Please provide me question paper for IIT joint entrance examination with answers in PDF file format ?

Here I am giving you question paper for IIT joint entrance examination with answers in PDF file attached with it so you can get it easily.

1. One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another
horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces
at two ends, the ratio of the elongation in the thin wire to that in the thick wire is
(A) 0.25 (B) 0.50
(C) 2.00 (D) 4.00
Sol. (C)

3. Two rectangular blocks, having identical dimensions, can be
arranged either in configuration I or in configuration II as shown in
the figure. One of the blocks has thermal conductivity  and the
other 2 . The temperature difference between the ends along the
x-axis is the same in both the configurations. It takes 9 s to
transport a certain amount of heat from the hot end to the cold end
in the configuration I. The time to transport the same amount of
heat in the configuration II is
Configuration I
Configuration II 
x
(A) 2.0 s (B) 3.0 s
(C) 4.5 s (D) 6.0 s




5. The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero
of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions
equivalent to 2.45 cm. The 24th division of the Vernier scale exactly coincides with one of the main scale
divisions. The diameter of the cylinder is
(A) 5.112 cm (B) 5.124 cm
(C) 5.136 cm (D) 5.148 cm
Sol. (B)

6. Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their
partial pressures, when enclosed in a vessel kept at a constant temperature, is 4 : 3. The ratio of their
densities is
(A) 1 : 4 (B) 1 : 2 (C) 6 : 9 (D) 8 : 9
Sol. (D)

8. The image of an object, formed by a plano-convex lens at a distance of 8 m behind the lens, is real and is
one-third the size of the object. The wavelength of light inside the lens is 2
3
times the wavelength in free
space. The radius of the curved surface of the lens is
(A) 1 m (B) 2 m (C) 3 m (D) 4 m
Sol. (C)

16. A bob of mass m , suspended by a string of length l1 is given a minimum velocity required to complete a
full circle in the vertical plane. At the highest point, it collides elastically with another bob of mass m
suspended by a string of length l2, which is initially at rest. Both the strings are mass-less and inextensible.
If the second bob, after collision acquires the minimum speed required to complete a full circle in the
vertical plane, the ratio l1/l2 is
Sol. (5)

Attached Files

IIT JEE papers with solutions.pdf (263.0 KB, 125 views)