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QUIZ (level-1)

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Identify the correct statement for a N x N matrix consisting of all ones,

a)

all eigenvalues = 1

b)

all eigenvalues = 0

c)

the eigenvalues are 1, 2, …., N

d)

one eigenvalue = N, the others = 0

2.

The binding energy of the hydrogen atom (electron bound to proton)in its ground state is -13.6 eV. The  binding energy of positronium (electron bound to positron) is

a)

13.6eV-13.6eV  

b)

6.8eV-6.8eV  

c)

3.4eV-3.4eV  

d)

1.7eV-1.7eV  

3.

Which one among the following denotes the lowest temperature?

a)

 1K

b)

1°Re

c)

 1°F

d)

1°C

4.

Which one of the following is diamagnetic?

a)

Aluminium

b)

Bismuth

c)

Iron

d)

Caesium

5.

An object of density (ρ)\left(\rho\right)    partially floats in a liquid with 75% of its volume submerged. The density of the liquid is

a)

34ρ\frac{3}{4}\rho  

b)

85ρ\frac{8}{5}\rho  

c)

2ρ2\rho  

d)

32ρ\frac{3}{2}\rho  

6.

The trace and determinant of a 2x2 matrix is 6 and 8 respectively. Its Eigen values are

a)

3 and 3

b)

3 and -3

c)

2 and 4

d)

-2 and -3

7.

The eye defect that is corrected using a bifocal lens is?

a)

Astigmatism

b)

Hyperopia

c)

Myopia

d)

Presbyopia

8.

A buck converter is used to

a)

step-up the voltage

b)

Exactly double the voltage

c)

Step- down the voltage

d)

Stabilize the voltage

9.

The Peak Inverse Voltage(PIV) of a full wave rectifier with capacitor input filter equals the

a)

primary peak voltage

b)

secondary peak voltage

c)

primary peak to peak voltage

d)

secondary peak to peak voltage

10.

Identify the atom that can be doped with silicon to make it n-type Semiconductor

a)

Aluminium

b)

Boron

c)

Gallium

d)

Phosphorous

11.

Which one of the following crystallographic planes represent (101) Miller indices of a cubic unit cell?

a)
b)
c)
d)
12.

The Fermi-Dirac distribution function [𝑛(𝜀)] is (𝑘𝐵 is the Boltzmann constant, 𝑇 is the temperature and 𝜀𝐹 is the Fermi energy)

a)
b)
c)
d)
13.

If ϕ(x,y,z)\phi\left(x,y,z\right) is a scalar function which satisfies the Laplace equation, then the gradient of ϕ\phi   is

 

a)

solenoidal and irrotational

b)

solenoidal but not irrotational

c)

irrotational but not solenoidal

d)

Neither solenoidal nor irrotational

14.

In a heat engine based on the Carnot cycle, heat is added to the working substance at constant

a)

Entropy

b)

Pressure

c)

Temperature

d)

Volume

15.

Which one of the following arrangements of optical components can be used to distinguish between an unpolarised light and a circularly polarised light?

a)
b)
c)
d)
16.

Let 𝑇𝑔 and 𝑇𝑒 be the kinetic energies of the electron in the ground and the third excited states of a hydrogen atom, respectively. According to the Bohr model, the ratio 𝑇𝑔/𝑇𝑒 is

a)

3

b)

16

c)

4

d)

9

17.

The resultant of the Binary subtraction of 1110101 and 0011110 is

a)

1010111

b)

1001111

c)

1010011

d)

1010001

18.

The equation z2+(z)2 =4z^2+\left(\overline{z}\right)^2\ =4  in the complex plane represents

a)

Ellipse

b)

Circle of radius 2

c)

Hyperbola

d)

Circle of radius 4

19.

The mass per unit length of a rod (length 2 m) varies as ρ = (3x) kg/m. The moment of inertia (in kg m2 ) of the rod about a perpendicular-axis passing through the tip of the rod (at x = 0) is

a)

10

b)

12

c)

14

d)

16

20.

A particle of mass m moving with velocity u1 collides elastically with another particle of same mass moving with velocity u2 in the same direction. After collision their speeds are v1 and v2 respectively then

(A) u1 v1 = v2 + u2

(B) u1 – v1 = v2 + u2

a)

Equation B is correct but not A

b)

Equation A is correct but not B

c)

Both the equations are correct

d)

Both the equations are incorrect