Well below I have given you the Maths paper solution for the IIT JEE B.Arch paper so you can have a look

1. Two particles are performing simple harmonic motion in a straight line about the same equilibrium point.
The amplitude and time period for both particles are same and equal to A and T, respectively. At time
t = 0 one particle has displacement A while the other one has displacement – 2 and they are moving
towards each other .If they cross each at time t, then t is :
(1) T 4 (2) 5T 6 (3) T 3 (4) T 6
Ans. (4)


2. To find the focal length of a convex mirror, a student records the following data : Object pin Convex Lens Convex Mirror Image Pin 22.2 cm 32.2cm 45.8 cm 71.2 cm The focal length of the convex lens is f1 and that of mirror is f2. Then taking index correction to be negligibly small, f1 and f2. are close to : (1) f1 = 15.6 cm f2 = 25.4 cm (2) f1 = 7.8 cm f2 = 12.7 cm (3) f1 = 7.8 cm f2 = 25.4 cm (4) f1 = 12.7 cm f2 = 7.8 cm


3. Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is 1 4 the area of the ellipse . (See figure) With db as the semi major axis, and ca as the semi minor axis. If t1 is the time taken for planet to go over path abc and t2 for path taken over cda then : d s c b
a
(1) t1 = 3t2 (2) t1 = t2 (3) t1 = 2t2 (4) t1 = 4t2
Ans. (1)


4. A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2s
at T = 0°C. If the temperature of the wire is increased and the corresponding charge in its time period is$
plotted against its temperature, the resulting graph is a line of slop S. If the coefficient of linear
expansion of metal is a then the value of S is :
(1) 1  (2) 2 (3) 2  (4) 
Ans. (4)

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