WBJEE  Physics (Category  3) Model Test
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Question 1 
An experiment to measure Y with a set of four wires of same material and same mass but of different lengths and diameters were performed using a frictionless pulling arrangement as shown. Different masses were used to create tension for the measurement of lengthextension of each wire. In this experiment, which of the following quantities do /does not vary linearly?
A  For a given applied mass, the extension of length vs diameter of wire 
B  For a given applied mass, the extension of length vs length of the wires 
C  For all wires, the extension of length versus applied mass 
D  For same amount of extension of length of all wires, length of wire vs. the elastic potential energy 
Question 2 
A biconvex lens of focal length 10 cm is cut along the horizontal diameter and the two halves are kept 2 mm apart symmetrically about the optical axis as shown in the figure. A monochromatic point source of light is now placed at a distance 10 cm on the optical axis. Then which of the following statements is/are correct?
A  The rays emerging from each lenshalf will be converging to a point on the optical axis at a distance of 10 /3 cm from the lenshalves 
B  The rays emerging from each lenshalf will be parallel making an angle of 10sup>2 radian with the optical axis 
C  Rays from each lenshalf will be diverging as if the source is on the optic axis at a distance of 10/3 cm behind the lenshalves 
D  The rays emerging from the upper lenshalf will appear to come from a point 10 cm behind the lenshalves and 1 mm below the optical axis 
Question 3 
When a potential difference is applied across, the current passing through
A  an insulator at 0 K is zero

B  a semiconductor at 0 K is zero 
C  a metal at 0 K is finite 
D  a pn diode at 300 K is finite, if it is reversebiased 
Question 4 
A moving coil galvanometer has a resistance of 100 Ω and shows fullscale deflection at a current of 100 μA. The galvanometer has to be used as an ammeter in the range of 0–100 mA so that 100 mA is the fullscale deflection current. A resistance R has to be connected in parallel. Then
A  the value of R should be 0.10 Ω

B  when this new ammeter measures 100 mA current, the current through the galvanometer is 100 μA 
C  for higher current measurement, the value of R should be larger than the present value of R 
D  this new ammeter can measure both +100mA and 100mA 
Question 5 
A circuit consists of three batteries of e.m.f. E_{1} = 1V, E_{2} = 2V and E_{3} = 3V respectively and internal resistance of r = 1 Ω each connected in parallel as shown in figure.
A  The equivalent e.m.f. of the three batteries is E_{eq} = 2V 
B  Internal resistance of the equivalent battery is 1 / 3 Ω 
C  Potential difference between the points P and Q is V_{PQ} = 2V 
D  Current flowing through the branch containing E_{1} =1V battery is i_{1} = 0 amp 
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