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The charge on A and B will be :-
http://www.onlinetestseries.in/data/images/common/papers/partners/32/724/image223.png

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Two identical charged sphere are suspended in air by strings of equal lengths and make an angle of 30° with each other. When suspended in a liquid of density 0.8 gm cm–3, the angle remains the same. What is the dielectric constant of the liquid. Take density of material of the sphere = 1.6 gm cm–3
(1) 2
(2) 5
(3) 10
(4) None of the above

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The resultant of two forces at right angles is 5N.when the angle between them is 120°  the resultant is √13N then magnitudes of those two forces are

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How three charges (q, 2q, 8q) are placed on a line of length 18 cm. so that the potential energy of system is minimum
(1) http://www.onlinetestseries.in/data/images/common/papers/partners/32/724/image215.png
(2) http://www.onlinetestseries.in/data/images/common/papers/partners/32/724/image217.png
(3) http://www.onlinetestseries.in/data/images/common/papers/partners/32/724/image219.png
(4) http://www.onlinetestseries.in/data/images/common/papers/partners/32/724/image221.png

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If a and b are two sides of a parallelogram and c and d are the diagonals then :-
(1) c2 + d2 = a2 + b2
(2) c2 + d2 = 2 (a2 + b2)
(3) c2 – d2 = a2 – b2
(4) c2 – d2 = 2 (a2 – b2)

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walking on pebble in bare feet is more painful than walking on sand why?

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A cylinder of gas is compressed by a piston from an initial volume of 125 liters to a final volume of 90 liters. The compression occurs at constant pressure, and the work done on the gas by the piston is 104 joules. What is the gas pressure during the compression?
(1 liter = 10-3 meters3)

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An experiment includes a wheel with a moment of inertia (I). A mass (M) is connected to a belt and runs over a drum of radius (R). The other end of the belt is attached to a spring of stiffness (K) that is connected to the ground.
Show that if the mass is pulled down with a force (F) and then released, that the system will oscillate with simple harmonic motion with a frequency given by…
F = 1/(2 pi) sqrt(k/(M+i/R^2))

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Two masses of 2kg and 4kg are connected by a light string passing over a light frictionless pulley. If the system is released from rest determine the velocity of the 4kg mass when it has descended a distance of 1.4m

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A capacitor of 10 uF and 20 uF are connected across batteries of 600 volts and 1000 volts respectively and then disconnected. They are then joined in parallel. What is the charge on each capacitor.

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