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Vectors NEET Questions for Students
The angle made by 3i+23j with Z-axis
1.90⁰
2.45°
3.0°
4.60°
Option 1 - 90⁰
The magnitude of the cross product of two vectors is equal to the magnitude of the dot product of the same two vectors. Then the angle between them is
1.0°
2. 45°
3.60°
4.90°
Option 2 - 45°
The vector parallel to A-8i+15j and having a magnitude of 51 units are
1. 32i+48j
2. 32i+24j
3. 24i+45j
4. 16i+30j
Option 3 - 24i+45j
The vector parallel to 2i+3j-8k is
1. 4i+3j-16k
2. 6i+9j-8k
3. 8i+8j-24k
4. 6i+9j-24k
Option 4 - 6i+9j-24k
If A=4i-j, B=2i+j then the unit vector perpendicular to A, B is
1. i
2. j
3. k
4. i x k
Option 3 - k
The vectors A and B are along X, and Y-axes respectively. The vector AxB is along
1. X-axis
2. Y-axis
3. Z-axis
4. X or Y-axis
Option 3 - Z-axis
A = -2i+3j-4k, B=3i+4j+5k. Then AXB =
1. 5i-j+k
2. 6i-12j-20k
3. -i+7j-9k
4. 31i-2j-17k
Option 4 - 31i-2j-17k
A force F = 10i+4j-2k acts on a body from a point at a distance of S = 21-4j-2k. The torque acting on the body is
1. 12i+16j+4k
2. 16i-16j+48k
3. 12i+16j-4k
4. 12i-16j+4k
Option 2 - 16i-16j+48k
The vector having magnitude 10 units and opposite to 6i-8j is
1.6i-8j
2.-6i+8j
3.-8i+6j
4.-8i-6j
Option 2 - -6i+8j
If the sum of the vectors of two forces is perpendicular to the difference of the vectors, that forces are
1. equal to one another
2. equal in magnitude
3. magnitude is not equal
4. not assumable
Option 4 - not assumable
A body has linear displacement 3i+4j+2k and linear momentum 2i-3j+2k. Then its angular momentum is
1. 5i+j+4k
2. i-7j+4k
3. 14i-2j-17k
4. 6i-12j+4k
Option 3 - 14i-2j-17k
The vector perpendicular to F=4i-3j.
1.4i+3j
2.61
3.7k
4.3i-4j
Option 3 - 7k
The work done by two forces 2i+2j+5k, 3i-5j-4k on a body to displace it by a distance of 18i+17j-7k is
1.63 units
2.38 units
3.32 units
4. 28 units
Option 3 - 32 units
The work done by a force is W=F.S but if W=0
1. F and S are in the same direction
2. F and S are perpendicular to each other
3. F and S are perpendicular to each other in opposite directions
4. The angle between F and S is not 90°
Option 2 - F and S are perpendicular to each other
Find the area of the triangle having adjacent sides A-3i-4j, B=5i-7j
1. 19.5
2. 0.5
3. 43.5
4. 84.5
Option 2 - 0.5
Three forces a(i-j+k), (2i-3j+4k), and (8i-7j+6k) act on a body and are kept in equilibrium. Then the value of 'a' is
1.-8
2.-10
3.12
4.7
Option 2 - -10
Which of the following is a scalar?
(A) Energy of thermal neutron
(B) Electric field
(C) Velocity of air
(D) Torque
Option a - Energy of thermal neutron
The SI units of specific heat are
(A) Joule
(B) Joule/kg-K
(C) Joule/K
(D) Joule/mole-K
Option b - Joule/kg-K
The wavelength of light is 60 microns. Its value in meters is
(A) 0.000006 m
(B) 0.06 m
(C) 0.00006 m
(D) 0.0006 m
Option c - 0.00006 m
If the error encountered while performing the experiment is due to fluctuation of voltage then, the most possible error will be
(A) system error.
(B) personal error.
(C) random error.
(D) instrumental error.
Option c - random error.
Assertion: Out of the four measurements x = 0.5 m, x = 0.50 m, x = 0.500 m, and x = 0.5000 m, the last one is more accurate. Reason: In every measurement, only the last significant digit is not accurately known.
(A) Assertion is True, Reason is True; Reason is a correct explanation for Assertion.
(B) Assertion is True, Reason is True; Reason is not a correct explanation for Assertion.
(C) The assertion is True, Reason is False.
(D) Assertion is False, Reason is True.
Option a - Assertion is True, Reason is True; Reason is a correct explanation for Assertion.
The velocity of a racing car recorded by four sensors is 150 m/s, 151 m/s, 152 m/s, and 149 m/s respectively. The average absolute error is
(A) 0.2 m/s
(B) 1 m/s
(C) 0.5 m/s
(D) 2 m/s
Option b - 1 m/s
The length and breadth of a metal sheet are 4.28 m and 2.06 m respectively. The area of the sheet up to correct significant figures is
(A) 8.83 m²
(B) 8.82 m²
(C) 8.816 m²
(D) 8.817 m²
Option b - 8.82 m²
Joule/second is equal to
(A) watt
(B) pascal
(C) tesla
(D) farad
Option a - watt
The length of a simple pendulum is about 90 cm known to have an accuracy of 2 mm. A clock of resolution 0.2 s is used to measure time for 200 oscillations. If the period of oscillation of a simple pendulum is 2 s, then what is the accuracy in the determined value of g?
(A) 20%
(B) 50 %
(C) 10%
(D) 30%
Option a - 20%
Assertion: Nuclear radii can be measured by the Fermi unit. Reason: Micron and angstrom are not considered the correct unit to measure nuclear radii as these are larger units.
(A) The assertion is True, Reason is True; Reason is a correct explanation for Assertion.
(B) The assertion is True, and Reason is True; Reason is not a correct explanation for Assertion.
(C) The assertion is True, Reason is False.
(D) The assertion is False, Reason is True.
Option a - The assertion is True, Reason is True; Reason is a correct explanation for Assertion.
The dimensional representation of latent heat is identical to that of
(A) angular momentum.
(B) gravitational potential.
(C) electric potential.
(D) internal energy.
Option b - gravitational potential.
If l = 4.221 cm, b = 2.1 cm, then l + b is equal to
(A) 6.31 cm
(B) 6 cm
(C) 6.62 cm
(D) 6.3 cm
Option d - 6.3 cm
What will be the magnitude of two forces if their magnitudes are in the ratio 1: 2, the angle between their direction is 30° and the magnitude of their resultant force is 30 N?
(A) 10.31 N, 20.62 N
(B) 9.63 N, 18.64 N
(C) 6.22 N, 12.44 N
(D) 1.26 N, 3.13 N
Option a - 10.31 N, 20.62 N
A boat can travel 8km and comes back in still water. Find the time taken 2 hrs for the same distance in water having a velocity of 4km/hr.
1. 2 hr 20 min
2. 2hr 40 min
3. 1 hr 20 min
4. 3hr 30 min
Option 2 - 2hr 40 min
A man walking with a certain velocity in rain feels that the relative velocity of rain is double his velocity. What should be the angle of his umbrella?
1.30⁰
2.45°
3.60°
4.90°
Option 1 - 30⁰
Which of the following is a scalar?
1. Electric current
3. Acceleration
4. Linear momentum
Option 1 - Electric current
Which of the following is a Vector?
2. Electric current
3. The intensity of the electric field
4. Electric potential
Option 3 - The intensity of the electric field
The A+B vector is in one plane and 'C' is in another plane. Then the plane of A+B+C is
1. in A+B plane
2. in B+C plane
3. not zero
4. may be zero
Option 3 - not zero
P = ai+aj+zk, Qai-2j-k are perpendicular to each other. Then, the positive value of 'a' is
1.3
2.2
3.1
4.0
Option 1 - 3
The general representation of a physical quantity is
1. Scalar
2. Tensor
3. Vector
4. Not defined
Option 2 - Tensor
Sum of two vectors
1. Scalar
2. Vector
3. Tensor
4. None of these
Option 2 - Vector
The product of Sealar & Vector is
1. Scalar
2. Vector
3. Tensor
4. None of these
Option 2 - Vector
The cross-product of two vectors is
1. Scalar
2. Vector
3. Tensor
4. None of these
Option 2 - Vector
Which of the following is a scalar?
1. velocity
2. acceleration
3. length
4. force
Option 3 - length
Which of the following is a vector quantity?
1. Distance
2. Mass
3. Work
4. Force
Option 4 - Force
The product of two scalars is
1. Vector
2. Tensor
3. Scalar
4. None of these
Option 3 - Scalar
The work done in moving an object along a vector r = 3i + 2j- 5k, if the applied force is F = 2i-j-k is
1. 2
2. 5
3. 9
4.11
Option 3 - 9
An equation for the plane perpendicular to the vector A = 2i + 3j + 6k and passing through the terminal point of the vector B = i + 5j + 3k is
1. 2x + 3y + 6z = 35
2. 3y + 2z = 2
3. x-2y-5z = 6
4. None
Option 1 - 2x + 3y + 6z = 35
A particle moves from position r₁ = 3i + 2j 6k to position r₂ = 14i + 13j + 9k under the action of force F = (4i+j+ 3k). The work done by the force is
1. 50 units
2. 75 units
3. 100 units
4. 200 units
Option 3 - 100 units
At what value of 'a' so that A = 2i + aj + k and B = 4i - 2j - 2k are perpendicular
1. 1
2. 2
3. 3
4. 4
Option 3 - 3
Two forces acting in opposite directions have a resultant of 10 N. If they act at right angles to each other, the result is 50 N. Then the magnitudes of forces are
1. 20 N, 30 N
2. 40 N, 30 N
3. 25 N, 40 N
4. 50 N, 60 N
Option 2 - 40 N, 30 N
Two vectors A and B are such that IA-BI = ICI and A - B = C. The angle between them is
1. 0°
2. 30°
3. 45°
4. None
Option 1 - 0°
Two vectors A and B are such that IAI = IA-BI. The angle between them is IBI=
1. 0°
2. 60°
3. 90⁰
4. 120°
Option 2 - 60°
The resultant of two forces of magnitudes 5 N and 10 N cannot be
1. 4 N
2. 6 N
3. 9 N
4. 13 N
Option 1 - 4 N
Two non-zero vectors A and B are such that IA+ BI= IA-BI. The angle between them is
1. 0°
2. 90°
3. 120°
4. None
Option 2 - 90°
If F = 4i + 10j and F=5i - 4j then rxF=
1. - 66k
2. 66k
3. 77k
4. None
Option 2 - 66k
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