × 10–3 Pa

asked Mar 19, 2022 in 11th Physics

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In Millikan’s oil drop experiment, what is the terminal speed of an uncharged drop of radius 2.0 × 10–5 m and density `1.2 × 10^3` kg `m^(–3)`. Take the viscosity of air at the temperature of the experiment to be `1.8 × 10^(–5)` Pa s. How much is the viscous force on the drop at that speed ? Neglect buoyancy of the drop due to

asked Mar 19, 2022 in 11th Physics

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Mercury has an angle of contact equal to 140° with soda lime glass. A narrow tube of radius 1.00 mm made of this glass is dipped in a trough containing mercury. By what amount does the mercury dip down in the tube relative to the liquid surface outside ? Surface tension of mercury at the temperature of the experiment is 0.465 N `m^(–1)`. Density of mercury = `13.6 × 10^3` kg

asked Mar 19, 2022 in 11th Physics

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Two narrow bores of diameters 3.0 mm and 6.0 mm are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube ? Surface tension of water at the temperature of the experiment is `7.3 × 10^(–2)` N `m^(–1)`. Take the angle of contact to be zero and density of water to be `1.0 × 10^3` kg `m^(–3)` (g = 9.8 m

asked Mar 19, 2022 in 11th Physics

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(a) It is known that density ρ of air decreases with height y as `ρ = ρ_0e^((-y)/y_0)` where `ρ_0`= 1.25 kg `m^(–3)` is the density at sea level, and `y_0` is a constant. This density variation is called the law of atmospheres. Obtain this law assuming that the temperature of atmosphere remains a constant (isothermal conditions). Also assume that the value of g remains constant. (b) A large He balloon of volume 1425 `m^3` is used to lift a payload of 400 kg. Assume that the balloon maintains constant radius as it rises. How high does it rise ? [Take

asked Mar 19, 2022 in 11th Physics

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A structural steel rod has a radius of 10 mm and a length of 1.0 m. A 100 kN force stretches it along its length.Calculate (a) stress, (b) elongation, and (c) strain on the rod. Young’s modulus, of structural steel is `2.0 × 10^(11)` N

asked Mar 19, 2022 in 11th Physics

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A copper wire of length 2.2 m and a steel wire of length 1.6 m, both of diameter 3.0 mm, are connected end to end. When stretched by a load, the net elongation is found to be 0.70 mm. Obtain the load

asked Mar 19, 2022 in 11th Physics

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In a human pyramid in a circus, the entire weight of the balanced group is supported by the legs of a performer who is lying on his back (as shown in Fig). The combined mass of all the persons performing the act, and the tables, plaques etc. involved is 280 kg. The mass of the performer lying on his back at the bottom of the pyramid is 60 kg. Each thighbone (femur) of this performer has a length of 50 cm and an effective radius of 2.0 cm. Determine the amount by which each thighbone gets compressed under the extra

asked Mar 19, 2022 in 11th Physics

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A square lead slab of side 50cm and thickness 10 cm is subject to a shearing force (on its narrow face) of `9.0 ×10^4` N. The lower edge is riveted to the floor. How much will the upper edge be

asked Mar 19, 2022 in 11th Physics

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The average depth of Indian Ocean is about 3000 m. Calculate the fractional compression, ∆V/V, of water at the bottom of the ocean, given that the bulk modulus of water is `2.2 × 10^9` N `m^(–2)`. (Take g = 10 m

asked Mar 19, 2022 in 11th Physics

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A steel wire of length 4.7 m and cross-sectional area `3.0 × 10^(-5)` `m^2` stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of `4.0 × 10^(–5)` `m^2` under a given load. What is the ratio of the Young’s modulus of steel to that of

asked Mar 19, 2022 in 11th Physics

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Figure shows the strain-stress curve for a given material. What are (a) Young’s modulus and (b) approximate yield strength for this material?

asked Mar 19, 2022 in 11th Physics

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The stress-strain graphs for materials A and B are shown in Fig.. The graphs are drawn to the same scale. (a) Which of the materials has the greater Young’s modulus? (b) Which of the two is the stronger material?

asked Mar 19, 2022 in 11th Physics

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Read the following two statements below carefully and state, with reasons, if it is true or false. (a) The Young’s modulus of rubber is greater than that of steel; (b) The stretching of a coil is determined by its shear

asked Mar 19, 2022 in 11th Physics

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Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Fig.. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongations of the steel and the brass wires.

asked Mar 19, 2022 in 11th Physics

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The edge of an aluminium cube is 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. The shear modulus of aluminium is 25 GPa. What is the vertical deflection of this

asked Mar 19, 2022 in 11th Physics

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Four identical hollow cylindrical columns of mild steel support a big structure of mass 50,000 kg. The inner and outer radii of each column are 30 and 60 cm respectively. Assuming the load distribution to be uniform, calculate the compressional strain of each

asked Mar 19, 2022 in 11th Physics

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A piece of copper having a rectangular cross-section of 15.2 mm × 19.1 mm is pulled in tension with 44,500 N force, producing only elastic deformation. Calculate the resulting

asked Mar 19, 2022 in 11th Physics

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A steel cable with a radius of 1.5 cm supports a chairlift at a ski area. If the maximum stress is not to exceed 108 N `m^(–2)`, what is the maximum load the cable can support

asked Mar 19, 2022 in 11th Physics

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