A parallel plate capacitor with plate area \(A\) and plate separation \(d = 2\) m has a capacitance of \(4\mu F\). The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant \(K = 3\) (as shown in the figure) will be:
A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of \( 60^\circ \) by a force of 10 N parallel to the inclined surface. When the block is pushed up by 10 m along the inclined surface, the work done against frictional force is:
[Given: \( g = 10 \) m/s\( ^2 \), \( \mu_s = 0.1 \)]
If \( r \) and \( r' \) denote the angles inside the prism having angle of prism \( 50^\circ \), considering that during the interval of time from \( t = 0 \) to \( t = T \), \( r \) varies with time as \( r = 10^\circ + t^2 \). During this time \( r' \) will vary with time as
The variations of resistivity \( \rho \) with absolute temperature \( T \) for three different materials X, Y, and Z are shown in the graph below. Identify the materials X, Y, and Z.
The graph between variation of resistance of a wire as a function of its diameter keeping other parameters like length and temperature constant is
Which of the following graphs represent the variation of magnetic field \( B \) with perpendicular distance \( r \) from an infinitely long, straight conductor carrying current?
The anode voltage of a photocell is kept fixed. The frequency of the light falling on the cathode is gradually increased. Then the correct graph which shows the variation of photo current \( I \) with the frequency \( f \) of incident light is
Minerals are the naturally occurring, homogeneous inorganic solid substances. They are having a definite chemical composition and crystalline structure, hardness and color. For example, copper pyrite, calamine, etc.
Impurities in an ore are called gauge. The removal of a gauge from the ore is called concentration ore.
Several steps are involved in the extraction of pure metal from ores. Major steps are as follows –