JEE Questions

A lift is moving down with acceleration a

Kinematics

A lift is moving down with acceleration a. A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively

g, g
a, g
g-a, g-a
g-a, g

From a building two balls A and B are thrown such that

Work Energy

From a building two balls A and B are thrown such that A is thrown upwards A and B downwards (both vertically). If v_A and v_B are their respective velocities on reaching the ground, then

their velocities depend on their masses
V_B > V_A
V_A = V_B
V_A > V_B

Which represents the correct dimensions of the coefficient of viscosity

Measurement

Which one of the following represents the correct dimensions of the coefficient of viscosity?

ML^-2T^-2
MLT^-1
ML^-1T^-1
ML^-1T^-2

Dimensions of 1/μoεo, where symbols have their usual meaning

Measurement

Dimensions of 1/μ_oε_o, where symbols have their usual meaning, are

[L²T^–2]
[LT^–1]
[L^–2T²]
[L^–1T]

Which units denotes the dimensions ML^2/Q^2

Measurement

Which of the following units denotes the dimensions ML²/Q², where Q denotes the electric charge?

weber (Wb)
H/m²
Wb/m²
henry (H)

The physical quantities not having same dimensions are

Measurement

The physical quantities not having same dimensions are

torque and work
stress and Young's modulus
speed and (μ₀ε₀)^–1/2
momentum and Planck's constant

Identify the pair whose dimensions are equal

Measurement

Identify the pair whose dimensions are equal

force and work
torque and work
stress and energy
force and stress

The dimension of magnetic field in M, L, T and C

Measurement

The dimension of magnetic field in M, L, T and C (coulomb) is given as

MT^–1C^–1
MLT^–1C^–1
MT²C^–2
MT^–2C^–1

If |z - 4/z| = 2, then the maximum value of |Z| is equal to

Complex Numbers

If |z - 4/z| = 2, then the maximum value of |Z| is equal to

√3 + 1
√5 + 1
2 + √2
2

If w (≠1) is a cube root of unity and (1 + w)^7 = A + Bw

Complex Numbers

If w (≠1) is a cube root of unity and (1 + w)⁷ = A + Bw. Then (A, B) equals to

(1, 1)
(1, 0)
(0, 1)
(-1, 1)

The Number of complex numbers z such that |z – 1| = |z + 1| = |z – i| equals

Complex Numbers

The Number of complex numbers z such that |z – 1| = |z + 1| = |z – i| equals

0
1
2
infinity

Let a = j - k and c = i - j - k. Then the vector b satisfying a x b + c = 0 and a.b = 3 is

Vectors

Let a = j - k and c = i - j - k. Then the vector b satisfying a x b + c = 0 and a.b = 3 is

i - j - 2k
i + j - 2k
2i - j + 2k
-i + j - 2k

If |a| = 4, |b| = 2 and the angle between a and b is π/6

Vectors

If |a| = 4, |b| = 2 and the angle between a and b is π/6, then (a × b)² is equal to

a, b and c are 3 vectors, such that a + b + c = 0, |a| = 1, |b| = 2|c|

Vectors

a, b and c are 3 vectors, such that a + b + c = 0, |a| = 1, |b| = 2|c|, then a.b + b.c + c.a is equal to

1
0
-7
7

Let a and b be two unit vectors. If the vectors c = a + 2b and d = 5a - 4b

Vectors

Let a and b be two unit vectors. If the vectors c = a + 2b and d = 5a - 4b are perpendicular to each other, then the angle between a and b is

π/4
π/6
π/2
π/3

Let two numbers have arithmetic mean 9 and geometric mean 4

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation

x² + 18x + 16 = 0
x² - 18x - 16 = 0
x² - 18x + 16 = 0
x² + 18x - 16 = 0

A man saves Rs. 200 in each of the first three months of his service

Quadratic Equations

A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after

18 months
19 months
20 months
21 months

If α ≠ β but α^2 = 5α - 3 and β^2 = 5β - 3, then the equation having

Quadratic Equations

If α ≠ β but α² = 5α - 3 and β² = 5β - 3, then the equation having α/β and β/α as its roots is

3x² - 19x - 3 = 0
3x² - 19x + 3 = 0
x² - 5x + 3 = 0
3x² + 19x - 3 = 0

Let a and b be roots of the equation px^2 + qx + r, p ≠ 0

Let a and b be roots of the equation px² + qx + r, p ≠ 0. If p, q, r are in A.P. and 1/a + 1/b = 4, then the value of |a - b| is

2√17 / 9
√61 / 9
√34 / 9
2√13 / 9

The domain of the function f(x) = 1/√(|x| - x) is

Relations Functions

The domain of the function f(x) = 1/√(|x| - x) is

(0,∞)
(-∞,0)
(-∞,∞)
(-∞,∞) - {0}

The function f(x) = log (x + √(x^2 +1)), is

Relations Functions

The function f(x) = log (x + √(x² +1)) is

an even function
an odd function
neither an even nor an odd function
a periodic function

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation

Relations Functions

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is

not symmetric
transitive
reflexive
a function

If a ϵ R and the equation -3(x - [x])^2 + 2(x - [x]) + a^2 = 0 has no integral solution

Relations Functions

If a ϵ R and the equation -3(x - [x])² + 2(x - [x]) + a² = 0 (where [x] denotes the greatest integer ≤ x) has no integral solution, then all possible values of a lie in the interval

(-1, 0) U (0, 1)
(-2, -1)
(1, 2)
(-∞, -2) U (2, ∞)

Let A and B be two sets containing four and two elements respectively

Sets

Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set A × B, each having at least three elements is

If A, B and C are three sets such that

Sets

If A, B and C are three sets such that A ∩ B = A ∩ C and A ∪ B = A ∪ C, then

B = C
A = C
A ∩ B = φ
A = B

Which of the following is the energy of a possible excited state of hydrogen

Atomic Structure

Which of the following is the energy of a possible excited state of hydrogen?

- 6.8 eV
- 3.4 eV
+ 6.8 eV
+ 13.6 eV

The ionic radii (in Å) of N3–, O2– and F– are respectively

Periodic Properties

The ionic radii (in Å) of N^3–, O^2– and F^– are respectively

1.36, 1.71 and 1.40
1.71, 1.40 and 1.36
1.71, 1.36 and 1.40
1.36, 1.40 and 1.71

The color of KMnO4 is due to

df-Block

The color of KMnO₄ is due to

d – d transition
L → M charge transfer transition
σ – σ* transition
M → L charge transfer transition

Which of the following compounds is not an antacid

Everyday Life Chem

Which of the following compounds is not an antacid?

Cimetidine
Phenelzine
Ranitidine
Aluminium hydroxide

In the context of the Hall-Heroult process for the extraction of Al

Isolation Metals

In the context of the Hall-Heroult process for the extraction of Al, which of the following statements is false?

Al₂O₃ is mixed with CaF₂ which lowers the melting point of the mixture and brings conductivity
Al³⁺ is reduced at the cathode to form Al
Na₃AlF₆ serves as the electrolyte
CO and CO₂ are produced in this process

Which polymer is used in the manufacture of paints and lacquers

Polymers

Which polymer is used in the manufacture of paints and lacquers?

Glyptal
Polypropene
Poly vinyl chloride
Bakelite

In a compound C, H and N atoms are present in 9:1:3.5 by weight

Stoichiometry

In a compound C, H and N atoms are present in 9:1:3.5 by weight. Molecular weight of compound is 108. Molecular formula of compound is

C₉H₁₂N₃
C₃H₄N
C₆H₈N₂
C₂H₆N₂

Number of atoms in 558.5 gram Fe is

Atomic Structure

Number of atoms in 558.5 gram Fe (atomic weight of Fe = 55.85 g mol^–1) is

twice that in 60 g carbon
half that in 8 g He
6.023 × 10²²
558.5 × 6.023 × 10²³

The de Broglie wavelength of a tennis ball of mass 60 g

Atomic Structure

The de Broglie wavelength of a tennis ball of mass 60 g moving with a velocity of 10 metres per second is approximately (Planck's constant, h = 6.63 × 10^–34 Js)