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Consider a particle of mass m suspended by a string at the equator. Let R and M denote radius and mass of the earth. If ω is the angular velocity of rotation of the earth about its own axis, then the tension on the string will be (cos 0° = 1).
Concept: undefined >> undefined
Magnetic induction produced at the centre of a circular loop carrying current is 'B'. The magnetic moment of the loop of radius 'R' is (µ0 = permeability of free space) ____________.
Concept: undefined >> undefined
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A body is just revolved in a vertical circle of radius 'R'. When the body is at highest point, the string breaks. The horizontal distance covered by the body after the string breaks is ______.
Concept: undefined >> undefined
A rod of length 'L' is hung from its one end and a mass 'm' is attached to its free end. What tangential velocity must be imparted to 'm'. so that it reaches the top of the vertical circle? (g = acceleration due to gravity)
Concept: undefined >> undefined
A ferris wheel with radius 20 m makes 1 revolution in every 10 s. The force exerted by the passenger of weight 55 kg on the seat, when he is at the top of the ferris wheel, is ____________.
Concept: undefined >> undefined
For the knee voltage of a diode, which of the following is incorrect?
Concept: undefined >> undefined
The velocity of a projectile at the initial point A is `(5 hat "i" + 2 hat "j")` m/s. Its velocity (in m/s) at point B is ____________.

Concept: undefined >> undefined
A body of mass 0.5 kg is rotating in a vertical circle of radius 2 m. What will be the difference in its kinetic energy at the top and bottom of the circle? (Take g = 9.8 m/s2)
Concept: undefined >> undefined
When forward bias is applied to a p-n junction, then what happens to the potential banier VB and the width of charge depleted region X?
Concept: undefined >> undefined
A conductor in the fom1 of a right angle `\triangle` ABC with AB = 3 cm and BC = 4 cm carries a current of 15 A. There is a uniform magnetic field of 8 T perpendicular to the plane of the conductor. The force on the conductor will be ______.
Concept: undefined >> undefined
Same current is flowing in two a.c. circuits. First contains only inductance and second contains only capacitance. If frequency of a.c. is increased for both, the current will ______.
Concept: undefined >> undefined
If time of flight of a projectile is 20 seconds. Range is 250 metre. The maximum height attained by it will be ____________.
Concept: undefined >> undefined
A particle is moving along the circular path of radius 'r' with velocity 'v'. The magnitude of average acceleration after half revolution is ______.
Concept: undefined >> undefined
A particle of mass 'm' is rotating in a horizontal circle of radius 'r' with unifom1 velocity `vec"V"`. The change in its momentum at two diametrically opposite points will be ______.
Concept: undefined >> undefined
A particle is performing vertical circular motion. The difference in tension at lowest and highest point is ______.
Concept: undefined >> undefined
A sphere of mass 'M' is attached to one end of a metal wire having length 'L' and diameter 'D'. It is whirled in a vertical circle of radius R with angular velocity 'ω'. When the sphere is at lowest point of its path, the elongation of the wire is ______.
(Y= Young's modulus of the material of the wire, g =acceleration due to gravity)
Concept: undefined >> undefined
A stone is tied at the end of a rope of length 1 m and whirled in a vertical circle. The ratio of velocity at highest point to lowest point will be ______.
Concept: undefined >> undefined
The magnetic moment of a circular coil carrying current (I), having radius (r) and number of turns (n) is proportional to ____________.
Concept: undefined >> undefined
The coefficient of mutual induction is 2 H and induced e.m.f. across secondary is 2 kV, Current in the primary is reduced from 6 A to 3 A. The time required for the change of current is ____________.
Concept: undefined >> undefined
An A.C. voltage source of variable angular frequency `omega` and fixed amplitude V connected in series with a capacitance C and an electric bulb of resistance R (inductance zero). When `omega` is increased, ______.
Concept: undefined >> undefined
