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A resistance is connected to a capacitor in AC are the phase differece is (pi)/(4) between current and voltage. Whe the same resistance is connected to an inductor, phase difference becomes tan^(-1)(2) . Power factor of the circuit when both capacitor and inductor are connect to the resistance will be

A 25 kg crate starting from rest at the top slides down a plane that makes an angle of 30^(@) with the horizontal . Whe it reaches the bottom of the 10 m long slide , its velocity is 8 m/s . The work done by the fore of friction is closest to a value of :

Two identical particles are charged and held at a distance of 1m form each pther. They are found to be attraction each other with a force of 0.027N . Now they are connected by a conducting wire so that charge folws between them. Whe the charge flow stop, they are found to be repelling each other with a force of 0.009N. Find the initial charge on each particle.

Two identical particles are charged and held at a distance of 1m form each pther. They are found to be attraction each other with a force of 0.027N . Now they are connected by a conducting wire so that charge folws between them. Whe the charge flow stop, they are found to be repelling each other with a force of 0.009N. Find the initial charge on each particle.

Monica was watching the night sky. She saw a star , moving towards her, with increase in brightness. After some few minutes when she watched closely, she found it was the light from a flight in the sky. Whe was surprised, but initially the flight looked stationary, after soem time it was glowing brightly miving towards her. So she went and asked her father. Why this effect occured?

A piece of stone was dropped from a stationary baloon. The stone covered 13.9 m during the last (1)/(7) s of its descent. Find the height of the balloon and the velocity of the stone whe it strikes the ground. [g = 9.8 "m.s" ^(-2) ]

[" Also find the fraction of students who have not participated in any competition."],[" Rachit spends "6" hrs in his study,I hour in sport,I hotching TV,3hrs in other activities,"6" hrs in "],[" schooland remaining time in-sleeping.What fractions of his day he spends on study,sport,watching TV,"],[" in school,in other activities and sleeping? "],[" Whe folling in ( "10%" ) "],[" (i) Iike fractions: Fractions having the same denominators are called like fractions."]