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Question Bank

CSIR NET Physical Science Exam - English

Duration: 180 · Questions: 55 · Max Marks: 55 · Language: 1

View CSIR NET Physical Sciences 2026 Exam Page

Part A

1
How many such pairs of letters are there in the word ‘CLEANLINESS’ each of the which has as many letters between them in the word as they have in the English alphabet, in the same sequence?
  1. A.Two
  2. B.Three
  3. C.Five
  4. D.Four
  5. E.None of these
2
Team A has scored more goals than Team B
Team C has scored fewer goals than Team B
Team A has scored fewer goals than Team C .
If the first two statements are true, the third statement is
  1. A.True
  2. B.False
  3. C.Uncertain
  4. D.None
3
If it is possible to make only one meaningful word with the second, the third, the sixth and the eight letters of the word FRAGMENT using each only once, which of the following will be the third letter of that word ? If no such word can be formed, give ‘X’ as the answer and if more than one such word can be formed, give ‘Y’ as the answer.
  1. A.A
  2. B.E
  3. C.T
  4. D.X
  5. E.Y
4
How many such letters are there in the word ORIENTAL each of which is as far away from the beginning of the word as when they are arranged alphabetically?
  1. A.None            
  2. B.One         
  3. C.Two       
  4. D.Three        
  5. E.More than three
5
How many such pairs of letters in the word CREDIT each of which has as many letters between them in the word as in the English alphabet?
  1. A.None
  2. B.One
  3. C.Two
  4. D.Three
  5. E.More than three
6
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:__________ ?
  1. A.51:52
  2. B.52:53
  3. C.51:53
  4. D.52:55
7
Which of the following numbers is irrational ?
  1. A.√49
  2. B.0.125
  3. C.√2
  4. D.22/7
8
356 x 936 – 356 x 836 = ?
  1. A.35600  
  2. B.34500
  3. C.9630
  4. D.93600
9
Arrange in descending order: 5/8, 7/10, 3/4
  1. A.3/4 > 7/10 > 5/8
  2. B.7/10 > 3/4 > 5/8
  3. C.3/4 > 5/8 > 7/10
  4. D.5/8 > 7/10 > 3/4
10
What is (3^{4} times 9^{2}) ?
  1. A.36
  2. B.38
  3. C.310
  4. D.96
     
11
How many employees of bank ‘X’ opted for VRS ?
(I) 18% of the 950 officer cadre employees and 6% of the 1100 of all other cadre employees opted for VRS.

(II) 28% of the employees in the age group of 51 to 56 and 17% of the employees in all other age groups opted for VRS.
  1. A.Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
  2. B.Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient
  3. C.BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
  4. D.EACH statement ALONE is sufficient
12
The area of a playground is 1600 square meters. What is its perimeter ?
(I) It is a perfect square playground
(II) It costs Rs.3200 to put a fence around the playground at the rate of Rs.20 per meter.
  1. A.Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
  2. B.Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient
  3. C.BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
  4. D.EACH statement ALONE is sufficient
13
What is the value of m – n ÷ 37 ?
(I) m is the largest possible six-digit number and n is the smallest possible six-digit number.
(II) The difference between m and n is known.
  1. A.Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
  2. B.Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient
  3. C.BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
  4. D.EACH statement ALONE is sufficient
14
What is the value of x  ?
(I) If 10 is added to x, the result is 34.
(II) If x is multiplied by y, the result is 38.
  1. A.Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
  2. B.Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient
  3. C.BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
  4. D.EACH statement ALONE is sufficient
15
What was the total compound interest on a sum after three years  ?
(I) The interest after one year was Rs. 100 and the sum after was Rs.1000.
(II) The difference between simple and compound interest on a sum of Rs.1000 at the end of two years was Rs.10.
  1. A.Statement (I) ALONE is sufficient, but statement (II) alone is not sufficient
  2. B.Statement (II) ALONE is sufficient, but statement (I) alone is not sufficient
  3. C.BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
  4. D.EACH statement ALONE is sufficient

Part A Part B Part C

1
An inverted cone is filled with water at a constant rate. The volume of water inside the cone as a function of time is represented by the curve :
​
 
  1. A.A
  2. B.B
  3. C.C
  4. D.D
2
A spacecraft flies at a constant height R above a planet of radius R. At the instant the spacecraft is over the north pole, the lowest latitude visible from the spacecraft is :
  1. A.0° (equator)
  2. B.30° N
  3. C.45° N
  4. D.45° N
  5. E.60° N
3
An experiment consists of tossing a coin 20 times. Such an experiment is performed 50 times. The number of heads and the number of tails in each experiment are noted. What is the correlation coefficient between the two ?
  1. A.–1
  2. B.–20 / 50
  3. C.20 / 50
  4. D.1
4
Which of these groups of numbers has the smallest mean ?
Group A : 1, 2, 3, 4, 5, 6, 7, 8, 9
Group B : 1, 2, 3, 4, 6, 6, 7, 8, 9
Group C : 1, 2, 2, 4, 5, 6, 7, 8, 9
​Group D : 1, 3, 3, 4, 5, 6, 7, 9, 9
  1. A.A
  2. B.B
  3. C.C
  4. D.D
5
Identical balls are tightly arranged in the shape of an equilateral triangle with each side containing n balls. How many balls are there in the arrangement ?
  1. A.n2 / 2
  2. B.n (n + 1) / 2
  3. C.n (n – 1) / 2
  4. D.(n + 1)2 / 2

Part B

1
The principle of dimensional homogeneity states that?
  1. A.Both sides of a physical equation must have the same dimensions
  2. B.All physical quantities are dimensionless
  3. C.Dimensions depend on units
  4. D.Constants always have dimensions
2
The dimensional formula of velocity is?
  1. A.[MLT⁻¹]
  2. B.[LT⁻²]
  3. C.[L²T⁻¹]
  4. D.[LT⁻¹]
3
The dimensional formula of acceleration is?
  1. A.[LT⁻¹]
  2. B.[LT⁻²]
  3. C.[L²T⁻²]
  4. D.[MLT⁻²]
4
Which quantity is dimensionless?
  1. A.Momentum
  2. B.Strain
  3. C.Angular momentum
  4. D.Pressure
5
The dimensional formula of force is?
  1. A.[MLT⁻²]
  2. B.[MLT⁻¹]
  3. C.[ML²T⁻²]
  4. D.[ML⁻¹T⁻²]
6
The dimensional formula of energy is?
  1. A.[ML²T⁻²]
  2. B.[MLT⁻²]
  3. C.[ML²T⁻¹]
  4. D.[M²LT⁻²]
7
Dimensional analysis cannot generally determine?
  1. A.Dimensional consistency
  2. B.Numerical dimensionless constants
  3. C.Dimensions of a constant
  4. D.Dependence between physical quantities
8
The dot product of two vectors produces a?
  1. A.Scalar
  2. B.Vector
  3. C.Tensor only
  4. D.Matrix
9
The cross product of two vectors produces a?
  1. A.Vector
  2. B.Scalar
  3. C.Dimensionless number
  4. D.Symmetric matrix
10
If two nonzero vectors have zero dot product, they are?
  1. A.Parallel
  2. B.Perpendicular
  3. C.Antiparallel
  4. D.Identical
11
The magnitude of the cross product of two parallel vectors is?
  1. A.1
  2. B.Zero
  3. C.Infinite
  4. D.Equal to their dot product
12
A unit vector has magnitude?
  1. A.Zero
  2. B.Two
  3. C.One
  4. D.Infinite
13
The scalar triple product represents the signed volume of a?
  1. A.Circle
  2. B.Sphere
  3. C.Parallelepiped
  4. D.Triangle
14
If the scalar triple product of three vectors is zero, the vectors are?
  1. A.Necessarily orthogonal
  2. B.Coplanar
  3. C.Unit vectors
  4. D.Necessarily equal
15
The gradient of a scalar field is a?
  1. A.Vector
  2. B.Scalar
  3. C.Constant
  4. D.Matrix only
16
The divergence of a vector field is a?
  1. A.Vector
  2. B.Scalar
  3. C.Tensor
  4. D.Matrix
17
The curl of a vector field is a?
  1. A.Vector
  2. B.Scalar
  3. C.Number only
  4. D.Determinant only
18
The divergence of the curl of a sufficiently smooth vector field is?
  1. A.Zero
  2. B.One
  3. C.Infinite
  4. D.Equal to its gradient
19
The curl of the gradient of a sufficiently smooth scalar field is?
  1. A.One
  2. B.Zero
  3. C.Scalar
  4. D.Infinite
20
A vector field with zero divergence is called?
  1. A.Irrotational
  2. B.Solenoidal
  3. C.Conservative only
  4. D.Singular

Part C

1
For a self-adjoint operator with homogeneous boundary conditions, the Green function generally obeys which reciprocity relation?
  1. A.G(x,x') = -G(x',x)
  2. B.G(x,x') = G(x',x)
  3. C.G(x,x') = 0 for x
  4. D.G(x,x') is independent of x'
2
The singular derivative jump in a one-dimensional Green function arises because application of the differential operator must produce:
  1. A.a constant
  2. B.a polynomial
  3. C.a step function only
  4. D.a delta function
3
The free-space Green function of the three-dimensional Laplacian, defined by ∇²G = -δ(r-r'), is proportional to:
  1. A.1/|r-r'|
  2. B.ln|r-r'|
  3. C.|r-r'|
  4. D.exp(-|r-r'|²)
4
A retarded Green function differs from an advanced Green function because the retarded one:
  1. A.has support only for causes earlier than effects
  2. B.is always real
  3. C.is time independent
  4. D.has no poles
5
For Laplace's equation in a bounded region, Dirichlet data determine the solution uniquely because of the:
  1. A.maximum principle
  2. B.Nyquist theorem
  3. C.virial theorem
  4. D.Cauchy-Schwarz inequality
6
The classical heat equation is classified as:
  1. A.elliptic
  2. B.algebraic
  3. C.hyperbolic
  4. D.parabolic
7
The classical wave equation is classified as:
  1. A.elliptic
  2. B.parabolic
  3. C.integral
  4. D.hyperbolic
8
The mean-value property of harmonic functions states that the value at the center of a sphere equals:
  1. A.the maximum on the sphere
  2. B.the average over the sphere
  3. C.the minimum on the sphere
  4. D.zero
9
In cylindrical separation of the Helmholtz equation, regular radial solutions at the origin are typically:
  1. A.Neumann Y functions only
  2. B.Bessel Y functions
  3. C.Bessel J functions
  4. D.exponential integrals
10
The width of a freely diffusing Gaussian packet grows asymptotically as:
  1. A.t
  2. B.t²
  3. C.sqrt(t)
  4. D.1/t
11
Near a simple root, Newton-Raphson iteration generally converges:
  1. A.linearly
  2. B.cubically in every case
  3. C.quadratically
  4. D.logarithmically
12
The secant method is attractive because it:
  1. A.requires no function values
  2. B.is exact for all nonlinear equations
  3. C.is always faster than Newton's method
  4. D.avoids explicit derivative evaluation
13
Runge's phenomenon is associated mainly with:
  1. A.low-order finite differences
  2. B.high-degree interpolation on equally spaced nodes
  3. C.Newton iteration near a simple root
  4. D.Gaussian quadrature
14
Chebyshev nodes reduce endpoint oscillations in polynomial interpolation because they:
  1. A.eliminate roundoff completely
  2. B.are equally spaced
  3. C.cluster toward the endpoints
  4. D.make every function polynomial
15
Richardson extrapolation improves an approximation by:
  1. A.converting an ODE into an algebraic equation
  2. B.adding random perturbations
  3. C.reducing machine precision
  4. D.canceling the leading step-size error using multiple resolutions
Question for CSIR NET Physical Sciences 2026 - Quiz / Questions / MCQ - Toppersexam