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Questions and Answers
What is the dimensional formula of angular momentum in terms of v, A, and F?
What is the dimensional formula of angular momentum in terms of v, A, and F?
- Fv²A⁻¹
- FvA⁻¹
- Fv³A⁻² (correct)
- F²v²A⁻¹
What is the correct relation between the largest mass (m) that can be moved by a flowing river and the velocity (v), density (ρ) of river water, and acceleration due to gravity (g)?
What is the correct relation between the largest mass (m) that can be moved by a flowing river and the velocity (v), density (ρ) of river water, and acceleration due to gravity (g)?
- m ∝ ρv⁶g
- m ∝ ρv⁶g³ (correct)
- m ∝ ²ρv⁴g³
- m ∝ ρ²v⁴g²
What is the unit of acceleration due to gravity (g) in the given problem?
What is the unit of acceleration due to gravity (g) in the given problem?
- [LT⁻¹]
- [LT⁻²] (correct)
- [MLT⁻²]
- [MLT⁻¹]
What is the unit of velocity (v) in the given problem?
What is the unit of velocity (v) in the given problem?
Which of the following is not a fundamental quantity in the given problem?
Which of the following is not a fundamental quantity in the given problem?
What is the terminal velocity of a small steel ball in a viscous liquid?
What is the terminal velocity of a small steel ball in a viscous liquid?
What determines the terminal velocity of a small steel ball in a viscous liquid?
What determines the terminal velocity of a small steel ball in a viscous liquid?
Which of the following has the dimension [ML⁻¹T⁻¹]?
Which of the following has the dimension [ML⁻¹T⁻¹]?
What is the correct relation between terminal velocity and other physical quantities?
What is the correct relation between terminal velocity and other physical quantities?
What is the purpose of dimensional analysis in the given problem?
What is the purpose of dimensional analysis in the given problem?
If F2 = 1 in two systems of relations among velocity, acceleration, and force, then what can be inferred about the relation between F and v?
If F2 = 1 in two systems of relations among velocity, acceleration, and force, then what can be inferred about the relation between F and v?
If M2 = α^3 M1 and L2 = α^2 L1, then what can be inferred about the relation between T2 and T1?
If M2 = α^3 M1 and L2 = α^2 L1, then what can be inferred about the relation between T2 and T1?
If a2 = αβ a1, then what can be inferred about the relation between v2 and v1?
If a2 = αβ a1, then what can be inferred about the relation between v2 and v1?
What is the relation between L2 and L1 in the given system?
What is the relation between L2 and L1 in the given system?
What is the dimension of the coefficient of rigidity in the given problem?
What is the dimension of the coefficient of rigidity in the given problem?
What is the correct dimension of the time period of the oscillating block?
What is the correct dimension of the time period of the oscillating block?
What is the dimension of the force applied to the block A?
What is the dimension of the force applied to the block A?
If the mass of the block A is increased by a factor of 2, what will be the effect on the time period of the oscillations?
If the mass of the block A is increased by a factor of 2, what will be the effect on the time period of the oscillations?
What is the relation between the dimension of the length and the dimension of the time period?
What is the relation between the dimension of the length and the dimension of the time period?
What is the correct expression for the time period of the oscillating block?
What is the correct expression for the time period of the oscillating block?
If the coefficient of rigidity is increased by a factor of 2, what will be the effect on the time period of the oscillations?
If the coefficient of rigidity is increased by a factor of 2, what will be the effect on the time period of the oscillations?
What is the dimension of the product ML in the given problem?
What is the dimension of the product ML in the given problem?
What is the correct relation between the dimension of the mass and the dimension of the coefficient of rigidity?
What is the correct relation between the dimension of the mass and the dimension of the coefficient of rigidity?
What is the purpose of dimensional analysis in the given problem?
What is the purpose of dimensional analysis in the given problem?
What is the primary purpose of significant figures in physics?
What is the primary purpose of significant figures in physics?
A physical quantity has a dimension of [ML^(-1)T^(-1)]. What can be said about the quantity?
A physical quantity has a dimension of [ML^(-1)T^(-1)]. What can be said about the quantity?
What is the maximum number of physical quantities that can be used to derive a formula using dimensional analysis?
What is the maximum number of physical quantities that can be used to derive a formula using dimensional analysis?
What is the primary limitation of dimensional analysis?
What is the primary limitation of dimensional analysis?
What can be said about a formula that cannot be derived using dimensional analysis?
What can be said about a formula that cannot be derived using dimensional analysis?
What is the significance of a large number of significant figures in a measurement?
What is the significance of a large number of significant figures in a measurement?
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