# EAMCET Question Papers

**Engineering Agriculture and Medical Common Entrance Test (EAMCET)** is conducted by Jawaharlal Nehru Technical University, Andhra Pradesh.

The duration of the exam is three hours. There are three sections in the exam, Physics, Chemistry and Mathematics. Mathematics section is given maximum weightage with 80 questions. Physics and Chemistry have 40 questions each. It is a multiple choice objective type exam. Each correct answer is of one mark. There is no negative marking.

**EAMCET Question Papers**

**TIME DURATION: 3 HRS**

**MATHEMATICS**

**1) If f(0)=0, f(1) =1, f(2)=2 and f(x)= f(x-2) + f(x-3) for x=3, 4,5,….. then f(9) = f(0 =0, f(1) = 1, f(2) = 2 then f(9) = ?**

a) 12

b) 13

c) 14

d) 10

**2) The numbers an = 6n – 5n for n=1,2,3,…. When divided by 25 leave the remainder**

a) 9

b) 7

c) 3

d) 1

**3) Let n = 1! + 4! + 7! + …. + 400!. Then tens digit of n is:**

a) 1

b) 6

c) 2

d) 7

**4) A polygon has 54 diagonals. Then the number of its sides is:**

a) 7

b) 9

c) 10

d) 12

**5) If ω is a complex cube root of unity , then (x + 1) (x + ω ) (x – ω – 1) =**

a) X3 – 1

b) X3 + 1

c) X3 + 2

d) X3 – 2

**6) a sin2 θ + b cos2 θ = c**

** tan2θ= ?**

a) b – c

a – c

b) c – b

a – c

c) a – c

b –c

d) a – c

c – b

**7) The sum of angles of elevation of the top of a tower from two points distant a and b from the base and in the same straight line with it is 90. Then the height of the tower is:**

a) a2b

b) ab2

c) √ab

d) ab

**8) An urn A contains 3 white and 5 black balls. Another urn B contains 6 white and 8 black balls. A ball is picked from A at random and then transferred to B. Then a ball is picked at random from B. The probability that it is a white ball is:**

a) 14/40

b) 16/40

c) 15/40

d) 17/40

**9) If a straight line L is perpendicular to the line 4x – 2y =1 and forms a triangle of area 4 square units with the coordinate axes, then an equation of the line L is:**

a) 2x + 4y +7 =0

b) 2x – 4y +8 =0

c) 2x + 4y +8 =0

d) 4x -2y -8 = 0

**10) An athlete completes one round of a circular track of radius R in 40 sec. what will be his displacement at the end of 2 min 20 seconds?**

a) 7R

b) 2R

c) 2ΠR

d) 7ΠR

**PHYSICS**

**11) Water from a tap emerges vertically downwards with initial velocity 4 m/s. the cross sectional area of the tap is A. the flow is steady and pressure is constant throughout the stream of water. The distance h vertically below the tap, where the cross sectional area of the stream becomes(2/3) A is**

a)0.5 m

b) 1 m

c)1.5 m

d) 2.2 m

**12) An organ pipe P1 closed at one end and containing a gas of density ρ1 is vibrating in its first harmonic. Another organ pipe P2 open at both ends and containing a gas of density ρ2 is vibrating in its third harmonic. Both the pipes are in resonance with a given tuning fork. If the compressibility of gases is equal in both pipes, the ratio of the lengths of P1 and P2 is:**

a) 1/3

b) 1/6

c) 3

d) √ρ1/ρ2

**13)A ray of light passes through an equilateral prism such that the angle of incidence is equal to the angle of emergence and each one is equal to 3/4th the angle of prism. The angle of deviation is:**

a) 45

b) 39

c) 20

d) 30

**14) The distance between field lens and eye lens in Ramsden eyepiece is 4 cm. Then the distance of the cross wires from the eye lens is:**

a) 1.5 cm

b) 1.0 cm

c) 5.0 cm

d) 5.5 cm

**15) Two coherent sources whose intensity ratio is 64 : 1 produce interference fringes. The ratio of intensities of maxima and minima is:**

a) 9 : 7

b) 8 : 1

c) 81 : 49

d) 81 : 7

**16) Two capacitors of capacitance 1µF and C µF are connected in series and the combination is charged to a potential difference of 120 V. If the charge on the combination is 80 µC, the energy stored in the capacitor of capacity C in micro Joules is:**

a) 1800

b) 1600

c) 14400

d) 7200

**17) The intensity of the magnetic induction field at the center of a single turn circular coil of radius 5 cm carrying current of 0.9 A:**

a)36Π x 10-7 T

b) 9Π x 10-7 T

c) 36Π x 10-6 T

d) 9Π x 10-6 T

**18) The time constant of inductance coil is 3 m sec. When a 90 Ω resistance is joined in series then the time constant becomes 0.5 m sec. The inductance and the resistance of the coil are:**

a) 54 mH, 18 Ω

b) 14 mH , 42Ω

c) 42 mH , 14Ω

d) 14 mH , 60 Ω

**19) Three particles α-particle, proton and deuteron are accelerated by the same potential difference.The velocities of them are in the ratio:**

a) 1 : √2 : 1

b) √2 : 1 :1

c) 1:2:4

d) 4 : 2: 1

**20)A transistor having a β equal to 80 has a change in base current of 250 µA, then the change in collector current is:**

a) 20,000 mA

b) 200 mA

c) 2000 mA

d) 20 mA

**CHEMISTRY**

**21) Which one of the following transitions of an electron in hydrogen atom emits radiation of the lowest wavelength?**

a) n2 = ∞ to n1 = 2

b) n2 = 4 to n1 = 3

c) n2 = 2 to n1 = 1

d) n2 = 5 to n1 = 3

**22) Which one of the following conditions is incorrect for a well behaved function(ᵠ) ?**

a) must be finite

b) must be single valued

c) must be infinite

d) must be continuous

**23) The ratio of anion radius to cation radius of a crystal is 10 : 9.3. Then the coordination number of the cation in the crystal is:**

a)2

b) 6

c) 4

d) 8

**24) If BaCl2 ionizes to an extent of 80‰ in aqueous solution, the value of Van’t Hoff Factor is:**

a) 2.6

b) 0.4

c) 0.8

d) 2.4

**25)A system is provided with 50 joules of heat and the work done on the system is 10 joules. What is the change in the internal energy of the system in joules?**

a) 60

b) 50

c) 40

d) 10

**26) A micelle formed during the cleansing action by soap is:**

a) A discrete particle of soap

b) Aggregated particles of soap and dirt

c) A discrete particle of dust

d) An aggregated particle of dust and water

**27)Solvay process is used in the manufacture of:**

a) K2CO3

b) KHCO3

c) Na2CO3

d) CaCl2

**28)which one of the following is the mineral for tin?**

a) galena

b) cerussite

c) cassiterite

d) anglesite

**29) Helium mixed with oxygen is used in the treatment of:**

a) beri beri

b) burning feet

c) joints burning

d) asthma

**30)Which one of the following is formed apart from sodium chloride when chlorine reacts with hot concentrated sodium hydroxide?**

a) NaOCl

b) NaClO3

c) NaClO2

d) NaClO4

pdf for EAMCET chemistry paper

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