Model Test Paper,                                                  School of Research & Technology(Engineering College, People's University,Bhopal
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Q.1  A red LED emits light at 0.1 watt uniformly around it. The amplitude of the electric field of the light at a distance of 1 m from the diode is:
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Q.2. A train is moving on a straight track with speed 20 ms-1. It is blowing its whistle at the frequency of 1000 Hz. The percentage change in the frequency heard by a person standing near the track as the train passes him is (speed of sound =320 ms−1) close to:
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Q.3. In the circuit shown, the current in the 1Ω resistor is:
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Q.4.  Young's modulus is the property of
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Q.5. An artificial Satellite revolves round the Earth in circular orbit, which quantity remains constant?
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Q.6. When 5V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is 2.5×10−4 ms−1. If the electron density in the wire is 8×1028 m-3 , the resistivity of the material is close to:
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Q.7. The excess pressure across a soap bubble of radius r is p=4σ/r, where σ is the surface tension of soap solution. What is the excess pressure across an air bubble of the same radius r formed inside a container of soap solution?
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Q.8. On a hot summer night, the refractive index of air is smallest near the ground and increase with height from the ground. When a light beam is directed horizontally, the Huygens’ principle leads us to conclude that as its travels, the light beam:
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Q.9.  A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2 MHz. The frequencies of the resultant signal is/are:
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Q.10. There is a point object and a plane mirror. If the mirror is moved by 10 cm away from the object, find the distance (in cm) which the image will move.
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Q.11.  Which of the vitamins given below is water soluble?
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Q.12. Which one of the following alkaline earth metal sulphates has its hydration enthalpy greater than its lattice enthalpy?
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Q.13. The percent loss in weight after heating a pure sample of potassium chlorate (mol. wt. = 122.5) will be
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Q.14. Which has the highest pH?
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Q.15. Higher order (>3) reactions are rare due to:
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Q.16. The intermolecular interaction that is dependent on the inverse cube of distance between the molecules is:
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Q.17.  Two Faraday of electricity is passed through a solution of CuSO4. The mass of copper deposited at the cathode is:(at. mass of Cu =63.5 amu)
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Q.18. Assertion: Nitrogen and Oxygen are the main components in the atmosphere but these do not react to form oxides of nitrogen.                                        Reason: The reaction between nitrogen and oxygen requires high temperature.
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Q.19. Calculate the atomic number of hydrogen like species which can be ionized by an electron moving with a velocity, v = 6.56 × 106 ms-1
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Q.20. Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A×B, each having at least three elements is:
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Q.21. Locus of the image of the point (2, 3) in the line (2x−3y+3)+k(x−2y+3)=0, k∈R is a:
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Q.22.  The distance of the point (1, 0, 2) from the point of intersection of the line (x−2)/3= (y+1)/ 4= (x−2)/12  and the plane x−y+z=16 , is
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Q.23. The number of common tangents to the circles x2+y2−4x−6y−12=0 and x2+y2+6x+18y+26=0, is
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Q.24. The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is:
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Q.25. The negation of ~ s∨(~ r∨s) is equivalent to:
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