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Questions and Answers
What is the dimensional formula of viscosity?
What is the dimensional formula of viscosity?
- ML2T -1
- M -1 L-1T 1
- M 1 L-1T -1 (correct)
- M 0 L0T 0
What is the value of Young's modulus of steel in cgs units of dyne cm-2?
What is the value of Young's modulus of steel in cgs units of dyne cm-2?
1.9 × 10^10
The dimensions of α in the equation F = βv^2 are ______________________.
The dimensions of α in the equation F = βv^2 are ______________________.
MLT -1
The dimensional formula of gravitational constant (G) is M 0 L0T 0 if c, g, and p are taken as fundamental units.
The dimensional formula of gravitational constant (G) is M 0 L0T 0 if c, g, and p are taken as fundamental units.
What is the value of mass in a system of units where the value of force is 100 N and the value of acceleration is 0.001 ms-2?
What is the value of mass in a system of units where the value of force is 100 N and the value of acceleration is 0.001 ms-2?
Match the following physical quantities with their dimensional formulas:
Match the following physical quantities with their dimensional formulas:
What is the dimensional formula of gravitational constant (G) if c, g, and p are taken as fundamental units?
What is the dimensional formula of gravitational constant (G) if c, g, and p are taken as fundamental units?
The dimensional formula of pressure is ______________________.
The dimensional formula of pressure is ______________________.
What is the unit of the physical quantity P given by the relation P = P0e^(-αt)?
What is the unit of the physical quantity P given by the relation P = P0e^(-αt)?
The statement 'Zeros are not significant' is true for significant figures.
The statement 'Zeros are not significant' is true for significant figures.
What is the dimension of the constant α in the relation P = P0e^(-αt)?
What is the dimension of the constant α in the relation P = P0e^(-αt)?
The value of (9.99 m – 0.0099 m) is approximately _______________ m.
The value of (9.99 m – 0.0099 m) is approximately _______________ m.
Match the given physical quantities with their corresponding units:
Match the given physical quantities with their corresponding units:
What is the value of the slope at x = 0?
What is the value of the slope at x = 0?
How many significant figures are there in the number 0.005?
How many significant figures are there in the number 0.005?
How many fundamental units are there in the SI system?
How many fundamental units are there in the SI system?
The unit of length and time are doubled, and the unit of mass is halved, the energy of a particle remains the same.
The unit of length and time are doubled, and the unit of mass is halved, the energy of a particle remains the same.
If the speed of light, gravitational constant, and Planck's constant are taken as fundamental units, what is the dimension of time in this new system?
If the speed of light, gravitational constant, and Planck's constant are taken as fundamental units, what is the dimension of time in this new system?
The number of significant figures in 0.007m2 is ______.
The number of significant figures in 0.007m2 is ______.
If the angle is given in radians, what is the conversion factor to convert it to degrees?
If the angle is given in radians, what is the conversion factor to convert it to degrees?
Match the following units with their corresponding dimensions:
Match the following units with their corresponding dimensions:
If the unit of length is doubled, the unit of time is doubled, and the unit of mass is halved, what is the numerical value of the energy in this new system?
If the unit of length is doubled, the unit of time is doubled, and the unit of mass is halved, what is the numerical value of the energy in this new system?
The dimension of a physical quantity is always a constant.
The dimension of a physical quantity is always a constant.
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Study Notes
Dimensional Formula of Viscosity
- The dimensional formula of viscosity is ML-1T-1.
Young's Modulus of Steel
- Young's modulus of steel is 1.9 × 10¹¹ Nm⁻².
- When expressed in cgs units of dyne cm⁻², it is equal to 1.9 × 10¹⁰.
Dimensions of Gravitational Constant
- If the speed of light (c), acceleration due to gravity (g), and pressure (p) are taken as fundamental units, the dimensions of gravitational constant (G) are -2b².
Number of Fundamental Units in SI System
- The number of fundamental units in SI system is 7.
Derivatives of Functions
- The first derivative and second derivative of the function y = sin x + cos x are cos x - sin x, -sin x - cos x.
Dimensions of Time
- If the speed of light (C), gravitational constant (G), and planks constant (h) are taken as fundamental units in a system, the dimension of time is G⁻¹h²C⁻³.
Significant Figures
- The number of significant figures in 0.007m² is 1.
- When considering significant figures, the value of (9.99 m – 0.0099 m) is 9.98 m.
Physical Quantity
- The physical quantity P is given by the relation P = P₀e^(-αt²), where t denotes the time.
- The dimensions of constant α are [T²]⁻¹.
Slope of a Function
- At x = 0, the value of slope is 1.
Significant Figures in Numbers
- The number of significant figures in 0.005 is 1 and that in 0.500 is 3.
- Zeros are not significant.
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