A Si and a Ge diode has identical physical dimensions. The band gap in Si is larger than that in Ge. On applying identical reverse bias across these diodes,

A uniform chain of length \(L\) is lying partly on a table, the remaining part hanging down from the edge of the table. If the coefficient of friction between the chain and the table is \(0.5\), what is the minimum length of the chain that should lie on the table, to prevent the chain from slipping down to the ground?

In an experiment to determine the period of a simple pendulum of length 100 cm , it is attached to different spherical bobs have uniform mass distribution. If the relative difference in the periods is found to be \(5 \times 10^{-4} \mathrm{~s}\), the difference in radii \(\left|r_1-r_2\right|\) is best given by

A monoatomic ideal gas, initially at temperature \(T_1\), is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \(T_2\) by releasing the piston suddenly. If \(L\) and \(2 L\) are the lengths of the gas column before and after expansion respectively, then \(\dfrac{T_1}{T_2}\) is

A repeater in TV transmission is

A semiconductor \(\mathrm{X}\) is made by doping silicon with phosphorous. A second semiconductor \(\mathrm{Y}\) is made by doping silicon with aluminium. The two are joined by a suitable technique to form a \(\mathrm{p}\)-\(\mathrm{n}\) junction and is connected to a battery such that \(\mathrm{Y}\) is joined to negative of the battery and \(\mathrm{X}\) to the positive of the battery. Which of the following statements is correct?

A proton is moving along negative X axis. If a uniform magnetic field is applied parallel to the positive Z axis, then choose the correct answer from the following options;
1. The proton will experience magnetic force along positive Y direction and will move along a circular path in the XY plane
2. The proton will experience magnetic force along negative Y direction and will move along a circular path in the XY plane
3. The proton will experience magnetic force along positive Y direction and will move along a circular path in the XZ plane
4. The proton will experience magnetic force along negative Y direction and will move along a circular path in the XZ plane

Which one of the following shows functional isomerism?

The pH at which an acid indicator with \(K_\alpha=1 \times 10^{-5}\) changes colour when the indicator concentration is \(1 \times 10^{-3} \mathrm{M}\) is

The sum of the degree and order of the following differential equation \(\left[1-\left(\dfrac{d y}{d x}\right)^2\right]^{\dfrac{3}{2}}=k x \dfrac{d^2 y}{d x^2}\)

A voltmeter of resistance \(1000 \Omega .0 .5 \mathrm{~V} /\) div is to be converted into a voltmeter to make it to read \(=1 \mathrm{~V} / \mathrm{div}\). The value of high resistance to be connected in series with it is

If \(\frac{3 x^{2}-2 x+4}{(x-1)^{6}}=\frac{A_{1}}{x+1}+\frac{A_{2}}{(x+1)^{2}}+\frac{A_{3}}{(x+1)^{3}}\) \(+\frac{A_{4}}{(x+1)^{4}}+\frac{A_{5}}{(x+1)^{5}}+\frac{A_{6}}{(x+1)^{6}}\), then \(\left(A_{1}+A_{2}+A_{2}-A_{4}-A_{6}\right)=\)

What is the potential difference between A and B in the above circuit element?