A brass boiler has a base area of `0.15 m^2` and thickness 1.0 cm. It boils water at the rate of 6.0 kg/min. When placed on a gas stove. Estimate the temperature of the part of the flame in contact with boiler. Thermal conductivity of brass ` = 109 j s^-1 m^-1 ^@C^-1`.

An inverted conical vessel whose height is 10 cm and the radisu of whse base is 5 cm is being filled with water at the uniform rate of 1.5 cu cm/m. Find the rate at which the level of water in the vessel is rising when the depth is 4 cm.

Water is running into a conical vessel, 15 cm deep and 5 cm in radius, at the rate of 0.1 cm^2 /sec . When the water is 6 cm deep, find at what rate is the water level rising?

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 7.3xx 10^-2 N m^-1 '. Take the angle of contact to be zero and density of water to be 1.0xx 10^3 kg m^- 3 ( g = 9.8 m s^-2 ) .

A straight conductor carries a current of 1.5 A and is 2 m long. is placed in a uniform magnetic field of 0.15 T Find the force on it, when it is perpendicular.

When a certain conductance cell was filled 0.1 mol L^-1 KCl, it has a resitance of 85 ohm and 25^@C . When the same cell was filled with an aqueous solution of 0.052 mol L^-1 of an electrolyte solution, the resistance was 96ohm . Calculate the molar conductivity of the electrolyte at this concentration. (conductivity of 0.1 mol L^-1 KCl solution is 1.29xx10^-2 S cm^-1 )

A small coil of radius 0.002 m is placed on the axis of a magnet of magnetic moment 10^(5) JT^(-1) and length 0.1 m at a distance of 0.15 m from the centre of the magnet. The plane of the coil is perpendicular to the axis of the magnet. Find the force on the when a current of 2.0 A is passed through it.

Calculate the electric field in a copper wire of cross-sectional area 2.0 mm^2 carrying a current of 1 A. The conductivity of copper = 6.25 xx 10^7 S m^-1

A coper block of mass 2.5 kg is heated in a furnace to a temperature of 500 ^@C and then placed on a large ice block. What is the maximum amount of ice that can melt? (specific heat of copper = 0.39 J g^-1 C^-1 , heat of fusion of watter = 335 J g^-1 ).