A wheel having mass \(m\) has charges \(+q\) and \(-q\) on diametrically opposite points. It remains in equilibrium on a rough inclined plane in the presence of a vertical electric field \(E\). Then value of \(E\) is

A metal wire has mass \((0.4 \pm 0.002)\,g\), radius \((0.3 \pm 0.001)\,mm\) and length \((5 \pm 0.02) \,cm\). The maximum possible percentage error in the measurement of density will nearly be \(.......\%\)

A mass \(m\) is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when

Polar molecules are the molecules:

The minimum energy required to launch a satellite of mass \(m\) from the surface of earth of mass \(M\) and radius \(R\) in a circular orbit at an altitude of \(2 R\) from the surface of the earth is:

The ratio of resolving powers of an optical microscope for two wavelengths \(\lambda_1 = 4000\,\mathring A\) and \(\lambda_2 = 6000 \,\mathring A\) is

In the circuits shown below, the readings of the voltmeters and the ammeters will be

The distance covered by a particle undergoing \(SHM\) in one time period is (amplitude \(= A\))

Persons with \('AB'\) blood group are called as "Universal recipients". This is due to :

Nuclear envelope is a derivative of

The specific palindromic sequence which is recognized by \(EcoRI\) is :

The following solutions were prepared by dissolving \(10\, \mathrm{~g}\) of glucose \(\left(\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}\right)\) in \(250 \,\mathrm{ml}\) of water \(\left(\mathrm{P}_{1}\right)\), \(10\, \mathrm{~g}\) of urea \(\left(\mathrm{CH}_{4} \mathrm{~N}_{2} \mathrm{O}\right)\) in \(250\, \mathrm{ml}\) of water \(\left(\mathrm{P}_{2}\right)\) and \(10\, \mathrm{~g}\) of sucrose \(\left(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\right)\) in \(250\, \mathrm{ml}\) of water \(\left(\mathrm{P}_{3}\right)\). The right option for the decreasing order of osmotic pressure of these solutions is :

An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current \('I'\) along the same direction as shown in figure. Magnitude of force per unit length on the middle wire \('B'\) is given by