The centre of mass of a two-particle system lies on the line joining them, closer to MCQ with Answer and Explanation
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Question #1
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The dimensions of surface tension are the same as that of:
Correct Answer: Option B
Explanation:
Surface tension is defined as Force per unit length (F/L). Dimensional formula: [MLT⁻²] / [L] = [MT⁻²]. A spring constant (k) is defined by Hooke's Law as Force per unit extension (F/x), which also has dimensions [MLT⁻²] / [L] = [MT⁻²]. Thus, both share the same dimensional formula.
Surface tension is defined as Force per unit length (F/L). Dimensional formula: [MLT⁻²] / [L] = [MT⁻²]. A spring constant (k) is defined by Hooke's Law as Force per unit extension (F/x), which also has dimensions [MLT⁻²] / [L] = [MT⁻²]. Thus, both share the same dimensional formula.
Question #2
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Body moving with constant velocity has:
Correct Answer: Option C
Explanation:
Constant velocity ⇒ no change in speed or direction ⇒ acceleration = dv/dt = 0. Newton's first law: zero net force for constant velocity. Memory tip: 'Constant v ⇒ a = 0; changing v ⇒ a ≠ 0'. Basic kinematics concept frequently tested to verify acceleration-velocity relationship understanding.
Constant velocity ⇒ no change in speed or direction ⇒ acceleration = dv/dt = 0. Newton's first law: zero net force for constant velocity. Memory tip: 'Constant v ⇒ a = 0; changing v ⇒ a ≠ 0'. Basic kinematics concept frequently tested to verify acceleration-velocity relationship understanding.
Question #3
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The gravitational force between two objects of masses 2 kg and 3 kg separated by 2 m (G = 6.67×10⁻¹¹) is
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