Let a1=0 and a1,a2,a3,…,an be real numbers such that ai=ai−1+1 for all i, then the A.M. of the numbers a1,a2,a3,…,an has the value A where
The magnitude of a point charge due to which the electric field 30 cm away has the magnitude 2 newton/coulomb is a×10-11 C. The value of a is:1/4πε0=9×109Nm2/C2
A proton accelerated through a potential difference of 100V, has de – Broglie wavelength λ0 . The de – Broglie wavelength of an α – particle, accelerated through 800 V is
A long solenoid has 1000 turns. When a current of 4 A flows through it, the magnetic flux linked with each turn of the solenoid is 4×10-3 Wb. The self-inductance of the solenoid is
A long solenoid of diameter 0.1 m has 2×104 turns per meter. At the centre of the solenoid, a coil of 100 turns and radius 0.01 m is placed with its axis coinciding with the solenoid axis. The current in the solenoid reduces at a constant rate to 0 A from 4 A in 0.05 s. If the resistance of the coil is 10π2Ω, the total charge flowing through the coil during this time is
Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase difference between the beams is π2 at point A and π at point B. Then, the difference between resultant intensities at A and B is
A tank full of water has a small hole at its bottom. If one fourth of the tank is emptied in t1 seconds and the remaining three-fourths of the tank is emptied in t2 seconds. Then the ratio (t1t2) is
An object of mass 0.2 kg executes simple harmonic motion along the x-axis with a frequency of 25/π Hz. At the position x = 0.04 m, the object has a kinetic energy of 0.5 J and potential energy of 0.4 J. The amplitude of oscillation is