KCET Medical | 2013
Q. The frequency of the second overtone of the open pipe is equal to the frequency of the first overtone of the closed pipe. The ratio of the lengths of the open pipe and the closed pipe is.
1. 1:3
2. 1:2
3. 2:1
4. 3:1
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Q. A cylindrical tube of length 0.2 m and radius R with sugar solution of concentration 'C' produce a rotation of θ in the plane of vibration of a plane polarized light. The same sugar solution is transferred to another tube of length 0.3 m of same radius. The remaining gap is filled by distilled water. Now the optical rotation produced is.
1. 2θ3
2. 3θ2
3. θ
4. 9θ4
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Q. Radii of curvature of a converging lens are in the ratio 1:2. Its focal length is 6cm and refractive index is 1.5. Then its radii of curvature are _________ respectively.
1. 9cm and 18cm
2. 3cm and 6cm
3. 4.5cm and 9cm
4. 6cm and 12cm
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Q. Which of the following phenomena support the wave theory of light?
 (a) Scattering (b) Interference (c) Diffraction (d) Velocity of light in a denser medium is less than the velocity of light in the rarer medium.

1. A, B, C
2. A, B, D
3. A, C, D
4. B, C, D
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Q. A solid cylinder of radius R made of a material of thermal conductivity K1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K2. The two ends of the combined system are maintained at two different temperatures. Then there is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is:
1. 4K1+3K24
2. 3K1+4K24
3. 3K1+K24
4. K1+3K24
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Q. Earth is moving around the sun in an elliptical orbit as shown. The ratio of OB and OA is R. Then the ratio of speed Earth at A and B is:

1. R1
2. R
3. R2/3
4. R
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Q. The equation of a transverse wave is given by y=0.05sinπ(2t0.02x), where x, y are in metre and t is in second. The minimum distance of separation between two particles which are in phase and the wave velocity are respectively __________.
1. 100m, 50ms1
2. 50m, 100ms1
3. 100m, 100ms1
4. 50m, 50ms1
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Q. A gun fires a small bullet with kinetic energy K. Then kinetic energy of the gun while recoiling is.
1. K
2. More than K
3. Less than K
4. K
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Q. Two stars A and B radiate maximum energy at the wavelengths of 360nm and 480nm respectively. Then the ratio of the surface temperatures of A and B is.
1. 4:3
2. 3:4
3. 256:81
4. 81:256
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Q. The distance between an object and its real image produced by a converging lens is 0.72 m. The magnification is 2. What will be the magnification when the object is moved by 0.04 m towards the lens?
1. 4
2. 3
3. 2
4. 6
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Q. From a fixed support, two small identical spheres are suspended by means of strings of length 1m each. They are pulled aside as shown and then released. B is the mean position. Then the two spheres collide.

1. At B after 0.25 second
2. At B after 0.5 second
3. On the right side of B after some time
4. On the right side of B when the strings are inclined at 15o with B
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Q. Two solids P and Q float in water. It is observed that P floats with half of its volume immersed and Q floats with 23rd of its volume is immersed. The ratio of densities of P and Q is.
1. 4/3
2. 2/3
3. 3/4
4. 3/2
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Q. Three conductors draw currents of 1A, 2A and 3A respectively, when connected in a turn across a battery. If they are connected in series and the combination is connected across the same battery, the current drawn will be
1. 611A
2. 37A
3. 47A
4. 57A
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Q. When a potential difference of 103V is applied between A and B, a charge of 0.75 mC is stored in the system of capacitors as shown. The value of C is (in μF) is:

1. 1/2
2. 2
3. 2.5
4. 3
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Q. A truck accelerates from speed v to 2v. Work done is during this is
1. Three times as the work done in accelerating it from rest to v
2. Less than the work done in accelerating it from rest to v
3. Same as the work done in accelerating it from rest to v
4. Four times as the work done in accelerating it from rest to v
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Q. A person with vibrating tuning fork of frequency 338Hz is moving towards a vertical wall with a speed of 2ms1. Velocity of sound in air is 340ms1. The number of beats heard by that person per second is.
1. 4
2. 2
3. 8
4. 6
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Q. Which one of the following is NOT correct?
1. Dimensional formula of thermal conductivity [K] is M1L1T3K1
2. Dimensional formula of potential [V] is M1L2T3A1
3. Dimensional formula of permeability of free space [μ0] is M1L1T2A2
4. Dimensional formula of [RC] is M0L0T1
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Q. Pick out the WRONG statement from the following.
1. Lateral shift increases as the angle of incidence increases
2. Lateral shift increases as the value of refractive index increases
3. Normal shift decreases as the value of refractive index increases
4. Both normal shift and lateral shift are directly proportional to the thickness of the medium
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Q. For which combination of working temperatures of source and sink, the efficiency of Carnot's heat engine is maximum?
1. 400K, 200K
2. 600K, 400K
3. 500K, 300K
4. 300K, 100K
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Q. The refractive through the prisms are as shown. Pick out the WRONG statement from the following. Path of the light ray in.

1. B is correct if n1=n2 and n2>n3
2. D is correct if n1>n2 and n2<n3
3. C is correct if n2<n1 and n2=n3
4. A is correct if n2>n1 and n2>n3
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Q. A projectile is projected at 10ms1 by making at an angle 60o to the horizontal. After some time its velocity makes an angle of 30o to the horizontal. Its speed at this instant is.
1. 103
2. 103
3. 53
4. 53
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Q. See the diagram. Area of each plate is 2.0m2 and d=2×10×103m. A charge of 8.85×108C is given to Q. Then the potential of Q becomes:

1. 10V
2. 13V
3. 8.825V
4. 66.7V
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Q. When an additional charge of 2C is given to a capacitor, energy stored in it is increased by 21%. The original charge of the capacitor is :
1. 30C
2. 40C
3. 10C
4. 20C
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Q. A small oil drop of mass 106kg is hanging in at rest between two plates separated by 1mm having a potential difference of 500V. The charge on the drop is __________(g=10ms2).
1. 2×109C
2. 2×1011C
3. 2×108C
4. 2×106C
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Q. White light reflected from a soap film(Refractive Index=1.5) has a maxima at 600nm and a minima at 450nm with no minimum in between. Then the thickness of the film is _____×107m.
1. 1
2. 3
3. 4
4. 2
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Q. Two concentric spheres of radii R and r have positive charges q1 and q2 with equal surface charge densities. What is the electric potential at their common centre?
1. σϵ0(R+r)
2. σϵ0(1R+1r)
3. σϵ0(Rr)
4. σϵ0(Rr)
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Q. The speed of light in media M1 and M2 are 1.5×108ms1 and 2×108ms1 respectively. A ray travels from medium M1 to the medium M2 with an angle of incidence θ. The ray suffers total internal reflection. Then the value of the angle of incidence θ is.
1. >sin1(34)
2. <sin1(34)
3. =sin1(43)
4. sin1(34)
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Q. In a lift moving up with an acceleration of 5ms2, a ball is dropped from a height of 1.25m. The time taken by the ball to reach the floor of the lift is .....(nearly) (g=10ms2).
1. 0.3 second
2. 0.2 second
3. 0.4 second
4. 0.16 second
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Q. A uniform electric field in the plane of the paper is shown in the figure. Here A, B, C, D are the points on the circle. VA, VB, VC, VD are the potentials at those points respectively. Then :

1. VA=VC, VB=VD
2. VA=VC, VB>VD
3. VA>VC, VB>VD
4. VA=VB, VC=VD
5. VC>VB=VA>VD
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Q. Two metal spheres of radii 0.01m and 0.02m are given a charge of 15mC and 45mC respectively. They are the connected by a wire. The final charge on the first sphere is __________×103C.
1. 30
2. 40
3. 20
4. 10
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