www.iist.ac.in ISAT 2011 Sample Question Paper

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Previous Year Question Papers

Question Paper of ISAT-2011
Paper – I of ISAT-2010
Paper – II of ISAT-2010

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

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

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Let a particle have an instantaneous psition ~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

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

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 + f22)

The central fringe in a Young’s double slit experiment with the He-Ne laser (? = 632.8 nm) has intensity I0. If one of the slits is covered by a 5µm thick film of plastic (refractive index = 1.4), the intensity becomes I1. The ratio I1/I0 is close to
(A) 3/16 (B) 1/4 (C) 1/2 (D) 3/4

A submarine traveling at 10 ms-1 is chasing another one in front of it. It locates its position and speed by sending Sonar (ultrasonic sound) towards it and recording the time of its travel and return frequency. The frequency of the Sonar is 25000 Hz and the frequency of the reflected signal is 24900 Hz. If the speed of sound in water is 1500 ms-1, the speed of the submarine being chased is
(A) 16 ms-1 (B) 14 ms-1 (C) 13 ms-1 (D) 11 ms-1

Laplace correction to the speed of sound is made only for gases and not for solids and liquids. This is because, in comparison to gases, liquids and solids have
(A) larger thermal conductivity (B) much smaller compressibility (C) much smaller coefficient of thermal expansion (D) much smaller relative pressure change when the wave is passing through them.

Which of the following quantities has the least number of significant digits?
(A) 0.80760 (B) 0.08765 (C) 5.7423 × 102 (D) 80.760

In an experiment designed to determine the universal gravitational constant, G, the percentage errors in measuring the appropriate mass, length and time variables are given by a, b, c respectively. The total error in determining G is then
(A) (a + 3b + 2c) (B) (-a + 3b - 2c) (C) (2a + 3b + 2c) (D) (a + 9b + 4c)

Number of isomers that [Pt(Cl)(Br)(NO)(NH3)] exhibit,
(A) 3 (B) 6 (C) 4 (D) 8

When a metal is in its low oxidation state, the metal-carbon bond in M-CO is stronger than the metal-chloride bond in M-Cl, because,
(A) chloride is a s donor and carbon monoxide a p acceptor
(B) chloride is a s acceptor and carbon monoxide a p donor
(C) chloride is a s donor and the carbon monoxide is both a s donor as well as a p acceptor
(D) chloride is both the s donor as well as p acceptor and the carbon monoxide is both s and p accepter

The statement that is NOT correct in case of silicates is,
(A) cement is a silicate
(B) the Si-O bond is 50% covalent and 50% ionic
(C) silicate structures could have holes to fit cations in tetrahedral and octahedral geometries
(D) silicates are mainly built through ‘SiO2’ units

An optically active alcohol (X) on catalytic hydrogenation gives an optically inactive alcohol. The alcohol (X) is
(A) 3-ethyl-3-buten-2-ol (B) 3-methyl-3-penten-2-ol (C) 2-ethyl-3-buten-1-ol (D) 4-methyl-4-penten-2-ol

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