30
Minutes
13
Questions
1 / -0
Marking
Q1. The angle between A = i + j and B = i - j is
45°
90°
–45°
180°
Q2. Which one of the following statements is true?
A scalar quantity is the one that is conserved in a process.
A scalar quantity is the one that can never take negative values.
A scalar quantity is the one that does not vary from one point to another in space.
A scalar quantity has the same value for observers with different orientations of the axes.
Q3. The component of a vector r along X-axis will have maximum value if
r is along positive Y-axis
r is along positive X-axis
r makes an angle of 45° with the X-axis
r is along negative Y-axis
Q4. The horizontal range of a projectile fired at an angle of 15° is 50 m. If it is fired with the same speed at an angle of 45°, its range will be
60 m
71 m
100 m
141 m
Q5. Consider the quantities, pressure, power, energy, impulse, gravitational potential, electrical charge, temperature, area. Out of these, the only vector quantities are
Impulse, pressure and area
Impulse and area
Area and gravitational potential
Impulse and pressure
Q6. In a two dimensional motion, instantaneous speed v₀ is a positive constant. Then which of the following are necessarily true?
The average velocity is not zero at any time.
Average acceleration must always vanish.
Displacements in equal time intervals are equal.
Equal path lengths are traversed in equal intervals.
Q7. In a two dimensional motion, instantaneous speed v₀ is a positive constant. Then which of the following are necessarily true?
The acceleration of the particle is zero.
The acceleration of the particle is bounded.
The acceleration of the particle is necessarily in the plane of motion.
The particle must be undergoing a uniform circular motion
Q8. Three vectors A, B and C add up to zero. Find which is false.
(A×B) × C is not zero unless B, C are parallel
(A×B).C is not zero unless B, C are parallel
If A, B, C define a plane, (A×B)×C is in that plane
(A×B).C = |A||B||C| → C² = A² + B²
Q9. It is found that |A + B| = |A|. This necessarily implies,
B = 0
A, B are antiparallel
A, B are perpendicular
A.B ≤ 0
Q10. Two particles are projected in air with speed v₀ at angles θ₁ and θ₂ (both acute) to the horizontal, respectively. If the height reached by the first particle is greater than that of the second, then tick the right choices
angle of projection : θ₁ > θ₂
time of flight : T₁ > T₂
horizontal range : R₁ > R₂
total energy : U₁ > U₂.
Q11. Following are four different relations about displacement, velocity and acceleration for the motion of a particle in general. Choose the incorrect one(s) :
v_av = ½ [v(t₁) + v(t₂)]
v_av = [r(t₂) - r(t₁)] / (t₂ - t₁)
r(t₂) - r(t₁) = ½ [v(t₁) + v(t₂)] (t₂ - t₁)
a_av = [v(t₂) - v(t₁)] / (t₂ - t₁)
Q12. For a particle performing uniform circular motion, choose the correct statement(s) from the following:
Magnitude of particle velocity (speed) remains constant.
Particle velocity remains directed perpendicular to radius vector.
Direction of acceleration keeps changing as particle moves.
Angular momentum is constant in magnitude but direction keeps changing.
Q13. For two vectors A and B, A + B = A - B is always true when
A = 0 ≠ B
A ⊥ B
A ≠ 0 = B and A and B are parallel or anti parallel
when either A or B is zero.