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Physics and Mathematics Physics - Physics and Mathematics

Rajasthan Board (RBSE) - STD 11 Science - Physics (Rajasthan - English Medium). 60 questions in this chapter.

Question types

Physics and Mathematics question types

60 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

60
Questions
5
Question groups
5
Question types
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.

Q 1M.C.Q (1 Marks)1 Mark
The magnitude of the vector product of two vectors $\big|\overrightarrow{\text{A}}\big|$ and $\big|\overrightarrow{\text{B}}\big|$ may be:
  1. Greater than AB.
  2. Equal to AB.
  3. Less than AB.
  4. Equal to zero.
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Q 2M.C.Q (1 Marks)1 Mark
The resultant of $\overrightarrow{\text{A}}$ and $\overrightarrow{\text{B}}$ makes an angle a with $\overrightarrow{\text{A}}$ and $\beta$ with $\overrightarrow{\text{B}},$

  1. $\alpha<\beta$

  2. $\alpha<\beta \text{ if}\text{ A}<\text{B}$

  3. $\alpha<\beta \text{ if}\text{ A}>\text{B}$

  4. $\alpha<\beta \text{ if}\text{ A}=\text{B}$

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Q 3M.C.Q (1 Marks)1 Mark
Let $\overrightarrow{\text{C}}=\overrightarrow{\text{A}}+\overrightarrow{\text{B}}.$
  1. $|\overrightarrow{\text{C}}|$ is always greater than $|\overrightarrow{\text{A}}|$
  2. It is possible to have $|\overrightarrow{\text{C}}|<|\overrightarrow{\text{A}}|$ and $|\overrightarrow{\text{C}}|<|\overrightarrow{\text{B}}|$
  3. C is always equal to A + B
  4. C is never equal to A + B.
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Q 4M.C.Q (1 Marks)1 Mark
Let the angle between two nonzero vectors $\overrightarrow{\text{A}}$ and $\overrightarrow{\text{B}}$ be 120° and its resultant be $\vec{\text{c}}:$
  1. C must be equal to $|\text{A}-\text{B}|$
  2. C must be less than $|\text{A}-\text{B}|$
  3. C must be greater than $|\text{A}-\text{B}|$
  4. C may be equal to $|\text{A}-\text{B}|$
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Q 5M.C.Q (1 Marks)1 Mark
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:
  1. Along west.
  2. Along east.
  3. Zero.
  4. Vertically downward.
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Q 61 Marks Question1 Mark
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 $\vec{\text{A}}\times\vec{\text{B}}.$
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Q 71 Marks Question1 Mark
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.)
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Q 132 Marks Questions2 Marks
Let $\overrightarrow{\text{A}}=5\vec{\text{i}}-4\vec{\text{j}}$ and $\overrightarrow{\text{B}}=-7.5\vec{\text{i}}+6\vec{\text{j}}.$
  1. Do we have $\overrightarrow{\text{B}}\text{k}\vec{\text{A}}?$
  2. Can we say $\frac{\overrightarrow{\text{B}}}{\overrightarrow{\text{A}}}=\text{k}?$
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Q 142 Marks Questions2 Marks
Let $\vec{\text{a}}=2\vec{\text{i}}+3\vec{\text{j}}+4\vec{\text{k}}$ and $\vec{\text{b}}=3\vec{\text{i}}+4\vec{\text{j}}+5\vec{\text{k}}.$ Find the angle between them.
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Q 153 Marks Question3 Marks
The momentum p of a particle changes with time t according to the relation $\frac{\text{dp}}{\text{dt}}=(10\text{N})+(2\text{N/s)t}.$ If the momentum is zero at t = 0, what will the momentum be at t = 10s?
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Q 163 Marks Question3 Marks
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 $\overrightarrow{\text{A}}.$
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Q 173 Marks Question3 Marks
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.
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Q 183 Marks Question3 Marks
Let $\overrightarrow{\text{A}}$ and $\overrightarrow{\text{B}}$ be the two vectors of magnitude 10 unit each. If they are inclined to the X-axis at angles 30° and 60° respectively, find the resultant.
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Q 193 Marks Question3 Marks
Let A1 A2 A3 A4 A5 A6 A1 be a regular hexagon. Write the x-components of the vectors represented by the six sides taken in order. Use the fact that the resultant of these six vectors is zero, to prove that

$\cos0+\cos\frac{\pi}{3}+\cos\frac{2\pi}{3}+\cos\frac{3\pi}{3}+\cos\frac{4\pi}{3}+\cos\frac{5\pi}{3}=0.$

Use the known cosine values to verify the result.

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Q 205 Marks Questions5 Marks
Refer to figure. Find
  1. The magnitude.
  2. x and y components
  3. The angle with the X-axis of the resultant of $\overrightarrow{\text{OA}},\overrightarrow{\text{BC}}$ and $\overrightarrow{\text{DE}}.$
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Q 215 Marks Questions5 Marks
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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