Legal Metrology • Physics Paper-III
The motion of an object can be approximated accurately by classical mechanics when
A)
The dimension of the object is small compared to the de Broglie wavelength of the object
B)
The dimension of the object is large compared to the de Broglie wavelength of the object
C)
The momentum of the object is very small compared to the Planck’s constant
D)
The object is very small
In the context of Unmapped / long tail, the most appropriate and technically accurate answer is 'The momentum of the object is very small compared to the Planck’s constant' (Option C).
Legal Metrology • Physics Paper-III
When a JFET is operated beyond the pinch-off voltage
A)
Drain current remains nearly constant
B)
Drain current started rapidly increasing
C)
Drain current started rapidly decreasing
D)
The depletion region becomes smaller
In the context of Electrical / Electronics Engineering, the most appropriate and technically accurate answer is 'Drain current remains nearly constant' (Option A).
Legal Metrology • Physics Paper-III
In intrinsic semiconductor
A)
The number of conduction electrons and holes are same
B)
There are more conduction electrons than holes
C)
There are less conduction electrons than holes
D)
There are no conduction electrons and holes at any temperature
In the context of Electrical / Electronics Engineering, the most appropriate and technically accurate answer is 'There are less conduction electrons than holes' (Option C).
Legal Metrology • Physics Paper-III
In photoelectric effect, the energy of the electron knocked out by the photon is
A)
Independent of the intensity of the incident light
B)
Independent of the wavelength of the incident light
C)
Independent of the frequency of the incident light
D)
Independent of the intensity, wavelength and frequency of the incident light
In the context of Unmapped / long tail, the most appropriate and technically accurate answer is 'Independent of the intensity of the incident light' (Option A).
Legal Metrology • Physics Paper-III
In central force between two bodies, the direction of the force is
A)
Perpendicular to the line joining the two bodies
B)
Along the line joining the two bodies
C)
Opposite to the velocities of the bodies
D)
Same direction as the velocities of the bodies
A central force acts along the line joining the two bodies.
Legal Metrology • Physics Paper-III
If A = [4], then 5A is
A)
5A
B)
4A
C)
2A
D)
A
In the context of Quantitative Aptitude, the most appropriate and technically accurate answer is '2A' (Option C).
Legal Metrology • Physics Paper-III
The experiment which confirms the wave nature of electrons is
A)
Davisson-Germer experiment
B)
Stern-Gerlich experiment
C)
Rutherford experiment
D)
Millikan experiment
In the context of Unmapped / long tail, the most appropriate and technically accurate answer is 'Stern-Gerlich experiment' (Option B).
Legal Metrology • Physics Paper-III
The inverse of a matrix A is given by
A)
A^-1 = adj A
B)
A^-1 = det A adj A
C)
A^-1 = (1/det A) adj A
D)
A^-1 = adj A / det A
For a nonsingular matrix, A⁻¹ = adj(A)/det(A).
Legal Metrology • Physics Paper-III
In the circuit shown below, what is the logic gate in the question mark? (Refer to image in paper)
A)
AND
B)
OR
C)
NOT
D)
NAND
Based on established principles in Electrical / Electronics Engineering, the correct and most clinically/technically appropriate choice is 'NOT' (Option C).
Legal Metrology • Physics Paper-III
If I_B, I_C, and I_E respectively represent the base, collector and emitter current of a transistor, which of the following is correct?
A)
I_E = I_B + I_C
B)
I_B = I_E + I_C
C)
I_C = I_B + I_E
D)
I_B + I_C + I_E = 0
Based on established principles in Electrical / Electronics Engineering, the correct and most clinically/technically appropriate choice is 'I_B + I_C + I_E = 0' (Option D).
Legal Metrology • Physics Paper-III
If A = [[1, 0, 0], [0, 2, 1], [0, 0, 1]], then AB is (Refer to matrix B in paper)
A)
Option A
B)
Option B
C)
Option C
D)
Option D
In the context of Quantitative Aptitude, the most appropriate and technically accurate answer is 'Option B' (Option B).
Legal Metrology • Physics Paper-III
If the area swept out in time T by a planet orbiting around the sun is A, then the area swept out in time 2T will be
A)
A
B)
2A
C)
4A
D)
8A
Kepler's second law (law of equal areas) states that areal velocity is constant. Thus, in time 2T, the area swept is 2A.
Legal Metrology • Physics Paper-III
What will happen to intrinsic semiconductor if we doped it with pentavalent impurities?
A)
The conductivity of the semiconductor will decrease
B)
The number of holes in the valence band will increase
C)
The number of conduction electrons will increase
D)
The conduction band becomes wider
In the context of Electrical / Electronics Engineering, the most appropriate and technically accurate answer is 'The conduction band becomes wider' (Option D).
Legal Metrology • Physics Paper-III
We send one electron at a time through a double slit. After we send many electrons through the slits, the intensity distribution of electrons hitting a screen behind the slits will be
A)
Similar to that of bullets fired toward the slits
B)
Uniform
C)
Similar to interference pattern of waves
D)
Gaussian
In the context of Unmapped / long tail, the most appropriate and technically accurate answer is 'Gaussian' (Option D).
Legal Metrology • Physics Paper-III
How does the momentum operator p_x act on the wave-function?
A)
p_x ψ(x,y,z) = x ψ(x,y,z)
B)
p_x ψ(x,y,z) = ψ(x,y,z)
C)
p_x ψ(x,y,z) = ∂ψ/∂x
D)
p_x ψ(x,y,z) = -ih ∂ψ/∂x
In the context of Unmapped / long tail, the most appropriate and technically accurate answer is 'p_x ψ(x,y,z) = x ψ(x,y,z)' (Option A).
Legal Metrology • Physics Paper-III
A particle is inside a box V, then the wave-function of the particle satisfy
A)
∫∫∫ ψ* ψ dx dy dz = 1
B)
∫∫∫ ψ ψ dx dy dz = 1
C)
∫∫∫ ψ* dx dy dz = 1
D)
∫∫∫ ψ dx dy dz = 1
In the context of Unmapped / long tail, the most appropriate and technically accurate answer is '∫∫∫ ψ* ψ dx dy dz = 1' (Option A).
Legal Metrology • Physics Paper-III
The characteristic equation for finding the eigenvalues λ of a matrix A is given by
A)
det(A - λI) = 0
B)
det(A + λI) = 0
C)
det(A - λI) = A
D)
det A = λ
Eigenvalues satisfy det(A−λI)=0.
Legal Metrology • Physics Paper-III
Which of the following is true?
A)
Conduction electrons are more mobile than holes
B)
Conduction electrons are less mobile than holes
C)
Conduction electrons and holes have same mobility
D)
Conduction electrons may be more or less mobile than holes depending on the temperature
Based on established principles in Electrical / Electronics Engineering, the correct and most clinically/technically appropriate choice is 'Conduction electrons may be more or less mobile than holes depending on the temperature' (Option D).
Legal Metrology • Physics Paper-III
Which of the following is true for any matrices A and B?
A)
(AB)^T = B^T A^T
B)
(AB)^T = A^T B^T
C)
(AB)^T = AB
D)
(AB)^T = BA
Transpose reverses multiplication order: (AB)ᵀ=BᵀAᵀ.
Legal Metrology • Physics Paper-III
Fourier transforms of periodic odd function contain
A)
Sine terms only
B)
A constant term only
C)
A constant and cosine terms only
D)
A constant and sine terms only
An odd periodic function has zero cosine and constant terms, leaving sine terms only.
Legal Metrology • Physics Paper-III
The determinant of non-invertible matrix is
A)
Even numbers
B)
Zero
C)
Imaginary numbers
D)
Odd numbers
A matrix is non-invertible iff its determinant is zero.
Legal Metrology • Physics Paper-III
Which of the following is true for any matrices A and B?
A)
(AB)^* = B^* A^*
B)
(AB)^* = A^* B^*
C)
(AB)^* = AB
D)
(AB)^* = BA
For conjugate transpose, (AB)*=B*A*.
Legal Metrology • Physics Paper-III
In n-channel JFET, increasing the value of gate-source voltage
A)
Increases the drain current
B)
Increases the depletion region
C)
Decreases the drain current
D)
Drain current is not affected by gate-source voltage
Based on established principles in Electrical / Electronics Engineering, the correct and most clinically/technically appropriate choice is 'Decreases the drain current' (Option C).
Legal Metrology • Physics Paper-III
The commutation relation between position and momentum operator in quantum mechanics is
A)
[x, p] = 0
B)
[x, p] = ih
C)
[x, p] = 1
D)
[x, p] = 1/h
In the context of Unmapped / long tail, the most appropriate and technically accurate answer is '[x, p] = 1/h' (Option D).
Legal Metrology • Physics Paper-III
According to Kepler’s first law, the orbit of the planets around the sun is
A)
Circular
B)
Parabolic
C)
Elliptical
D)
Spiral
Kepler’s first law states that planetary orbits are ellipses with the Sun at one focus.
