Units and Measurement questions
875 published questions with worked solutions.
- If the dimensions of length are expressed as G^xc^yh^z, where G,c,h are the universal gravitational constant, speed of light and...
- Let [ _0] denote the dimensional formula of the permittivity of the vacuum and [ _0] that of the permeability of the vacuum. If...
- Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed are given in...
- Column I gives three physical quantities. Select the appropriate units for the choices given in Column II. (Some quantities may...
- **Assertion:** Surface tension and surface energy have the same dimensions. **Reason:** Both have the same SI unit.
- **Assertion:** When we change the unit of measurement of a quantity, its numerical value changes. **Reason:** Smaller the unit of...
- **Assertion:** In y=A ( t-kx), ( t-kx) is dimensionless. **Reason:** Dimension of is [M^0L^0T^1].
- **Assertion:** Dimensional constants are the quantities whose values are constant. **Reason:** Dimensional constants are...
- **Assertion:** Nowadays a standard metre is defined in terms of the wavelength of light. **Reason:** Light has no relation with...
- **Assertion:** In the relation f= 1 2l T/m , where the symbols have their usual meaning, m represents linear mass density....
- **Assertion:** 'Light year' and 'wavelength' both measure distance. **Reason:** Both have the dimensions of time.
- **Assertion:** Force cannot be added to pressure. **Reason:** Their dimensions are different.
- **Assertion:** Linear mass density has the dimensions [M^1L^ -1 T^0]. **Reason:** Density is always mass per unit volume.
- **Assertion:** Out of three measurements l=0.7 ,m; l=0.70 ,m and l=0.700 ,m, the last one is most accurate. **Reason:** In every...
- **Assertion:** The error in the measurement of radius of a sphere is 0.3 %. The permissible error in its surface area is 0.6 %....
- **Assertion:** The time period of a pendulum is given by T=2 g/l . **Reason:** According to the principle of homogeneity of...
- **Assertion:** Mass, length and time are fundamental physical quantities. **Reason:** They are independent of each other.
- The surface tension of a liquid is 70 ,dyne/cm; in the MKS system its value is **[CPMT 1973, AFMC 1996, BHU 2002]**
- A dimensionally consistent relation for the volume V of a liquid of coefficient of viscosity flowing per second through a tube of...
- The position of a particle at time t is given by the equation x(t)= v_0 (1-e^ - t ), where v_0 is a constant and >0. The...
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