MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 18 Mcqs, each offering curated multiple-choice questions to sharpen your Physics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
If a particle moves from point P (2, 3, 5) to point Q (3,4,5). Its displacement vector be |
| A. | \[\hat{i}+\hat{j}+10\hat{k}\] |
| B. | \[\hat{i}+\hat{j}+5\hat{k}\] |
| C. | 85 m |
| D. | \[2\hat{i}+4\hat{j}+6\hat{k}\] |
| Answer» D. \[2\hat{i}+4\hat{j}+6\hat{k}\] | |
| 2. |
The component of vector \[A=2\hat{i}+3\hat{j}\]along the vector \[\hat{i}+\hat{j}\]is [KCET 1997] |
| A. | \[\frac{5}{\sqrt{2}}\] |
| B. | \[10\sqrt{2}\] |
| C. | Above both |
| D. | 5 |
| Answer» B. \[10\sqrt{2}\] | |
| 3. |
Find the resultant of three vectors \[\overrightarrow{OA},\,\overrightarrow{OB}\] and \[\overrightarrow{OC}\] shown in the following figure. Radius of the circle is R. |
| A. | 2R |
| B. | \[R(1+\sqrt{2})\] |
| C. | 8 metres |
| D. | \[R(\sqrt{2}-1)\] |
| Answer» C. 8 metres | |
| 4. |
A force \[\overrightarrow{F}=-K(y\hat{i}+x\hat{j})\] (where K is a positive constant) acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken along the positive x- axis to the point (a, 0) and then parallel to the y-axis to the point (a, a). The total work done by the forces \[\overrightarrow{F}\] on the particle is [IIT-JEE 1998] |
| A. | \[-2\,K{{a}^{2}}\] |
| B. | \[2\,K{{a}^{2}}\] |
| C. | \[{{927}^{o}}C\] |
| D. | \[K{{a}^{2}}\] |
| Answer» D. \[K{{a}^{2}}\] | |
| 5. |
If a vector \[\overrightarrow{P}\] making angles a, b, and g respectively with the X, Y and Z axes respectively. Then \[{{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +{{\sin }^{2}}\gamma =\] |
| A. | 0 |
| B. | 1 |
| C. | \[4v\] |
| D. | 3 |
| Answer» D. 3 | |
| 6. |
Assertion : Minimum number of non-equal vectors in a plane required to give zero resultant is three. Reason : If \[\vec{A}+\vec{B}+\vec{C}=\vec{0},\]then they must lie in one plane |
| A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
| B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
| C. | \[{{127}^{o}}C\] |
| D. | If the assertion and reason both are false. |
| E. | If assertion is false but reason is true. |
| Answer» C. \[{{127}^{o}}C\] | |
| 7. |
Assertion : A null vector is a vector whose magnitude is zero and direction is arbitrary. Reason : A null vector does not exist. |
| A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
| B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
| C. | Directly proportional to temperature |
| D. | If the assertion and reason both are false. |
| E. | If assertion is false but reason is true. |
| Answer» D. If the assertion and reason both are false. | |
| 8. |
Assertion : \[\vec{A}\times \vec{B}\] is perpendicular to both \[\vec{A}+\vec{B}\] as well as \[\vec{A}-\vec{B}.\] Reason : \[\vec{A}+\vec{B}\] as well as \[\vec{A}-\vec{B}\] lie in the plane containing \[\vec{A}\] and \[\vec{B}\], but \[\vec{A}\times \vec{B}\] lies perpendicular to the plane containing \[\vec{A}\] and \[\vec{B}.\] |
| A. | If both assertion and reason are true and the reason is the correct explanation of the assertion. |
| B. | If both assertion and reason are true but reason is not the correct explanation of the assertion. |
| C. | His watch is set correctly |
| D. | If the assertion and reason both are false. |
| E. | If assertion is false but reason is true. |
| Answer» B. If both assertion and reason are true but reason is not the correct explanation of the assertion. | |
| 9. |
For the resultant of the two vectors to be maximum, what must be the angle between them |
| A. | \[0{}^\circ \] |
| B. | \[\text{6}0{}^\circ \] |
| C. | Wavelength |
| D. | \[\text{18}0{}^\circ \] |
| Answer» B. \[\text{6}0{}^\circ \] | |
| 10. |
Two forces of 12 N and 8 N act upon a body. The resultant force on the body has maximum value of [Manipal 2003] |
| A. | 4 N |
| B. | 0 N |
| C. | 700 m |
| D. | 8 N |
| Answer» D. 8 N | |
| 11. |
The maximum and minimum magnitude of the resultant of two given vectors are 17 units and 7 unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is [Kerala CET (Engg.) 2000] |
| A. | 14 |
| B. | 16 |
| C. | 10 seconds |
| D. | 13 |
| Answer» E. | |
| 12. |
Two forces \[{{\vec{F}}_{1}}=5\hat{i}+10\hat{j}-20\hat{k}\]and \[{{\vec{F}}_{2}}=10\hat{i}-5\hat{j}-15\hat{k}\] act on a single point. The angle between \[{{\vec{F}}_{1}}\]and \[{{\vec{F}}_{2}}\] is nearly [AMU 1995] |
| A. | \[\text{3}0{}^\circ \] |
| B. | \[\text{45}{}^\circ \] |
| C. | 8 : 1 |
| D. | \[\text{9}0{}^\circ \] |
| Answer» C. 8 : 1 | |
| 13. |
While travelling from one station to another, a car travels 75 km North, 60 km North-east and 20 km East. The minimum distance between the two stations is [AFMC 1993] |
| A. | 72 km |
| B. | 112 km |
| C. | \[n=v/\lambda \] |
| D. | 155 km |
| Answer» D. 155 km | |
| 14. |
A body is at rest under the action of three forces, two of which are \[{{\vec{F}}_{1}}=4\hat{i},\,{{\vec{F}}_{2}}=6\hat{j},\]the third force is [AMU 1996] |
| A. | \[4\hat{i}+6\hat{j}\] |
| B. | \[4\hat{i}-6\hat{j}\] |
| C. | Sound travels in the form of waves |
| D. | \[-4\hat{i}-6\hat{j}\] |
| Answer» E. | |
| 15. |
A truck travelling due north at 20 m/s turns west and travels at the same speed. The change in its velocity be [UPSEAT 1999] |
| A. | 40 m/s N?W |
| B. | \[20\sqrt{2}\,\]m/s N?W |
| C. | If assertion is true but reason is false. |
| D. | \[20\sqrt{2}\] m/s S?W |
| Answer» E. | |
| 16. |
The resultant of two vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of vector B. The angle between A and B is |
| A. | \[\text{12}0{}^\circ \] |
| B. | \[\text{15}0{}^\circ \] |
| C. | If assertion is true but reason is false. |
| D. | None of these |
| Answer» C. If assertion is true but reason is false. | |
| 17. |
The value of the sum of two vectors \[\overrightarrow{A}\] and \[\overrightarrow{B}\] with \[\theta \] as the angle between them is [BHU 1996] |
| A. | \[\sqrt{{{A}^{2}}+{{B}^{2}}+2AB\cos \theta }\] |
| B. | \[\sqrt{{{A}^{2}}-{{B}^{2}}+2AB\cos \theta }\] |
| C. | If assertion is true but reason is false. |
| D. | \[\sqrt{{{A}^{2}}+{{B}^{2}}+2AB\sin \theta }\] |
| Answer» B. \[\sqrt{{{A}^{2}}-{{B}^{2}}+2AB\cos \theta }\] | |
| 18. |
If \[|\overrightarrow{A}-\overrightarrow{B}|\,=\,|\overrightarrow{A}|\,=\,|\overrightarrow{B}|,\,\]the angle between \[\overrightarrow{A}\]and \[\overrightarrow{B}\] is |
| A. | \[\text{6}0{}^\circ \] |
| B. | \[0{}^\circ \] |
| C. | If assertion is true but reason is false. |
| D. | \[\text{9}0{}^\circ \] |
| Answer» B. \[0{}^\circ \] | |