Model Test Paper

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Model Test Paper

School of Research & Technology (Engineering College)

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Q.1 A circular disc rolls down an inclined plane. The ratio of the total kinetic energy to the rotational kinetic energy is:

1 point

1 : 3

3 : 1

2 : 3

3 : 2

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Q.2 The radiation corresponding to 3 → 2 transition of hydrogen atom falls on a metal surface to produce photo electrons. These electrons are made to enter a magnetic field of 3 × 10^−4 T. If the radius of the largest circular path followed by these electrons is 10.0 mm, the work function of the metal is close to:

1 point

0.8 eV

1.6 eV

1.8 eV

1.1 eV

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Q.3 If a semiconductor has an intrinsic carrier concentration of 1.41 × 10^ 16/m3, when doped with 10^ 21/m3 phosphorous atoms, then the concentration of holes/m3 at room temperature will be

1 point

2 × 10^ 21

2 × 10^ 11

1.41 × 10^ 10

1.41 × 10^ 16

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Q.4 The Gaussian surface for calculating the electric field due to a charge distribution is:

1 point

Any closed surface around the charge distribution

Any surface near the charge distribution

A spherical surface

A symmetrical closed surface at every point of which electric field has a single fixed value

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Q.5 How many electrons are there in ‒1 coulomb?

1 point

6.25 × 10^ 18

62.5 × 10^ 18

6.023 × 10^ 23

1.6 × 10^ -19

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Q.6 The S.I. unit for surface integral of electric field is:

1 point

V/m

NC^ -1 m

Cm^ -3

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Q.7 When an electric dipole is placed in a uniform electric field, it experiences

1 point

Force as well as torque

Torque but no net force

Force but no torque

Neither any force nor any torque

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Q.8. Electric filed is zero in case of a charged conducting shell at any

1 point

Interior point

Outer point

Beyond 2 meters

Beyond 10 meters

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Q9. What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

1 point

1/2 mV^2

mV^2

3/2 mV^2

2 mV^2

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Q.10 Name the structure of silicate in which two oxygen atoms of [SiO4]^4- are shared

0 points

Pyrosilicate

Sheet silicate

Linear chain silicate

Three dimensional silicate

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Q.11 Root mean square velocity of a gas is x ms^-1 at a pressure p atm and temperature T K. If pressure is made 2p under isothermal condition root mean square speed becomes

1 point

x/2

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Q.12 The rms velocity of molecules of a gas of density 4 kg m^-3 and pressure 1.2 × 10^ 5 Nm^-2 is

1 point

900 ms^-1

120 ms^-1

600 ms^-1

300 ms^-1

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Q.13 One gram of silver gets distributed between 10 cm3 of molten zinc and 100 cm3 of molten lead at 800^ o C. The percentage of silver in the zinc layer is approximately(Given: Partition coefficient of Ag in Zn and Pb is 300)

1 point

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Q.14 An amount of solid NH4HS is placed in a flask already containing ammonia gas at a certain temperature and 0.50 atm pressure. Ammonium hydrogen sulphide decomposes to yield NH3 and H2S gases in the flask. When the decomposition reaction reaches equilibrium, the total pressure in the flask rises to 0.84 atm. The equilibrium constant for NH4HS decomposition at this temperature is

1 point

0.30

0.18

0.17

0.11

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Q.15 If A is a square matrix of 3 x 3 order, where |A| = 3, then find out the value of |adjA|.

1 point

1/3

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Q.16 If A and B are two events, where P (A) = 0.2, P (B) = 0.4 and P(A ∪ B) = 0.5. Find the value of P(A/B).

1 point

0.25

0.08

0.1

0.080

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Q.17 Which point does not lie in the half-plane for the given equation: 2x + 3y - 12 ≤ 0 ?

1 point

(2,3)

(-3,2)

(1,2)

(2,1)

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Q.18 Find the value of cos-1 x + cos-1 y, if sin-1 x + sin-1 y = 2π/ 3.

1 point

2π/3

π/2

π/3

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Q.19 Calculate the distance in units between the below-mentioned planes: 3x + 5y + 7z = 3 and 9x + 15y + 21 z = 9.

1 point

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Q.20 A bag has 6 balls out of which 4 balls are black and 2 balls are red. Two balls are drawn at random. What is the probability that the ball drawn are of different colors?

1 point

1/15

8/15

2/5

4/15

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Q.21 Let P and Q be two different matrices of 3 x n and n x p order. Find out the order of P x Q matrix.

1 point

3 x p

p x 3

n x n

3 x 3

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Q.22 Let A and B be invertible matrices of order 3, |A| = 2 and | (AB) -1| = -1/6.Find the value of |B|.

1 point

-5

-3

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Q.23 If the tangent to the curve y2 + 3x - 7 = 0 at the pt. (h,k) and is parallel to the line x - y = 4, the value of k will be :

1 point

-3/2

1/2

3/2

-1/2

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Q.24 The f`(x) notation was used for derivative by ?

1 point

Leibniz

Einstein

Newton

Lagrange

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Q.25 The cross product of two parallel vectors is ?

1 point

parallel

perpendicular

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