InterviewSolution
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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Assertion : A vector quantity is a quantity that has both magnitude and a direction and obeys the triangle law of addition and equivalently the parallelogram law of addition. Reason : The magnitude of the resultant vector of two given vectors can never be less than the magnitude of any of the given vector.A. If both Assertion & Reason are Tune & the Reason is a correct explanation of the Assertion. `B. If both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.C. If Assertion is True but the Reason is False.D. If both Assertion & Reason are false. |
| Answer» Correct Answer - 3 | |
| 2. |
Assertion : If the initial and final positions coincide, the displacement is a null vector. Reason : A physical quantity cannot be called a vector, if its magnitude is zero.A. If both Assertion & Reason are Tune & the Reason is a correct explanation of the Assertion. `B. If both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.C. If Assertion is True but the Reason is False.D. If both Assertion & Reason are false. |
| Answer» Correct Answer - 3 | |
| 3. |
Which of the following physical quantities is an axial vector ?A. displacementB. forceC. velocityD. torque |
| Answer» Correct Answer - 4 | |
| 4. |
The direction of the angular velocity vector is alongA. Along the tangent of circular pathB. Along the direction of radius vectorC. Opposite to the direction of radius vectorD. Along the axis of rotation |
| Answer» Correct Answer - 4 | |
| 5. |
The forces, which meet at one point but their line of action do not lie in one plane,are calledA. non-coplanar and non-concurrent forcesB. coplanar and non-concurrent forcesC. non- coplanar and concurrent forcesD. coplanar and concurrent forces |
| Answer» Correct Answer - 3 | |
| 6. |
Vector sum of two forces of 10N and 6N cannot be:A. 4NB. 8NC. 12ND. 2N |
| Answer» Correct Answer - 4 | |
| 7. |
The maximum number of components into which a vector in space can be resolved isA. 2B. 3C. 4D. Infinite |
| Answer» Correct Answer - 4 | |
| 8. |
What are the maximum number of (i) rectangular component vectors (ii)component vectors, into which a vector can be resolved in a plane ?A. 2B. 3C. 4D. Infinite |
| Answer» Correct Answer - 1 | |
| 9. |
If `hati,hatj` and `hatk` are unit vectors along X,Y `&` Z axis respectively, then tick the wrong statement:A. `hati*hati= 1`B. `hatixxhatj= hatk`C. `hati*hatj=0`D. `hatixxhatk=-hati` |
| Answer» Correct Answer - 4 | |
| 10. |
In the given figure, each box represents a function machine. A function machine illustrates what it does with the input. Which of the following statement are correct?A. `z= 2x+3`B. `z=2(x+3)`C. `z= sqrt(2x+3)`D. `z= sqrt(2(x+3))` |
| Answer» Correct Answer - 3 | |
| 11. |
As `theta` increases from `0^(@)` to `90^(@)`, the value of `cos theta` : -A. IncreasesB. DecreasesC. Remains constantD. First decreases then increases |
| Answer» Correct Answer - 2 | |
| 12. |
A unit radial vector `hatr` makes angles of `alpha = 30^(@)` relative to the x-axis, `beta = 60^(@)` relative to the y-axis, and `gamma = 90^(@)` relative to the z-axis. The vector `hatr` can be written as :A. `(1)/(2)hati+ (sqrt3)/(2)hatj`B. `(sqrt3)/(2) hati+ (1)/(2) hatj`C. `(sqrt2)/(3)hati+ (1)/(sqrt3) hatj`D. None of these |
| Answer» Correct Answer - 2 | |
| 13. |
Assertion : The sum of squares of cosines of angles made by a vector with X, Y and Z axes is equal to unity. Reason : A vector making `45^(@)` with X-axis must have equal components along X and Y-axes.A. If both Assertion & Reason are Tune & the Reason is a correct explanation of the Assertion. `B. If both Assertion & Reason are True but Reason is not a correct explanation of the Assertion.C. If Assertion is True but the Reason is False.D. If both Assertion & Reason are false. |
| Answer» Correct Answer - 3 | |
| 14. |
Given that `vecP+vecQ = vecP-vecQ`. This can be true when :A. `vecP = vecQ`B. `vecQ= vec0 `C. Neither `vecP` nor `vecQ` is a null vectorD. `vecP` is perpendicular to `vecQ` |
| Answer» Correct Answer - 2 | |
| 15. |
If `hatn` is a unit vector in the direction of the vector `vecA`, them :A. `hatn = (vecA)/(|vecA|)`B. `hatn= vecA|vecA|`C. `hatn= (|vecA|)/(vecA)`D. None of the above |
| Answer» Correct Answer - 1 | |