Question Paper (Section wise)
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1) The correct figure that shows, schematically, the wave pattern produced by superposition of two waves of frequencies 9 Hz and 11 Hz,
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2) In free space, a particle A of of charge 1 µ C is held fixed at a point P. Another particle B of the same charge and mass 4 µg is kept at a distance of 1 mm from P. If B is released, then its velocity at a distance of 9 mm from P is
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1.5 × 102 m/s
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2.0 × 103 m/s
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1.0 m/s
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3.0 × 104 m/s
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3) A metal coin of mass 5 g and radius 1 cm is fixed to a thin stick AB of negligible mass as shown in the figure. The system is initially at rest. The constant torque, that will make the system rotate about AB at 25 rotation per second is 5 s is close to
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2.0 × 10-5 Nm
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4.0 × 10-6 Nm
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1.6 × 10-5 Nm
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7.9 × 10-6 Nm
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4) In Li++, electron in first Bohr orbit is excited to a level by a radiation of wavelength λ. When the ion gets deexcited to the ground state in all possible ways (including intermediate emission) a total of six spectral lines are observed. What is the value of λ?
( Given: h = 6.63 × 1034 js; e = 3 × 108 ms–1 )
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10.8 nm
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11.4 nm
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9.4 nm
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12.3 nm
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5) Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm-2. If the surface has an area of 25 cm2, the maximum transferred to the surface in 40 min time duration will be
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6.3 × 10-4 Ns
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3.5 × 10-6 Ns
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5.0 × 10-3 Ns
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1.4 × 10-6 Ns
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6) Space between two concentric conducting spheres of radii a and b (b> a ) is filled with a medium of resistivity ρ. The resistance between the two spheres will be
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7) Water from a tap emerges vertically downwards with an initial speed of 1.0 ms-1. The cross-sectional area of the tap is 10-4m2. Assume that the pressure is constant throughout the stream of water and that flow is streamlined. The cross-sectional area of the stream, 0.15 m below the tap would be:
( take g = 110 ms-2 )
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5 × 10-4 m2
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5 × 10-5 m2
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1 × 10-5 m2
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2 × 10-5 m2
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8) The time dependence of the position of a particle of mass m = 2 is given by its angular momentum with respect to the origin at time t = 2 is
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9) The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length of the lens used?
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10) The formula X = 5YZ2 X and Z have dimensions of capacitance and magnetic field respectively. What are the dimensions of Y in Sl units?
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[M-2 L0 T-4 A-2]
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[M-3 L-2 T8 A-1]
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[M-2 L-2 T-6 A3]
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[M-1 L-2 T4 A2]
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1) The correct statements among (a) to (d) are:
a. Saline hydrides produce H2 gas when reacted with H2O.
b. Reaction of LiAH4 with BF3 leads to B2H6.
c. PH3 and CH4 are electron - rich and electron-precise hydrides, respectively.
d. HF and CH4 are called as molecular hydrides.
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c and d only
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a, b and c only
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a, b, c and d
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a, c, and d only
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2) The correct order of the first ionization enthalpies is
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Mn < Ti < Zn < Ni
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Zn < Ni < Mn < Ti
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Ti < Mn < Zn < Ni
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Ti < Mn < Ni < Zn
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3) For the reaction,
∆H = -57.2 kJ mol-1 and
KC = 1.7 × 1016
Which of the following statement is INCORRECT?
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The equilibrium constant is large suggestive of reaction going to completion and so no catalyst is required.
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The equilibrium will shift in forward direction as the pressure increase.
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The equilibrium constant decreases as the temperature increases.
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The addition of inert gas at constant volume will not affect the equilibrium constant.
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4) A hydrated solid X on heating initially gives a monohydrated compound Y. Y upon heating above 373K leads to an anhydrous white powder Z. X and Z, respectively, are:
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Washing soda and soda ash.
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Washing soda and dead burnt plaster.
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Baking soda and dead burnt plaster.
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Baking soda and soda ash.
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5) The major product 'Y' in the following reaction is:-
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6) 1 g of non-volatile non-electrolyte solute is dissolved in 100g of two different solvents A and B whose ebullioscopic constants are in the ratio of 1: 5. The ratio of the elevation in their boiling points,
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5: 1
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10: 1
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1: 5
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1: 0.2
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7) -
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8) The correct option among the following is
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Colloidal particles in lyophobic sols can be precipitated by electrophoresis.
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Brownian motion in colloidal solution is faster the viscosity of the solution is very high.
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Colloidal medicines are more effective because they have small surface area.
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Addition of alum to water makes it unfit for drinking.
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9) The crystal field stabilization energy (CFSE) of [ Fe( H2O )6 ]Cl2 and K2[ NiCl4 ], respectively, are :-
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–0.4∆o and –0.8∆t
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–0.4∆o and –1.2∆t
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–2.4∆o and –1.2∆t
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–0.6∆o and –0.8∆t
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10) Compound A (C9H10O) shows positive iodoform test. Oxidation of A with KMnO4/KOH gives acid B(C8H6O4). Anhydride of B is used for the preparation of phenolphthalein. Compound A is:
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1) from the origin. Then which one of the following points lies on any of these lines?
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2) units from the planes 4x – 2y + 4z + λ = 0 and 2x – y + 2z + μ = 0, respectively, then the maximum value of λ + μ is equal to:
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15
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13
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5
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9
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3) If c = 4 cm, then the area (in sq. cm) of this triangle is
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4) Suppose that 20 pillars of the same height have been erected along the boundary of a circular stadium. If the top of each pillar has been connected by beams with the top of all its non-adjacent pillars, then the total number of beams is
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210
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180
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170
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190
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5) The number of real roots of the equation :
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4
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3
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2
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1
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35/6 – 32/3
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35/3 – 31/3
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37/6 – 35/6
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34/3 – 31/3
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7) A perpendicular is drawn from a point on the line
to the plane x + y + z = 3 such that the foot of the perpendicular Q also lies on the plane x – y + z = 3. Then the co-ordinates of Q are
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( 2, 0, 1 )
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( -1, 0, 4 )
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( 1, 0, 2 )
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( 4, 0, -1 )
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8) The tangent and normal to the ellipse 3x2 + 5y2 = 32 at the point P( 2, 2 ) meet the x-axis at Q and R, respectively. Then the area ( in sq. units ) of the triangle PQR is:
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9) A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm2/min. When the thickness of the ice is 5 cm, then the rate at which the thickness ( in cm/min ) of ice decreases is:
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10) -
38
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58
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23
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35
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