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Momentum is given by p=mv with dimensional formula \[MLT−1\]. As per NCERT Class 11 Chapter 2, dimensional analysis checks correctness and SI units define base and derived quantities. This principle confirms that Impulse is correct because its dimensions and unit match the physical quantity asked.
Ref: NCERT Class 11 Physics > Chapter 2: Units and Measurements > Topic: SI Units and Dimensional Formulae
Dimensionless quantities are those without any physical dimensions, like angles and refractive index. As per NCERT Class 11 Chapter 2, dimensional analysis checks correctness and SI units define base and derived quantities. This principle confirms that Angular displacement is correct because its dimensions and unit match the physical quantity asked.
Ref: NCERT Class 11 Physics > Chapter 2: Units and Measurements > Topic: SI Units and Dimensional Formulae
Derived units are obtained by combining base units. Examples include the Newton (N), Joule (J), and Pascal (Pa). As per NCERT Class 11 Chapter 2, dimensional analysis checks correctness and SI units define base and derived quantities. This principle confirms that Newton (N) is correct because its dimensions and unit match the physical quantity asked.
Ref: NCERT Class 11 Physics > Chapter 2: Units and Measurements > Topic: SI Units and Dimensional Formulae
Energy has dimensions [M L² T⁻²] and unit Joule = N·m = kg·m²/s². Torque = r×F also has [M L² T⁻²] but is vector. Among options, power is [M L² T⁻³], force [M L T⁻²], momentum [M L T⁻¹]. Only torque shares energy dimensions, so Torque is correct.
Ref: NCERT Class 11 Physics > Chapter 2: Units and Measurements > Topic: SI Units and Dimensional Formulae
SI has seven base units: m, kg, s, A, K, mol, cd. Newton is derived as kg·m/s² from F=ma. Hence it is not a base unit. Among options, Kelvin, Candela and Mole are base units, while Newton is derived, so Newton is correct as per NCERT.
Ref: NCERT Class 11 Physics > Chapter 2: Units and Measurements > Topic: SI Units and Dimensional Formulae
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