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Physics and Mathematics Physics - Physics and Mathematics

Bihar Board (BSEB) - STD 12 Science - Physics (BSEB - 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 [1M]1 Mark
A vector is not changed if:
  1. It is rotated through an arbitrary angle.
  2. It is multiplied by an arbitrary scalar.
  3. It is cross multiplied by a unit vector.
  4. It is slid parallel to itself.
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Q 2M.C.Q [1M]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 3M.C.Q [1M]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 4M.C.Q [1M]1 Mark
The x-component of the resultant of several vectors:
  1. Is equal to the sum of the x-components of the vectors.
  2. May be smaller than the sum of the magnitudes of the vectors.
  3. May be greater than the sum of the magnitudes of the vectors.
  4. May be equal to the sum of the magnitudes of the vectors.
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Q 5M.C.Q [1M]1 Mark
Which of the sets given below may represent the magnitudes of three vectors adding to zero?
  1. 2, 4, 8
  2. 4, 8, 16
  3. 1, 2, 1
  4. 0.5, 1, 2
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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 81 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 11Short Answer Type Questions [2M]2 Marks
Which of the following two statements is more appropriate?
  1. Two forces are added using triangle rule because force is a vector quantity.
  2. Force is a vector quantity because two forces are added using triangle rule.
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Q 153 Marks Question3 Marks
If $\vec{\text{A}},\vec{\text{B}},\vec{\text{C}}$ are mutually perpendicular, show that $\vec{\text{C}}\times(\vec{\text{A}}\times\vec{\text{B}})=0.$ Is the converse true?
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Q 163 Marks Question3 Marks
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.
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Q 173 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 183 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 193 Marks Question3 Marks
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:
  1. From the centre to the front edge.
  2. From the front edge to the hole.
  3. From the centre to the hole.
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Q 21Long Answer Type Questions [5M]5 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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