IIT Delhi Joint Admission Test Physics Model Question Paper : jam.iitd.ac.in
Organisation : IIT Delhi
Exam : Joint Admission Test – JAM
Document Type : Model Question Paper
Category or Subject : Physics
Year : 2016
Website : http://jam.iitd.ac.in/
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Physics Model Question Paper :
Section – A :
Multiple Choice Questions (Mcq) :
Q. 1 – Q.10 carry one mark each.
Q.1 For an infinitely long wire with uniform line-charge density, y, along the z-axis, the electric field at a point (a,b,0) away from the origin is (e^x,e^y,and e^z are unit vectors in Cartesian-coordinate system.)
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Q.2 A 1 W point source at origin emits light uniformly in all the directions. If the units for both the axes are measured in centimetre, then the Poynting vector at the point (1,1,0) in W/cm2 is (e^x,e^y,and e^z are unit vectors in Cartesian-coordinate system.)
Q.3 A charged particle in a uniform magnetic field B= B0 e^z starts moving from the origin with velocity v=(3e^x+ 2x) 2/ey. The trajectory of the particle and the time at which it reaches 2 meters above the xy- plane are (e^x,e^y,and e^z are unit vectors in Cartesian-coordinate system.)
Q.4 The eigenvalues of the matrix representing the following pair of linear equations x+iy = 0 & ix+y = 0 are
(A) 1+i, 1+i
(B) 1- i, 1- i
(C) 1, i
(D) 1+ i, 1- i
Q.5 The solution of the Boolean equation y= A+B+ AB is
(A) 1
(B) A+B
(C) A-B
(D) AB
Q.6 A spherical closed container with smooth inner wall contains a monoatomic ideal gas. If the collisions between the wall and the atoms are elastic, then the Maxwell speed-distribution function for the atoms is best represented by
Q.7 Two sinusoidal signals of frequencies x- and y-having same amplitude are applied to x- and y- channels of a cathode ray oscilloscope (CRO), respectively. The following stationary figure will be observed when
Q.8 The phase difference (d) between input and output voltage for the following circuits (i) and (ii) will be
(A) 0 and 0.
(B) p/2 and 0 < d = p/2 respectively.
(C) p/2 and p/2.
(D) 0 and 0 < d = p/2 respectively.
Q. 11 – Q. 30 carry two marks each.
Q.11 For the given set of equations: x?+y=1 y+z=1 z+x=1, which one of the following statements is correct?
(A) Equations are inconsistent.
(B) Equations are consistent and a single non-trivial solution exists.
(C) Equations are consistent and many solutions exist.
(D) Equations are consistent and only a trivial solution exists.
Q.12 The tangent line to the curve x2+ xy +5=0 at (1, 1) is represented by
(A) y=3x-2.
(B) y= -3x+4.
(C) x=3x-2.
(D) x= -3y+4.
Q.13 In the following RC circuit, the capacitor was charged in two different ways.
(i) The capacitor was first charged to 5V by moving the toggle switch to position P and then it was charged to 10V by moving the toggle switch to position Q.
(ii) The capacitor was directly charged to 10V, by keeping the toggle switch at position Q.
(A) The energy dissipation in cases (i) and (ii) will be equal and non-zero.
(B) The energy dissipation for case (i) will be more than that for case (ii).
(C) The energy dissipation for case (i) will be less than that for case (ii).
(D) The energy will not be dissipated in either case.
Q.14 If a constant voltage +V is applied to the input of the following OPAMP circuit for a time t, then the output voltage Vo will approach
(A) +V exponentially.
(B) -V exponentially.
(C) +V linearly.
(D) -V linearly
Q.15 Light travelling between two points takes a path for which
(A) time of flight is always minimum.
(B) distance is always minimum.
(C) time of flight is extremum.
(D) distance is extremum.
Q.16 A train passes through a station with a constant speed. A stationary observer at the station platform measures the tone of the train whistle as 484 Hz when it approaches the station and 442 Hz when it leaves the station. If the sound velocity in air is 330 m/s, then the tone of the whistle and the speed of the train are
(A) 462 Hz, 54 km/h.
(B) 463 Hz, 52 km/h.
(C) 463 Hz, 56 km/h.
(D) 464 Hz, 52 km/h.
Q.17 The minimum length of a plane mirror to see the entire full-length image of an object is half of the object’s height. Suppose d is the distance between eye and top of the head of a person of height h. The person will be able to see his entire full-length image with a mirror of height h/2 fixed on the wall
(A) when the bottom edge of mirror is kept h/2 above the floor.
(B) when the bottom edge of mirror is kept (h+ d)/2 above the floor.
(C) when the bottom edge of mirror is kept (h- d)/2 above the floor.
(D) when the centre of the mirror is at the same height as centre of the person.