IIST Entrance Exam Question Papers

Can you provide me the previous years question paper of IIST entrance exam as my friend is preparing for the exam and want them for preparation?

[Arun Vats]

Here I am mentioning a few questions of the IIST entrance exam which I have extracted from a PDF file that you can download for free:

1. A projectile is fired at an angle 60◦ with some velocity u. If the angle is changed infinitesimally, let the corresponding fractional changes in the range and the time of flight be x and y, respectively, Then y is
(A) 2
3x
(B) −2
3x
(C) 2x
(D) −2x

2. A ball is dropped down vertically from a tall building. After falling a height h it bounces elastically from a table inclined at an angle θ and hits a wall at a distance d from the point of earlier impact horizontally, then
(A) θ = (1/2) sin−1(2d/h)
(B) θ = (1/2) tan−1(d/h)
(C) θ = (1/4) sin−1(d/h)
(D) θ = (1/2) tan−1(2d/h)

3. A photon with an initial frequency 1011Hz scatters off an electron at rest. Its final frequency is 0.9×1011 Hz. The speed of the scattered electron is close to (h = 6.63×10−34 Js, me = 9.1×10−31 kg)
(A) 4 × 103 ms−1
(B) 3 × 102 ms−1
(C) 2 × 106 ms−1
(D) 30ms−1


4. Suppose the particle starts from r = 1 with a kinetic energy just enough to reach r = R. Its kinetic energy at r = R/2 will be
(A) k/R
(B) (5/8)(k/R)
(C) (3/8)(k/R)
(D) 0

5. Let a particle have an instantaneous position ~r(t), velocity ~v(t) and acceleration ~a(t). Necessary conditions
for it to be considered as an instantaneous circular motion about the origin are
(A) ~r.~v = 0 ; ~a.~v = 0 ; ~a.~r < 0
(B) ~r.~v = 0 ; ~a.~v = 0 ; ~a.~r > 0
(C) ~r.~v > 0 ; ~a.~v = 0 ; ~a.~r = 0
(D) ~r.~v = 0 ; ~a.~v > 0 ; ~a.~r < 0

6. A current I is flowing in a wire of length l. The total momentum carried by the charge carrier of mass m and charge q is
(A) m
q I l
(B) 2m
q I l
(C) q
m I l
(D) 2q
m I l

7. In an oil drop experiment, charged oil drops of mass m and charge q are released at a height h, one at a time, at intervals t > p2h/g. The drops are collected in a large metal sphere of radius R with a small opening at the top. The total number of drops that are able to enter the sphere will be
(A) mg 4 π ǫ0 (h−R)
q2
(B) mg 4 π ǫ0 (h−R)2
q2
(C) mg 4 π ǫ0 (h−R)
q
(D) mg 4 π ǫ0
(h−R)q

8. Two lenses, one biconvex of focal length f1 and another biconcave of focal length f2 are placed along the same axis. They are separated by a certain distance such that a parallel beam of light incident on the convex lens also emerges parallel from the concave lens subsequently. The magnification of the combination is given by
(A) M = f1
2/f2
2
(B) M = f2/f1
(C) M = f1/f2
(D) M = (f1f2)/(f1
2 + f2
2)