HSSC-I (Class-11) Solved Physics MCQs; Unit-2: Vectors and Equilibrium (Baluchistan Textbook Board, Quetta) With Verified Answers:  


1. Which one of the following is a scalar quantity?




... Answer is D. Density
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2. Which one of the following is a vector quantity?​




... Answer is C. Weight
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3. Which pair includes a scalar and a vector quantity?




... Answer is A. K.E. and momentum
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4. Two vectors `\vec A_1` and `\vec A_2` are making an angle of 90° with each other. What is their resultant magnitude?




... Answer is B. `\sqrt {A₁² + A₂²}`
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5.  The magnitude of the two vectors is 3N and 4N respectively. If the angle bet them is 90°, then their resultant vector will be:




... Answer is A. 5N
By using Pythagoras' theorem


6. At what angle the vertical component of a vector is maximum?




... Answer is D. 90°
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7. In which quadrant a vector can be drawn when both x and y components are negative. :




... Answer is C. Third
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8. What is the possible result of (-3`\hat i`).(-4`\hat j`)




... Answer is C. 12`\hat k`
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9. What is the angle of the given vector 2`\hat i`+2`\hat j`?




... Answer is A. 45°
θ = tan⁻¹ (Ay/Ax) = tan⁻¹ (2/2) = tan⁻¹ (1) = 45°


10. The correct result of the expression `\hat j`.(`\hat k` x `\hat i`) is:




... Answer is A. Zero`
 ----------------------


11. Which law does not obey the vector product of two vectors?




... Answer is B. Commutative
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12. The scalar product of two non-zero vectors is equal to zero when the angle between them is;




... Answer is D. 90°
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13. The vector product of two vectors is maximum when both vectors are




... Answer is A. Parallel
-------θ = 0°


14.  What is the expected result of (`\vec A` X `\vec B`)² + (`\vec A` . `\vec B`)² = ?




... Answer is D. A²B²
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15. Self cross product of unit vectors is always




... Answer is B. Zero
`\vec A` X `\vec A` = 0


16.. The magnitude of the dot and cross products of two vectors are 6`\sqrt 3` respectively, and the angle between the vectors is:




... Answer is A. Mass
A.B = AB cosθ = 6√3 ...(1), A×B = AB sinθ = 6 ......(2)⇒ Dividing (2) by (1)⇒ tanθ = 1/√3 = 30°


17. What torque is produced by 30 N force which is acting at 60° on a wrench of length 30 cm? :




... Answer is C. 7.8 Nm
r= 30 cm = 0.3 m, θ = 60° and f = 30N ⇒ T = r x F = r F sin θ = 0.3m x 30N x sin 60° = 7.8 N m


18. A force of 1O N at 60° is acting on a block, what force in opposite direction will bring the to block equilibrium.




... Answer is B. 10 N
----------∑F= 0


19. If the line of action of the force passes through its axis of rotation or origin, then its torque is:




... Answer is A. Zero
T = r x F = r F sin θ​, when r = 0 then T = 0




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