Yakeen NEET 3.0 Physics

22 Questions

What are the dimensions of 'a' in the expression 10(at+3)?

M0 L0 T–1

What happens to the unit of work if the unit of length, mass, and time are each doubled?

It increases by 8 times

What is the dimensional representation of torque in the system?

[A3/2V2D]

What is the dimensional representation of torque in the system if the unit of length, mass, and time are each doubled?

[A2V2D2]

What is the dimensional representation of torque in the system if the unit of length is doubled?

[AV2D]

What is the dimensional representation of torque in the system if the unit of mass is doubled?

[A2VD]

What is the unit of x in terms of M and T?

ML–1T–1

What is the unit of 2πc/λ in terms of M and T?

ML–1T–2

What are the dimensions of mass in terms of energy E, velocity V, and force F?

FV–1

What is the expression for time period T in terms of pressure P, density D, and surface tension S?

T ∝ P^1D^2S^1

What are the values of a, b, and c in the expression T ∝ P^aD^bS^c?

1/2, –3/2, –1/2

Which of the following operations is dimensionally correct between two physical quantities A and B having different dimensions?

log(A)

What is the dimension of density D in terms of basic dimensions M, L, and T?

ML–1T^0

What is the dimension of velocity V in terms of basic dimensions M, L, and T?

ML^0T^1

What are the dimensions of the constant on the right-hand side of Bernoulli's theorem?

M0L1T0

What are the dimensions of pressure gradient dp/dx?

ML–1T–2

What is the unit of b in the equation x = at + bt2, where x is in metre and t in hour?

m/hr2

What is the expression for the stationary wave equation?

y = 2A sin(2πx/λ) cos(2πct/λ)

Which of the following statements is wrong about the stationary wave equation?

The equation represents a progressive wave

What is the unit of a in the equation x = at + bt2, where x is in metre and t in hour?

m/hr

What are the dimensions of the constant on the left-hand side of Bernoulli's theorem?

M0L1T–1

What is the physical quantity represented by the constant on the right-hand side of Bernoulli's theorem?

Potential head

Study Notes

Units and Dimensions

Bernoulli's theorem can be expressed as P1 + ρv2/2 + ρgh = constant, where the dimensions of the constant on the right-hand side are M1L2T–2.
Pressure gradient dp/dx is the rate of change of pressure with distance, and its dimensions are ML–2T–2.
If energy (E), velocity (V), and force (F) are taken as fundamental physical quantities, then the dimensions of mass are EV–2.
Two physical quantities A and B having different dimensions cannot be added, but their ratio A/B is dimensionally correct.
If x = at + bt2, where x is in meters and t is in hours, then the unit of b is m/hr2.

Waves and Oscillations

The equation of a stationary wave is y = 2A sin(2πct/λ) cos(2πx/λ), where c is the velocity of the wave and λ is its wavelength.
The unit of ct is same as that of λ, and the unit of 2π c/λ is same as that of 2πx/λt.

Oscillations

The time period of a body under simple harmonic motion (SHM) is represented by T ∝ PaDbSc, where P is pressure, D is density, and S is surface tension.
The dimensional representation of torque in a system with basic dimensions as density [D], velocity [V], and area [A] is [A3/2V2D].

Unit Conversions

If the unit of length, mass, and time each be doubled, the unit of work is increased by 2 times.

Practice questions on units and dimensions, Bernoulli's theorem, and kinematics for NEET 2024 preparation.

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