Reactance of a capacitor of capacitance CμF for A.C. frequency 400/μ Hz is 25Ω. The value C is
The closest distance of approach of an α- particle travelling with a velocity 'V' to a certain nucleus is 'x'. The distance of closest approach of α- particle travelling with a velocity 3V to the same nucleus is
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An electric wire of length 'l' and area of cross section a has a resistance R ohms. Another wire of the same material having same length and area of cross-section 4a has a resistance of
A voltmeter having a resistance of 998 ohms is connected to a cell of e.m.f. 2 volt and internal resistance 2 ohm. The error in the measurement of e.m.f. will be
The space between the plates of a parallel plate capacitor is filled consecutively with two dielectric layers of thickness d1 and d2 having relative permittivities ε1 and ε2 respectively. If A is area of each plate, the capacity of the capacitor is
An electromagnet has stored 648 J of energy, when a current of 9 A exists in its coils. If the current is reduced to zero in 0.3 s, then average induced e.m.f. in the coils is
During a current change from 2 A to 4 A in 0.05 second, 8 V of emf is developed in a coil. the coefficient of self-induction is
The capacitance of a parallel plate capacitor becomes 4/3 times its original value if a dielectric slab of thickness t = d/2 is inserted between the plates (where d is separation between the plates). The dielectric constant of the slab is
An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will be
A block weighs w is held against a vertical wall by applying a horizontal force f. The minimum value of F needed to hold the block is
If the value of g at the surface of the earth is 9.8 m/sec2, then the value of g at a place 480 km above the surface of the earth will be
A mass M is split into two parts m and (M - m), which are then separated by a certain distance. The ratio m/M , which maximizes the force of attraction between the two parts is
If the temperature of the sun is doubled, the rate of energy received on earth will be increased by a factor of
If distance between the slits of Young's double slit experiment is reduced to half, then the fringe width will
A positively charged particle moving due east enters a region of uniform magnetic field directed vertically upwards. The particle will
A uniform magnetic field acts at right angle to the direction of motion of electron. As a result of this, the electron describes a circular path of radius 2 cm. If speed of electron is doubled, then radius of circular path will become
A magnet of length 10cm and magnetic moment 1 Am2 is placed along the side AB of an equilateral triangle ABC. If the length of the side AB is 10cm, the magnetic induction at the point 'C' is ( μ0 = 4π × 10−7 Hm−1 )
Most of the sustances show which of the magnetic property :
An incompressible fluid flows steadily through a cylindrical pipe which has radius 2 R at point A and radius R at point B. If velocity at point A is ν, then its velocity at point B is
The shape of liquid meniscus in capillary tube will be concave upwards, if the angle of contact is
A wire can be broken by applying a load of 200 N.The force required to break another wire of the same length and same material, but double in diameter, is
A car drives along straight level frictionless road by an engine delivering constant power. Then velocity is directly propotional to
A radio active sample has a half life of 5 days. To decay from 8 micro curies to 1 micro-curie, the number of days taken will be
The decay constant of a radio active substance is λ . Its half life is