In the relation $y=a\mathrm{cos}\left(\omega t-kx\right)$, the dimensional formula for k is

(1) $\left[{M}^{0}{L}^{-1}{T}^{-1}\right]$

(2) $\left[{M}^{0}L{T}^{-1}\right]$

(3) $\left[{M}^{0}{L}^{-1}{T}^{0}\right]$

(4) $\left[{M}^{0}LT\right]$

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Position of a body with acceleration 'a' is given by $x=K{a}^{m}{t}^{n},$here t is time. Find dimension of m and n

1. m = 1, n = 1

2. m = 1, n = 2

3. m = 2, n = 1

4. m = 2, n = 2

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

"Pascal-Second" has dimension of

(1) Force

(2) Energy

(3) Pressure

(4) Coefficient of viscosity

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units then the dimensional formula of energy is

(1) FA2T

(2) FAT2

(3) F2AT

(4) FAT

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of

(1) Frequency

(2) Velocity

(3) Angular momentum

(4) Time

Concept Questions :-

Dimensions
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Difficulty Level:

Which of the following group have different dimension

(1) Potential difference, EMF, voltage

(2) Pressure, stress, young's modulus

(3) Heat, energy, work-done

(4) Dipole moment, electric flux, electric field

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Out of following four dimensional quantities, which one quantity is to be called a dimensional constant

(1) Acceleration due to gravity

(2) Surface tension of water

(3) Weight of a standard kilogram mass

(4) The velocity of light in vacuum

Concept Questions :-

Dimensions
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

Density of a liquid in CGS system is 0.625 g/cm3. What is its magnitude in SI system

(1) 0.625

(2) 0.0625

(3) 0.00625

(4) 625

Concept Questions :-

Dimensions
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Difficulty Level:

The period of oscillation of a simple pendulum is given by $T=2\pi \sqrt{\frac{l}{g}}$ where l is about 100 cm and is known to have 1mm accuracy. The period is about 2s. The time of 100 oscillations is measured by a stop watch of least count 0.1 s. The percentage error in g is

(1) 0.1%

(2) 1%

(3) 0.2%

(4) 0.8%

Concept Questions :-

Errors
High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed

(1) 11%

(2) 8%

(3) 5%

(4) 1%

Concept Questions :-

Errors