A thermally insulated aluminium wire is used as a resistance in a circuit. The cross-sectional area of the wire is 0.8 mm2 and the length of the wire is 2 m. If a current of 2 A is set through the resistance and the wire is at 25oC initially, for how much time does the resistance sustain this current before melting?
(Melting point of Aluminium = 660oC, Specific resistance of Al = 2.6 x 10-8 Ωm, density of Al = 2.70 g/cm3 and specific heat of Al = 9 x 102 J /kg-K)
Four conducting wires of length l, bend into rectangle, a square and a circle, are labelled as I, II and III and IV (as shown in the figure). These loops are carrying equal amount of current and placed into a magnetic field B. If the torque acting on them are τI, τII and τIII, τIV, respectively, which among the followingis highest?
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A direct current source of 2.4 V is connected across the primary turns of a step-up transformer. If ratio of the primary to that of the secondary turns in the transformer is given to be 1 : 50, the induced emf in the secondary winding of the transformer will be
When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index
When a photon of energy hv falls on a photosensitive material, it emits an electron with a maximum velocity of 4 x 105 m/s. For the same surface, if the energy of the photon is doubled, what will be the speed of the emitting electron?
(Provided that the work function of the surface is hv/2.)
If the value of V = 5 V, then what will be the value of current drawn by the circuit?
An emf source of alternating current of frequency 1500 Hz is connected across an inductor of 150 mF. If the effective flow of alternating current in the inductor is 10 mA, the rms value of the voltage across the capacitor will be
A car is travelling with a speed of 15 m/s. A man is watching the car in a convex mirror. If the focal length of the mirror is 20 cm and the position of the car is 6 m away from the mirror, the apparent speed of the car in the mirror will be
Two lenses, with focal length f1 and f2, when combined produces no diffraction of light. If the ratio of the focal length f1 : f2 is 3 : 5. What will be the ratio of the dispersive power of the materials of the two lenses?
What will be the momentum of an electron of a hydrogen like atom which is jumping from an excited state of n = 4 to n = 1?
Given: A and B are input terminals.
Logic 1
Logic 0 ≤ 1 V
Which logic gate operation, the following circuit does?
Light of wavelength 5000 Å falls on a sensitive plate with the photoelectric work function of 1.9eV. The maximum kinetic energy of the photoelectron emitted will be:
A spherical capacitor consists of an inner sphere of diameter 6 cm and an outer sphere of diameter 10 cm. The space between the two concentric spheres is filled with a medium of dielectric constant 80. What is the capacitance of the capacitor?
If speed(V), acceleration (A) and force (B) are considered as fundamental units, the dimension of Young's modulus will be?
Which of the following parameters does not characterize a thermodynamic state of matter?
A road is 8 m wide. Its radius of curvature is 40 m. The outer edge is above the lower edge by a distance of 1.2 m. This road is most suited for a velocity of?
The number of magnetic lines of force passing through a given area is known as:
Two thin lenses, when in contact, produce a combination of power + 10 diopters. When they are 0.25 m apart, the power is reduced to + 6 diopters. The powers of the lenses in diopters are:
A step up transformer operates on a 200 volt line and supplies to a load of 2 amp. The ratio of primary to secondary windings is 1 : 25. Determine the primary current?
The stopping potential for the photo electrons emitted from a metal surface of work function 1.7eV is 10.4 V. Identify the energy levels corresponding to the transitions in hydrogen atom which will result in emission of wavelength equal to that of incident radiation for the above photoelectric effect.
A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground as-
A particle is moving such that s = t3 - 6t2 + 18t + 9 where is in metres and t is in second. The minimum velocity attained by the particle is:
Two different coils have self inductance 8 mH and 2 mH. The current in both coils are increased at same constant rate. The ratio of the induced emf's in the coil is-
A physical quantity Q is found to depend on observables x, y and z, obeying relation . The percentage error in the measurements of x , y and z are 1 % , 2 % and 4 % respectively. What is percentage error is the quantity Q ?
A particle of mass m is projected with velocity v moving at an angle of 45∘ with horizontal. The magnitude of angular momentum of projectile about point of projection when particle is at maximum height, is-
The temperature at which the speed of sound in the air becomes double of its value at 27°C, is-
A block is submerged in vessel filled with water by a spring attached to the bottom of the vessel. In equilibrium, the spring is compressed. The vessel now moves downwards with acceleration a(<g). The spring length-
If AB is an isothermal, BC is an isochoric and AC is an adiabatic, which of the graphs correctly represents given in figure?
In a spherical distribution, the charge density varies as ρ (r) = A/r for a < r < b (as shown) where A is a constant. A point charge Q lies at the centre of the sphere at r = 0 . The electric field in the region a < r < b has a constant magnitude for-