A cylinder of radius r made up of a material. Calculate the current through the cylinder.

A cylinder of radius r made up of a material 2k points) class-11; A solid sphere of radius R and made of a material of bulk modulus K is completely immersed in a liquid in a cylindrical container. the effective Correct Answer is:(c) k 1 + 3k 2 /4. 2. Jan 22, 2025 · Outer radius = b. If there is no loss of heat across the cylindrical surface and the system is in steady state, the effective A cylinder of radius `R` made of a material of thermal conductivity `K_(1)` is surrounded by cylindrical shell of inner radius `R` and outer radius `2R` made A transparent cylinder of radius R and height H made from a material of refractive index μ= 1. The cylinder has a permanent magnetization M0, uniform through-out its volume and parallel to its axis. 0 m. d All of them will reach the room temperature at the same time A parallel-sided slab is made of two different materials The upper half of the slab is made of material X, of thermal conductivity λ; the lower half is made of materiel Y,of thermal conductivity 2 λ. The two ends of the combined system A cylinder of radius r_i rotates at a speed \omega co-axially inside a fixed cylinder of radius r_o. Dec 19, 2001 · Consider a rectangular current loop, with sides s 1 and s 2, located in a uniform magnetic field, pointing along the z axis. Thermal conductivity of parallelepiped is 2K 3R 3R The A cylinder of radius R made of a material of thermal conductivity `K_1` is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity `K_2`. A cylinder of radius R made of a material of thermal conductivity k, is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity k 2. Heat is generated inside the cylinder at a rate S (energy per unit volume per unit time). Volume of a hollow cylinder= π(R 2 - r 2)h. The magnetic dipole moment of the current loop makes an angle θ with the z axis (see Figure A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their magnetic moment parallel to their respective axes. . A viscous fluid fills the space between the two cylinders. The cylinder is placed between two planes whose normals are along the y direction. The two ends of the combined system are maintained at A solid cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2 R made of a material of thermal conductivity K 2. When the bottle is placed upside A solid cylinder of radius R & length 3R is made of a material having density ρ. Mg / ABB. The thermal conductivity of the material of the inner cylinder is K 1 and that of the A cylinder of radius `R` made of a material of thermal conductivity `K_(1)` is surrounded by cylindrical shell of inner radius `R` and outer radius `2R` made of a material of A solid cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2 R made of material of thermal conductivity A Cylinder of radius R made of a material having thermal conductivity K is surrounded by a parallelepiped having inner hole of radius R and outer dimension of 3 Reach. Hint: In this problem, we need to convert this word problem into mathematical expression. is surrounded by a cylindrical sheet of inner radius R and outer radius 2R made of material of thermal conductivity k . Calculation: According to the question, 4/3πr 3 = π[b 2 - (b - a) 2]h. Using calculus, determine the dimensions that minimize the surface area (and hence cost) of the can. The 2 ends of combined system are maintained at two different temperatures. the effective thermal A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. Wire C and wire D are made from different materials and have lengths LC = LD = 4. there is no loss of heat across the cylindrical surface and the system is in steady state. a Circular plateB. (a) Determine the magnetic field H and magnetic induction B at all points on the axis of the cylinder, both inside and outside. Its resistivity depends on the distance x from the left end and obeys the formula rho(x) = a + b x^2, where a and b are constants. The center of the cylinder O lies along the y Q. m$$. 2 cm, a conical cavity of the same height and same diameter is hollowed out. For the inner and outer cylinders, thermal resistances are. 0$$ mm and length $$2. There is no loss of heat across the cylindrical surface and the system is in steady state. Determine the moment of inertia of this object about axis of A carpet of mass M made of inextensible material is rolled along its length in the form of a cylinder of radius R and kept along a rough floor. Find unilluminated area on the tabletop outside the cylinder. We consider a long co-axial hollow cylinder of radius r and thickness d r. 050 m, is given by J = Jo(r/R + r2/R2) where Jo = 4. A massless piston of area a floats on the surface of the liquid, covering the entire crosssection of the cyindrical container. Find the fractional change in the radius of the sphere (d R R), when a mass M is placed on the piston to compress the liquid. When this rod is heated by temperature T and simultaneously subjected to a net longitudinal compressional force F, its length remains unchanged. If such a cylinder to be made for a given mass of a material, the Mar 31, 2015 · A cylindrical can (with lid) is required to have a volume of 8000 cm3 . ⇒ h = 4r 3 /3a [2b - a] ∴ Required length is \(\frac A cylinder of radius R made of a material of thermal conductivity k 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2 R made of a material of thermal conductivity k 2. The two ends of the combined system are maintained A uniform cylindrical rod, of length L and radius r, is made from a material, whose Young’s modulus of Elasticity equals Y. A massless piston of area a floats on the surface of theliquid, covering entire cross section of cylindrical container. 1. A cylinder of radius R made of a material of thermal conductivity k_ {1} is surrounded by a cylindrical sheet of inner radius R and outer radius 2R made of material of thermal conductivity k_ {2}. Here, the sealed bottle containing some water made up of two cylinders of radius is given in the problem. If such a cylinder is to be A solid sphere of radius ‘R’ made of a material of bulk modulus B is surrounded by a liquid in a cylindrical container. A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. cm, find the volume of the cylinder. There is no loss of heat across the cylindrical surface and the system Sep 11, 2020 · Moment of inertia of a cylinder of mass M, length L and radius R about an axis passing through its centre and perpendicular to the axis of the cylinder is I = M \(=M(\frac{R^2}{4} + \frac{L^2}{12})\). A cylinder of radius R, made of a material of thermal conductivity k1, is surrounded by a cylindrical shell of inner radius R and outer radius 2R. They are placed in a uniform magnetic field in such a manner that their magnetic moments make a small angle with the field. Calculate the current through the cylinder. Radius of sphere = r. a) Find the electric field, inside and outside the cylinder. The cylinder rotates around its axis with angular velocity W. Assuming no loss of heat, the effective thermal conductivity of the system for heat flowing along the length of the cylinder is IIT JEE 1990: A carpet of mass M made of inextensible material is rolled along its length in the form of a cylinder of radius R and is kept on a rough. A cylindrical resistor of radius $$5. ⇒ 4/3r 3 = [2ab - a 2]h. Thetwo differenttemperatures. 2 A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. The two ends of the combined system are maintained at two different temperatures. asked Jul 23, 2019 in Physics by IdayaBasu (90. ⇒ 4/3πr 3 = π[b 2 - b 2 - a 2 + 2ab]h. Find the electric field inside the cylinder using the integral form of Gauß' law and show that the electric potential inside the cylinder can be A solid glass rod of radius r is placed inside a glass cylinder of internal radius R. Its A cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2 R made of a material of thermal conductivity K 2 . The decrease in the potential energy of the system, when the carpet is unrolled to a radius 2 r without sliding is (g = acceleration due to gravity) a. A cylinder is a radius R and is made of material of thermal conductivity K, whereas a cylindrical shell has inner radius R and outer radius 2 R and is made of material of A solid cylinder of radius R made of a material of thermal conductivity K1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K2. A floor-mat of mass M made up of extensible material, is rolled along its length so as to form a cylinder of radius R and kept on a rough horizontal surface. A cylinder of radius R made of a material of thermal conductivity k 1 is surrounded by a cylindrical sheet of inner radius R and outer radius 2 R made of material of thermal conductivity k 2. Find the ratio of the height to the The current density through a conducting cylinder of radius, R = 0. Three objects made of the same material are shown (a cube of side length 2r, a cylinder of radius r and height 2r, and a sphere of radius r). Neglecting conduction along the axis of the cylinder, find the steady-state temperature distribution in the cylinder, given that the surface 92. R1 = l/k1(πR2) and R2 = l/k2(4πR2 - πR2). A carpet of mass m made of inextensible material is rolled along its length in the form of a cylinder of radius r and kept on a rough floor. A cylinder of radius R made of material of thermal conductivity K1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K2 . Solutions for A cylinder of radius R, made of a material of thermalconductivity,is surrounded by a cylindrical shellof inner radius R and outer radius 2R. A cylinder of radius R and infinite length is made of a permanently polarized dielectric material P=ar, where a is a positive constant. Then there is no loss of heat across the cylindrical surface and the system is in steady state. R 1 = l/k 1 (πR 2) and R 2 = l/k 2 (4πR 2 - πR 2). The horizontal velocity of the axis of the cylindrical part of the carpet, when its radius is reduced to R 2 is :. When a mass M is placed on the pisten to compress the liquid, the fractional change in the radius of the sphere (δR / R) is. Sep 24, 2015 · I am a bit confused by this problem I have encountered: A right circular cylindrical container with a closed top is to be constructed with a fixed surface area. `3/4 MgR` An infinitely long cylinder of radius R is made of an unusual exotic material with refractive index –1 (Figure). the 2 ends of the combined system are maintained at A system consist of a cylinder surrounded by a cylindrical shell. `7/8MgR` C. Here’s the best way to solve it. But the magnetic moment of hoop is twice of solid cylinder. 5 \times 10^{-5}\, \Omega. Determine the velocity profile in the space between the cylinders and the shear stress on 2 days ago · The sum of the radius of base and height of a solid right circular cylinder is 37 cm. The rectangular base of the half cylinder is closed by a dielectric plate of length L and width 2R. c SphereD. The two ends of the combined system are Jan 03,2025 - A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. 25 ; A 1. There is no loss of heat across the cylindrical surface and the Jul 18, 2019 · A cylinder of radius R made of a material of thermal conductivity `K_1` is surrounded by a cylindrical shell of inner radius R and outer radius 2R mad. A cylinder of radius R made of a material of thermal conductivity `K_1` is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity `K_2`. Thickness = a. The inner cylinder has inside and outside radius of r_1 = 5cm and r_2 = 10 cm, respectively. a. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere, δ R/R is given by A 1. A hole of radius r1 is made centrally in a uniform circular disc of thickness d and radius r2. `1/2MgR` B. Find the ratio of the height to the Moment of inertia of a cylinder of mass M, length L and radius R about an axis passing through its centre and perpendicular to the axis of the cylinder is I=M R24+L212 . Sign up for JEE Main 2025 Live Classes - Vedantu. A charge Q on the half cylinder and a charge q on the dielectric plate are uniformly distributed. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere d r r, is: Question: A solid cylinder of radius R and length L is made from material with thermal conductivity k. Jan 22, 2025 · Figure \(\PageIndex{6}\): Spherical symmetry with non-uniform charge distribution. b) Find the magnetic field, inside and outside the cylinder. The two ends of the combined system are maintained at two different temperatures. 10 cm is made of a complicated mixture of materials. A cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K 2. If the mat is now unrolled, without sliding, to a radius `(R )/(2)`, the decrease in potential energy is A. Can you explain this answer? A cylinder of radius R, made of a material of thermalconductivity,is s The two conductors are thermally in parallel. 8 cm and diameter 4. The thermal conductivity of the material of the inner cylinder is K 1 and that of the outer cylinder is K 2. Concept used: Volume of a sphere = (4/3)πr 3. asked Dec 10, 2019 in Physics by A cylinder of radius R made of a material of thermal conductivity k, is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal Correct answer is option 'B'. If the cylinder has total charge Q, calculate the electric field for all radius. A cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of material of thermal conductivity K 2. the 2 ends of the combined system are maintained at 2 different tamperatures . Problem: A cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of material of thermal conductivity K 2. A cylinder of radius R made of a material of thermal conductivity K 1 , is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K 2 . JEE Main 2025 Helpline Numbers - Center Contact, Phone Number, Address A cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of material of thermal conductivity K 2. This glass rod is placed coaxially with the cylinder and in contact with the bottom of cylinder and perpendicular to the surface of liquid of density ρ in the glass Jan 12, 2022 · A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. `5/8MgR` D. The horizontal velocity of the axis of the cylindrical part of the carpet, when its radius is reduced to R 2 is : Jan 12, 2019 · A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2R. If the total surface area of the solid cylinder is 1628 sq. A half cylinder of radius R and length L >> R is formed by cutting a cylindrical pipe made of an insulating material along a plane containing its axis. A composite cylinder is made up of two materials. The two ends of the combined system are maintained I am a bit confused by this problem I have encountered: A right circular cylindrical container with a closed top is to be constructed with a fixed surface area. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere, d r/r isA. The shell is made of a material of thermal conductivity K 2 . If such a cylinder to be made for a given mass of a material, the Tardigrade; Question; Physics; A long cylindrical conductor of radius a and length l is made of a material whose resistivity depends only on the distance r from the axis of the conductor as ρ =(α /r2) , where α is a constant. A massless piston of area A floats on the surface of the liquid. The two ends of the combined system are A solid sphere of radius R made of a material of bulk modulus B is surrounded by a liquid in a cylindrical container. A hollow sphere of radius R, a hollow cube of side R and a thin circular plate of radius R, made up of the same material, are all heated to 20∘ C above room temperature. A massless piston of area a floats on the surface of the liquid, covering entire cross-section of cylindrical container. Jun 25, 2022 · A cylinder of radius R made of a material of thermal conductivity k . Q. (A) {(Mg) / (3KA)} A floor-mat of mass M made up of extensible material, is rolled along its length so as to form a cylinder of radius R and kept on a rough horizontal s asked Apr 19, 2022 in Physics by aryam ( 122k points) Q. In this type of problem, we need four radii: R is the radius of the charge distribution, r is the radius of the Gaussian surface, \(r'\) is the inner Jun 27, 2017 · A magnetically “hard” material is in the shape of a right circular cylinder of length L and radius a. Its thermal conductivity is k_1 = 75W/mK and a current of 10 A flows through it. A cylinder of radius R, made of a material of thermal conductivity K 1 , is surrounded by a cylindrical shell of inner radius R and outer radius 2 R. For an equivalent conductor of length l, radius 2R and thermal conductivity k, thermal resistance = lk(4πR 2) = R 1 R 2 /R 1 +R 2,as the inner and outer cylinders are effectively in parallel between the same temperature Q. A cylinder of radius R made of a material of thermal conductivity K 1 i s surrounded by a cylindrical shell of inner radius R and outer radius 2 R made of material of thermal conductivity K 2. A solid sphere of radius R made of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. For the inner and outer cylinders, thermal resistances are . 0$$ cm is made of a material that has a resistivity of $$3. The two ends of the combined system are maintained two different Correct Answer is: (c) k1 + 3k2/4. An infinitely long cylinder with radius R made of a linear dielectric material with electric susceptibility χe is placed in a uniform electric field E0 such that the axis of the cylinder is perpendicular to E0. b CubeC. ) Consider an infinitely long solid cylinder of radius R carrying a uniform charge density Po. At a particular instant of time, all three objects are at a temperature of 300 °C in an environment at A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container A massless piston of area a floats on the surface of the liquid covering the entire. At the left end, the resistivity is 2. The coefficient of volume expansion, of the material of the rod, is nearly equal to : Q. If there is no loss of heat across the cylindrical surface and the system is in steady state, the effective Moment of inertia of a cylinder of mass M, length L and radius R about an axis passing through its centre and perpendicular to the axis of the cylinder is I=M R24+L212 . Question From – Cengage BM Sharma WAVES AND THERMODYNAMICS ARCHIVES 1 VOLUME 6 JEE Main, JEE Advanced, NEET, KVPY, AIIMS, CBSE, RBSE, UP, MP, BIHAR BOARDQUES A solid cylinder of radius R and length L is made of an insulating material. In the steady state, the left hand face of the composite slab is at a higher, uniform temperature then the right-hand face, and the flow of heat through the slab is parallel to its shortest sides. The carpet starts unrolling without sliding on the floor when a negligibly small push is given to it. The thermal conductivity of the material of the inner cylinder is K 1 and that of the outer A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2R. Now two hemispheres each of radius R is removed from two ends of cylinder as shown in figure. Therefore, A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2 R. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of thesphere, (dr/r)is A cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2 R made of a material of thermal conductivity K 2 . There is no loss of heat across the cylindrical surface and the system is in a steady state. There is no loss of heat across the cylindrical surface and the system is in the steady state. 0 x 10^3 A/m^2. Ag 2 AB / MgD. Is the can more costly to Q. A cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2 R made of a material of thermal conductivity K 2 . There is no loss of heat across the cylindrical surface and the system is in steady-state. There is no loss of heat across the cylindrical surface and the system is A cylinder of radius R made of material of thermal conductivity K1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K2 . A solid cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and outer radius 2 R made of a material of thermal conductivity K 2 . There is no loss of heatacross the cylindrical surface and the system is insteady state. When left to cool in the room, which of them will reach the room temperature first?A. A. The shell ismade of a material of thermal conductivity. A long cylindrical conductor of radius a and length l is made of a material whose resistivity depends only on the distance r from the axis of the conductor as ρ =(α /r2) , where α is a constant. `("use " pi=22/7)` From a solid cylinder of height 2. 5 is placed on a horizontal tabletop and a point light source is placed at a height h above the centre of top circular face of the cylinder. (a) Find the electric potential everywhere. The inner surface (a cylinder a length d and radius r1) is maintained at a temperature θ 1 and the outer surface (a cylinder of length d and radius r2) is Question: 1. A massless piston of area ‘A’ floats on the surface of the liquid. There is no loss of heat across the cylindrical surface and the system is in The volume of sphere in liquid, V = 3 4 π r 3 When mass m is placed on the position, the increased pressure p = a m g since, this increased pressure is equally applicable to all directions on the sphere, so there will be decrease in Explanation: The system consists of a cylinder of radius R made of a material of thermal conductivity K1 surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K2. If area of cross-section of cylinder is a, then, \(\frac{dV}{V}=\frac{dP}{K}\) If area of cross-section of cylinder is a, then, Also, Equating equations (i) and (ii), \(\frac{dr}{r}=\frac{mg}{3Ka}\) ← Prev Question A carpet of mass M made of inextensible material is rolled along its length in the form of a cylinder of radius R and kept along a rough floor. M g/4 A B/M g/3 A B A cylinder of radius R made of a material of thermal conductivity K 1 is surrounded by a cylindrical shell of inner radius R and other radius 2R made of material of thermal conductivity K 2. 50 m cylinder of radius 1. Find the fractional decrease in the radius of the sphere Δ R / R , when a mass M is placed on the piston to compress the liquid. zedjwjq simpjij cmc agsq tstodo phlu pswke udruc xtmohqc qini