A body initially at rest and sliding along a frictionless track from a height \(h\) (as shown in the figure) just completes a vertical circle of diameter \(AB =D\) . The height \(h\) is equal to 

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe \(L\) metre long. The length of the open pipe will be 

A ball of mass \(0.15\, \mathrm{~kg}\) is dropped from a height \(10\, \mathrm{~m}\), strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is \(\left(\mathrm{g}=10 \,\mathrm{~m} / \mathrm{s}^{2}\right)\) nearly : (In \(\mathrm{kg}\, \mathrm{m} / \mathrm{s}\))

A parallel plate capacitor made of circular plates is being charged such that the surface charge density on its plates is increasing at a constant rate with time. The magnetic field arising due to displacement current is :

In a concave lens, a ray of light emanating from the object parallel to the principal axis of the lens, after refraction :

A \(12\,V,60\,W\) lamp is connected to the secondary of a step down transformer, whose primary is connected to ac mains of \(220\,V\). Assuming the transformer to be ideal, \(..........\,A\) is the current in the primary winding.

A body is executing simple harmonic motion with frequency \('n',\) the frequency of its potential energy is :

A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity \(4\,m s ^{-1}\). The ball strikes the water surface after \(4\,s\). The height of bridge above water surface is \(......\,m\) \(\left(\right.\) Take \(\left.g=10\,m s ^{-2}\right)\)

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 :

First discovered restriction endonuclease that always cuts \(DNA\) molecule at a particular point by recognising a specific sequence of six base pairs is

An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature \(27^{\circ} C\). The mass of the oxygen withdrawn from the cylinder is nearly equal to:
[Given, \(R=\frac{100}{12} J mol ^{-1} K^{-1}\), and molecular mass of \(O_2=32,1\) atm pressure \(=1.01 \times 10^5 N / m\)]

In-situ conservation refers to:

Which of the following acts as a circuit protection device?