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Problems with solutions

I.D Level Problem Problem Topic
255 High school Two tiny identical metal balls of 10 g each carrying equal positive charges are suspended from 1-m long strings . These balls repel each other and then come to equilibrium making an angle of 37 degree with the vertical as shown in the figure at "click here" . Calculate the charge on each ball . . . . continues
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Electrostatics
256 High school Consider point charges q1 = q2 =2 micro C , q3 = q4 = -2 micro C . Find the electric field intensity at the center of the square as shown in the figure at "click here" . Each diagonal is of length 2 m . . . . continues
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Electrostatics
257 High school Consider charges q1 = 1x 10^ -7 C , q2 = 2x 10^ -7 C , q3 = 3x 10^ -7 C , and q4 = 4x10^ -7 C placed at four corners of a square of side 1m , Calculate the potential at the centre of the square . If a charge of 5x10^-7 C is placed at the center of the square , what is its potential energy ? . . . continues
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Electrostatics
258 High school Consider an RLC circuit with R = 10 ohm , L = 0.1 H , and C = 100 micro F . The ac voltage applied is 100 V and a frequency of 60 Hz . Find : the inductive reactance , capacitive reactance , and the total impedance ;

the current in the circuit; voltage across each component ; and the phase angle

. . . continues
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Current & Electricity
259 High school A concave spherical mirror has a , focal length of 15.0cm . Where should an object be placed such that the height of the image is a quarter of the height of the object ? . . . continues
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Optics
260 High school Where should an object be placed in front of a convex spherical mirror of 15.5 cm focal length in order to get a virtual image with a magnification of one-half ? . . . continues
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Optics
261 High school Find the equivalent capacitance and the charge on each capacitor in the diagram as shown at "click here" , if C1 = 10.0 micro F , C2 = 20.0 micro F, C3 = 30.0 micro F , C4 = 40.0 micro F , and V = 12.0 V . . . . continues
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Current & Electricity
262 High school Find the current through each resistor in the diagram as shown at "click here" . . . . continues
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Current & Electricity
277 High school A 2.0 kg mass moving to the east at a speed of 4.0 m/s collides head-on in a perfectly inelastic collision with a stationary 2.0 kg mass . How much kinetic energy is lost during this collision ?

a) 16 J

b) 4 J

c) 8 J

d) zero

. . . continues
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Work,Power & Energy
278 High school A 3.0 kg mass is positioned at (0,0.8) , and a 1.0 kg is positioned at (12,0). What are the coordinates of a 4.0 kg mass which will result in the centre of mass of the system of three masses being located at the origin , (0,0) ?

a) (-3.0,-6.0)

b) (-12,-8.0)

c) (3.0,6.0)

d) (-6, -3)

. . . continues
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Rotational Mechanics
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