A vector is not changed if:
- AIt is rotated through an arbitrary angle.
- BIt is multiplied by an arbitrary scalar.
- CIt is cross multiplied by a unit vector.
- ✓It is slid parallel to itself.
Answer: D.
View full solution →Question types
Physics and Mathematics question types
57 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
57
Questions
5
Question groups
5
Question types
01
M.C.Q (1 Marks)
8 Q→021 Marks Question
4 Q→032 Marks Questions
33 Q→043 Marks Question
10 Q→055 Marks Questions
2 Q→Sample Questions
Physics and Mathematics questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Which of the sets given below may represent the magnitudes of three vectors adding to zero?
- A$2, 4, 8$
- B$4, 8, 16$
- ✓$1, 2, 1$
- D$0.5, 1, 2$
Answer: C.
View full solution →A vector $\overrightarrow{\text{A}}$ points vertically upward and $\overrightarrow{\text{B}}$ points towards north. The vector product $\overrightarrow{\text{A}}\times\overrightarrow{\text{B}}$ is:
- ✓Along west.
- BAlong east.
- CZero.
- DVertically downward.
Answer: A.
View full solution →The resultant of $\overrightarrow{\text{A}}$ and $\overrightarrow{\text{B}}$ makes an angle a with $\overrightarrow{\text{A}}$ and $\beta$ with $\overrightarrow{\text{B}},$
- A$\alpha<\beta$
- B$\alpha<\beta \text{ if}\text{ A}<\text{B}$
- ✓$\alpha<\beta \text{ if}\text{ A}>\text{B}$
- D$\alpha<\beta \text{ if}\text{ A}=\text{B}$
Answer: C.
View full solution →Let $\overrightarrow{\text{C}}=\overrightarrow{\text{A}}+\overrightarrow{\text{B}}.$
- A$|\overrightarrow{\text{C}}|$ is always greater than $|\overrightarrow{\text{A}}|$
- ✓It is possible to have $|\overrightarrow{\text{C}}|<|\overrightarrow{\text{A}}|$ and $|\overrightarrow{\text{C}}|<|\overrightarrow{\text{B}}|$
- CC is always equal to A + B
- DC is never equal to A + B.
Answer: B.
View full solution →If $\vec{\text{A}}=2\vec{\text{i}}+3\vec{\text{j}}+4\vec{\text{k}}$ and $\vec{\text{B}}=4\vec{\text{i}}+3\vec{\text{j}}+2\vec{\text{k}},$ find $\vec{\text{A}}\times\vec{\text{B}}.$
View full solution →Is a vector necessarily changed if it is rotated through an angle?
Can we have physical quantities having magnitude and direction which are not vectors?
The length of the string of a simple pendulum is measured with a metre scale to be 90.0cm. The radius of the bob plus the length of the hook is calculated to be 2.13cm using measurements with a slide callipers. What is the effective length of the pendulum? (The effective length is defined as the distance between the point of suspension and the centre of the bob.)
Prove that $\vec{\text{A}}.(\vec{\text{A}}\times\vec{\text{B}})=0.$
View full solution →A metre scale is graduated at every millimetre. How many significant digits will be there in a length measurement with this scale?
The force on a charged particle due to electric and magnetic fields is given by $\overrightarrow{\text{F}}=\text{q}\overrightarrow{\text{E}}+\text{q}\overrightarrow{\text{v}}\times\overrightarrow{\text{B}}.$ Suppose $\overrightarrow{\text{E}}$ is along the X-axis and $\overrightarrow{\text{B}}$ along the Y-axis. In what direction and with what minimum speed v should a positively charged particle be sent so that the net force on it is zero?
View full solution →Let $\overrightarrow{\text{A}}=5\vec{\text{i}}-4\vec{\text{j}}$ and $\overrightarrow{\text{B}}=-7.5\vec{\text{i}}+6\vec{\text{j}}.$
View full solution →- Do we have $\overrightarrow{\text{B}}\text{k}\vec{\text{A}}?$
- Can we say $\frac{\overrightarrow{\text{B}}}{\overrightarrow{\text{A}}}=\text{k}?$
The length and the radius of a cylinder measured with a slide callipers are found to be 4.54cm and 1.75cm respectively. Calculate the volume of the cylinder.
A carrom board (4ft × 4ft square) has the queen at the centre. The queen, hit by the striker moves to the front edge, rebounds and goes in the hole behind the striking line. Find the magnitude of displacement of the queen:
- From the centre to the front edge.
- From the front edge to the hole.
- From the centre to the hole.
Let $\varepsilon_1$ and $\varepsilon_2$ be the angles made by $\overrightarrow{\text{A}}$ and $-\overrightarrow{\text{A}}$ with the positive X-axis. Show that $\tan\varepsilon_1=\tan\varepsilon_2.$ Thus, giving tane does not uniquely determine the direction of $\overrightarrow{\text{A}}.$
View full solution →The thickness of a glass plate is measured to be 2.17mm, 2.17mm and 2.18mm at three different places. Find the average thickness of the plate from this data.
A vector $\overrightarrow{\text{A}}$ makes an angle of 20° and $\overrightarrow{\text{B}}$ makes an angle of 110° with the X-axis. The magnitudes of these vectors are 3 m and 4 m respectively. Find the resultant.
View full solution →A spy report about a suspected car reads as follows. "The car moved 2.00km towards east, made a perpendicular left turn, ran for 500m, made a perpendicular right turn, ran for 4.00km and stopped". Find the displacement of the car.
Refer to figure. Find
View full solution →- The magnitude.
- x and y components
- The angle with the X-axis of the resultant of $\overrightarrow{\text{OA}},\overrightarrow{\text{BC}}$ and $\overrightarrow{\text{DE}}.$
Add vectors $\overrightarrow{\text{A}},\overrightarrow{\text{B}}$ and $\overrightarrow{\text{C}}$ each having magnitude of 100 unit and inclined to the X-axis at angles 45°, 135° and 315° respectively.
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