For a particular sound wave propagating in air, a path difference between two points is 0.54 m which is equivalent to phase difference of (1.8 π)c. If the velocity of sound wave in air is 330 m/s, the frequency of this wave is
If ‘N’ is the number of turns in a circular coil, the value of its self-inductance varies as
Four identical condensers are connected in parallel and then in series equivalent capacitance in series to that in parallel combination is
A 4 kg mass and a 1 kg mass are moving with equal energies. The ratio of the magnitude of their linear momenta is
A metal disc of radius ‘R’ rotates with an angular velocity ‘ω’ about an axis perpendicular to its plane passing through its centre in a magnetic field of induction ‘B’ acting perpendicular to the plane of the disc. The induced e.m.f. between the rim and axis of the disc is (magnitude only)
Two coils P and S have a mutual inductance of 5 x 10-3 H. If the current in the coil, P is I = 10 sin (100 πt), then the maximum value of the e.m.f. induced in coil S is
A metal wire of density ‘ρ’ floats on water surface horizontally. If it is NOT to sink in water, then maximum radius of wire is (T = surface tension of water, g = gravitational acceleration)
A photon of energy ‘E’ ejects photoelectrons from a metal surface whose work function is W0. If this electron enters into uniform magnetic field of induction ‘B’ in a direction perpendicular to field and describes a circular path of radius‘r’, then radius is given by
An equation of a simple harmonic progressive wave is given by y = A sin (100πt-3x).The distance between two particles having a phase difference of \(\frac {π}{3}\) in metre is
Two satellites A and B rotate round a planet’s orbit having radius 4R and R respectively. If the speed of satellite A is 3 V then speed of satellite B is
Two thin lenses have a combined power of +9D. When they are separated by a distance of 20 cm, then their equivalent power becomes +27/5 D. Their individual power (in dioptre) is
In metre bridge experiment, null point is obtained at 20 cm from left end of the wire, when resistance X is balanced against another resistance Y (X < Y). To balance a resistance 4 X against Y, the new position of the null point from the same end will be
What is intensive property?
What is change in internal energy if a system gains xJ of heat and yJ work is done on it?
Air column in two identical tubes is vibrating. Tube A has one end closed and tube B has both ends open. Neglecting end correction, the ratio of the fundamental frequency of air column in tube A to that in tube B is
For a particle performing S.H.M. the equation $ \frac{d^2x}{dt^2} + \alpha x = 0 $. Then the time period of the motion will be:
Consider the following statements about interference of light. A – When crest of one wave coincides with crest of another wave at a point, this point is a point of destructive interference. B – Two coherent sources emit wave of same frequency with constant phase difference.Choose the correct option from the following.
Find resistance in a delta shape terminal.
A string is vibrating in its fifth overtone between two rigid supports 2.4 m apart. The distance between successive node and antinode is
Three isolated metal spheres A, B, C have radius R, 2R, 3R respectively, and same charge Q. UA, UB and UC be the energy density just outside the surface of the spheres. The relation between UA, UB and UC is
A condenser of capacity ‘C’ is charged to a potential difference of ‘V1’. The plates of the condenser are then connected to an ideal inductor of inductance ‘L’. The current through an inductor when the potential difference across the condenser reduces to ‘V2’ is
The coefficient of linear expansion of brass and steel rod are ‘α1’ and ‘α2’ respectively. Lengths of brass and steel rods are ‘l1’ and‘l2’ respectively. If (l2 - l1) is maintained same at all temperatures, which one of the following relation is correct?
The ratio of the speed of sound in helium gas to that in nitrogen gas at same temperature is (γHe = \(\frac {5}{3}\), γN2 = 4 , M N2 =28)
An electron jumps from the 4th orbit to the 2nd orbit of hydrogen atom. Given the Rydberg’s constant R = 107 m-1. The frequency in Hz of the emitted radiation is (c = 3x108 m/s)