AIPMT-PRELIMS Physics Units and Measurement Class 11 Questions
18 questions
The dimensions of (μ₀ε₀)^(1/2) are
The dimension of \( \frac{1}{2} \varepsilon_0 E^2 \), where \( \varepsilon_0 \) is permittivity of free space and E is electric field, is
Six vectors, \( \vec{a} \) through \( \vec{f} \) have the magnitudes and directions indicated in the figure. Which of the following statements is true?
If the dimensions of a physical quantity are given by Mᵃ Lᵇ Tᶜ, then the physical quantity will be:
If the error in the measurement of radius of a sphere is 2% then the error in the determination of volume of the sphere will be -
Which two of the following five physical parameters have the same dimensions ? (a) Energy density (b) Refractive index (c) Dielectric constant (d) Young’s modulus (e) Magnetic field
A particle starting from the origin (0,0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are (√3, 3). The path of the particle makes with the x-axis an angle of
A⃗ and B⃗ are two vectors and θ is the angle between them, if |A⃗ × B⃗| = √3(A⃗ ⋅ B⃗), the value of θ is
The velocity v of a particle at time t is given by v = at + (b/t + c), where a, b and c are constants. The dimensions of a, b and c are respectively :
The vectors $\vec{A}$ and $\vec{B}$ are such that : $$|\vec{A} + \vec{B}| = |\vec{A} - \vec{B}|$$ The angle between the two vectors is :
The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of:
If a vector 2i + 3j + 8 is perpendicular to the vector 4j - 4i + α, then the value of α is:
If the angle between the vectors $\vec{A}$ and $\vec{B}$ is $\theta$, the value of the product $(\vec{B} \times \vec{A}) \cdot \vec{A}$ is equal to :
If |𝐀 × 𝐁| = √3 𝐀.𝐁 then the value of |𝐀 + 𝐁| is:-
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces :
The dimension of Planck constant equals to that of:
If |𝐀 + 𝐁| = |𝐀| = |𝐁| then angle between A and B will be : -
Which pair have not equal dimensions: