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NEET • PHYSICS • MOTION IN PLANE

Motion in plane practice · Easy

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Showing 1-30 of 91 questions
1 Easy
1 of 91
Understanding +4 | -1
Acceleration due to gravity:
View answer and explanation
Correct option: C
Polar vector
Option B (A vector) is correct because acceleration due to gravity has both magnitude and direction.
2 Easy
2 of 91
Understanding +4 | -1
The expression 12i+12j\frac{1}{{\sqrt 2 }}i + \frac{1}{{\sqrt 2 }}j is a
View answer and explanation
Correct option: A
Unit vector
The expression 12i+12j\frac{1}{{\sqrt 2 }}i + \frac{1}{{\sqrt 2 }}j is a unit vector because its magnitude is equal to 1.
3 Easy
3 of 91
Understanding +4 | -1
The angle between vectors (A×B)(\mathbf{A} \times \mathbf{B}) and (B×A)(\mathbf{B} \times \mathbf{A}) is
View answer and explanation
Correct option: B
π\pi
The angle between vectors (A×B)(\mathbf{A} \times \mathbf{B}) and (B×A)(\mathbf{B} \times \mathbf{A}) is π\pi because (B×A)=−(A×B)(\mathbf{B} \times \mathbf{A}) = -(\mathbf{A} \times \mathbf{B}), meaning they are anti-parallel.
4 Easy
4 of 91
Understanding +4 | -1
Four bodies P, Q, RP,\,Q,\,R and SS are projected with equal velocities having angles of projection 15∘, 30∘, 45∘15^\circ ,\,30^\circ ,\,45^\circ and 60∘60^\circ with the horizontal respectively. The body having shortest range is
View answer and explanation
Correct option: A
PP
Option A (PP) is correct because the range is proportional to sin⁡(2θ)\sin(2\theta), and sin⁡(2×15∘)=sin⁡(30∘)\sin(2 \times 15^\circ) = \sin(30^\circ) has the smallest value compared to the other angles.
5 Easy
5 of 91
Application +4 | -1
The resultant of the forces F⃗1=4i^−3j^  and  F⃗2=6i^+8j^{\vec F_1} = 4\hat i - 3\hat j\,\,{\text{and}}\,\,{\vec F_2} = 6\hat i + 8\hat j is
View answer and explanation
Correct option: A
555\sqrt 5
Option A (555\sqrt 5) is correct because it represents the magnitude of the resultant vector obtained by adding the two force vectors.
6 Easy
6 of 91
Application +4 | -1
If a vector i^+2j^−8k^\hat i + 2\hat j - 8\hat k is perpendicular 4j^−4i^+αk^4\hat j - 4\hat i + \alpha \hat k then value of α\alpha is
View answer and explanation
Correct option: B
45689
The dot product of two perpendicular vectors is zero. The velocity vector is perpendicular to the position vector in this case, hence their dot product is zero, making option A correct.
7 Easy
7 of 91
Application +4 | -1
Resultant of which of the following may be equal to zero?
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Correct option: A
10 N,10 N,10 N10 \mathrm{~N}, 10 \mathrm{~N}, 10 \mathrm{~N}
Option A (10 N,10 N,10 N10 \mathrm{~N}, 10 \mathrm{~N}, 10 \mathrm{~N}) is correct because three equal vectors can form a closed triangle, resulting in a zero resultant.
8 Easy
8 of 91
Understanding +4 | -1
Identify the scalar quantity
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Correct option: A
 a→⋅b→\,\overrightarrow a \cdot \overrightarrow b
Option A is correct because the dot product of two vectors results in a scalar quantity.
9 Easy
9 of 91
Application +4 | -1
If Aˉ=iˉ+2kˉ\bar A = \bar i + 2\bar k and Bˉ=iˉ+jˉ−kˉ\bar B = \bar i + \bar j - \bar k. Then Aˉ×Bˉ\bar A \times \bar B is equal to
View answer and explanation
Correct option: C
−2i+3j+k- 2i + 3j + k
Option C (−2i+3j+k- 2i + 3j + k) is correct because it is the result of the cross product of the two given vectors.
10 Easy
10 of 91
Understanding +4 | -1
As a rocket is accelerating vertically upwards at 9.8 ms−29.8 \mathrm{~ms}^{-2} near the earth's surface, it releases a projectile with zero speed relative to rocket. Immediately after release, the acceleration (in ms−2\mathrm{ms}^{-2} ) of the projectile is [take, g=9.8 ms−2g=9.8 \mathrm{~ms}^{-2} ]
View answer and explanation
Correct option: C
9.8 ms−29.8 \mathrm{~ms}^{-2}, down
Option C (9.8 ms−29.8 \mathrm{~ms}^{-2}, down) is correct because immediately after release, the projectile is only under the influence of gravity, resulting in a downward acceleration of g=9.8 ms−2g = 9.8 \mathrm{~ms}^{-2}.
11 Easy
11 of 91
Application +4 | -1
Rain is falling vertically at 20320\sqrt 3 kmph. A man is running at 20 kmph. The angle with vertical at which he should hold his umbrella is
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Correct option: D
30∘30^\circ
Option D (30∘30^\circ) is correct because the angle is found using tan⁡θ=vmanvrain=20203=13\tan \theta = \frac{{v_{man}}}{{v_{rain}}} = \frac{{20}}{{20\sqrt 3 }} = \frac{1}{{\sqrt 3 }}, which implies θ=30∘\theta = 30^\circ.
12 Easy
12 of 91
Application +4 | -1
A body is thrown with a velocity of 9.8 m/s making an angle of 30∘30^\circ with the horizontal. It will hit the ground after a time
View answer and explanation
Correct option: B
1 s1\,s
Option B (1 s1\,s) is correct because the time of flight is calculated using the vertical component of the initial velocity and the acceleration due to gravity.
13 Easy
13 of 91
Understanding +4 | -1
What is the maximum number of components into which a vector can be split
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Correct option: D
Infinity
Option D (Infinity) is correct because a vector can be split into an infinite number of components along different directions.
14 Easy
14 of 91
Application +4 | -1
A projectile is thrown in the upward direction making an angle of 600{60^0} with the horizontal direction with a velocity of 147ms−1147\mathrm{m}{\mathrm{s}^{ - 1}}. Then the time after which its inclination with the horizontal is 450{45^0}, is
View answer and explanation
Correct option: C
5.49 s
Option C (5.49 s) is correct. It involves calculating the time when the vertical component of velocity changes such that the angle with the horizontal becomes 45 degrees.
15 Easy
15 of 91
Understanding +4 | -1
The unit vectors along the three co-ordinate axes are related as
View answer and explanation
Correct option: D
i^=j^=k^=1\hat{\mathrm{i}}=\hat{\mathrm{j}}=\hat{\mathrm{k}}=1
Option D (i^=j^=k^=1\hat{\mathrm{i}}=\hat{\mathrm{j}}=\hat{\mathrm{k}}=1) is correct because unit vectors along coordinate axes have a magnitude of 1.

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UNITS & MEASUREMENTS 392 MCQs WORK-ENERGY-POWER 355 MCQs MECHANICAL PROPERTIES OF FLUIDS 317 MCQs MAGNETIC EFFECT OF CURRENT 282 MCQs THERMAL PROPERTIES OF MATTER 269 MCQs GRAVITATION 258 MCQs
16 Easy
16 of 91
Analyzing +4 | -1
Assertion: Three projectiles are moving in different paths in the air. Vertical component of relative velocity between any of the pair does not change with time as long as they are in air. (Neglecting the effect of air friction)
Reason: Relative acceleration between any of the pair of projection is zero.
View answer and explanation
Correct option: A
If both Assertion and Reason are true and Reason is the correct explanation of Assertion
Option A (If both Assertion and Reason are true and Reason is the correct explanation of Assertion) is correct because the relative acceleration between the projectiles is zero, leading to a constant vertical component of relative velocity.
17 Easy
17 of 91
Understanding +4 | -1
Out of the following quantities, which is scalar?
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Correct option: C
Potential energy
Option C (Potential energy) is correct because potential energy is a scalar quantity, having only magnitude.
18 Easy
18 of 91
Understanding +4 | -1
Assertion At highest point of a projectile, dot product of velocity and acceleration is zero.

Reason At highest point, velocity and acceleration are mutually perpendicular.
View answer and explanation
Correct option: A
If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
Option A is correct because at the highest point, the velocity is horizontal, and the acceleration is vertical (due to gravity), making them perpendicular, hence their dot product is zero.
19 Easy
19 of 91
Application +4 | -1
If A⃗=i^+j^+k^\vec A = \hat i + \hat j + \hat k and B⃗=2i^−j^+4k^\vec B = 2\hat i - \hat j + 4\hat k then the unit vector along A⃗+B⃗\vec A + \vec B is
View answer and explanation
Correct option: C
3i^+5k^34\frac{{3\hat i + 5\hat k}}{{\sqrt {34} }}
Option C (3i^+5k^34\frac{{3\hat i + 5\hat k}}{{\sqrt {34} }}) is correct because it's the unit vector in the direction of the sum of the two vectors.
20 Easy
20 of 91
Analyzing +4 | -1
Assertion: If ∣A⃗+B⃗∣=∣A⃗−B⃗∣|\vec{A}+\vec{B}|=| \vec{A}-\vec{B} \mid, then the angle between A⃗\vec{A} and B⃗\vec{B} is 90∘90^{\circ}.
Reason: A⃗+B⃗=B⃗+A⃗\vec{A}+\vec{B}=\vec{B}+\vec{A}
View answer and explanation
Correct option: B
If both Assertion and Reason are true, but Reason is not the correct explanation of Assertion
Option B (If both Assertion and Reason are true, but Reason is not the correct explanation of Assertion) is correct because both statements are true, but the reason doesn't explain the assertion.
21 Easy
21 of 91
Application +4 | -1
A force 2i^+j^−k^2\hat i + \hat j - \hat k newton acts on a body which is initially at rest. If the velocity of the body at the end of 20 seconds is 4i^+2j^+2k^  ms−14\hat i + 2\hat j + 2\hat k\,\,m{s^{ - 1}}, the mass of the body.
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Correct option: C
10 kg
Option C (10 kg) is correct because it's calculated using Newton's second law, relating force, mass, and acceleration.
22 Easy
22 of 91
Application +4 | -1
The angle between the diagonal of a cube with edges of unit length is
View answer and explanation
Correct option: B
cos⁡−1(13){\cos ^{ - 1}}\left( {\frac{1}{3}} \right)
Option B (cos⁡−1(13)\cos ^{ - 1}\left( {\frac{1}{3}} \right)) is correct because it's the angle between the diagonal of a cube and one of its edges.
23 Easy
23 of 91
Understanding +4 | -1
Two bullets are fired horizontally with different velocities from the same height. Which will reach the ground first?
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Correct option: C
Both will reach simultaneously
Option C is correct because the time to reach the ground depends only on the height and the vertical component of the initial velocity, which is zero in both cases.
24 Easy
24 of 91
Application +4 | -1
The unit vector parallel to the resultant of vectors A→=4i^+3j^+6k^\overrightarrow A = 4\hat i + 3\hat j + 6\hat k and B→=−i^+3j^−8k^\overrightarrow B = - \hat i + 3\hat j - 8\hat k is
View answer and explanation
Correct option: A
17(3i^+6j^−2k^)\frac{1}{7}\left( {3\hat i + 6\hat j - 2\hat k} \right)
Option A (17(3i^+6j^−2k^)\frac{1}{7}\left( {3\hat i + 6\hat j - 2\hat k} \right)) is correct because it's the unit vector in the direction of the resultant vector.
25 Easy
25 of 91
Understanding +4 | -1
Which of the following operations is not defined for any vector A⃗\vec{A} and an integer nn?
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Correct option: D
n+A⃗n+\vec{A}
Option D is correct because adding a scalar (n) to a vector (A⃗\vec{A}) is not a defined operation in vector algebra.
26 Easy
26 of 91
Application +4 | -1
Aˉ\bar A is a vector of magnitude 2.7 units due east. What is the magnitude and direction of vector 4Aˉ4\bar A?
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Correct option: D
10.8 units due east
Option D (10.8 units due east) is correct because multiplying a vector by a scalar multiplies its magnitude by that scalar, while the direction remains the same.
27 Easy
27 of 91
Application +4 | -1
The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is
View answer and explanation
Correct option: A
60∘60^\circ
Option A (60∘60^\circ) is correct because at maximum height, the vertical component of velocity is zero, and the horizontal component is half the initial speed, leading to cos⁡θ=0.5\cos{\theta} = 0.5.
28 Easy
28 of 91
Analyzing +4 | -1
Thirty Six forces each of 5 N act on a body simultaneously. If each force make an angle of 10∘10^\circ with other then their resultant is
View answer and explanation
Correct option: D
Zero
Option D (Zero) is correct because if the forces are equally spaced around a point, their resultant is zero.
29 Easy
29 of 91
Application +4 | -1
A particle has initial velocity (3i+4j)\left( {3i + 4j} \right) and has acceleration (0.4i+0.3j)\left( {0.4i + 0.3j} \right) its speed after 10 s is
View answer and explanation
Correct option: C
727\sqrt 2 units
Option C (727\sqrt 2 units) is correct because it is the magnitude of the final velocity vector after 10 seconds, calculated using vector addition.
30 Easy
30 of 91
Understanding +4 | -1
If A×B=B×A\mathbf{A} \times \mathbf{B}=\mathbf{B} \times \mathbf{A}, then the angle between A\mathbf{A} and B\mathbf{B} is
View answer and explanation
Correct option: A
π\pi
Option A is correct because if A×B=B×A\mathbf{A} \times \mathbf{B}=\mathbf{B} \times \mathbf{A}, it means A×B=−A×B\mathbf{A} \times \mathbf{B} = - \mathbf{A} \times \mathbf{B}, implying they are anti-parallel, hence the angle is π\pi.
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