If the air-core medium is replaced by a dielectric of dielectric constant \(k\) in an air-core parallel plate capacitor of capacitance \(C\), its new capacitance becomes
A wire of length 0.5 m carrying current 4 A is placed perpendicular to a magnetic field of 0.2 T. The force exerted on the wire is
An AC circuit with \(R=2\pi^2\,\Omega\) and \(L=0.02\pi\) H powered with an a.c. source of frequency 50 Hz has an impedance of
Carnot engine operates between temperatures, 600 K and 300 K. If it absorbs 1200 J of heat from source, the work done by the engine is
Hydrostatic pressure at a depth of a liquid in a container depends on
The terminal velocity of a small steel ball of radius \(r\) falling in a fluid is proportional to
The angular speed of a geostationary satellite (in rad h\(^{-1}\)) is
The temperature at which the rms speed of oxygen molecules becomes equal to the rms speed of hydrogen molecules at 300 K is
If a bar magnet of magnetic moment \(M\) is cut into two equal parts perpendicular to its length then its new magnetic moment is
Electric flux through a closed surface depends on the
If a current of 2 A flows through a wire of length 1 m for 1 min, the charge flowing through it during this time is
If the length of a uniform metallic wire is halved and its radius is doubled, its resistivity is
If the binding energy per nucleon of a nucleus is 8.75 MeV and its mass number is 56, then total binding energy is
In a pure semiconductor at thermal equilibrium
Pick out the wrong statement about Bohr atom model
The displacement of a particle is given by where \(t\) has dimensions \(T\) and \(a\) and \(b\) are constants. The dimensions of \(b\) are: