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WorksheetsD.C PANDEYCH.1. CHECK POINT 1.1
Total questions: 21
Worksheet time: 11mins
In the SI system, the unit of temperature is
degree centigrade
kelvin
degree celsius
degree Fahrenheit
Which amongst the following is not equal to watt?
joule/second
ampere - volt
(ampere)² - ohm
ampere/volt
Joule - second is the unit of
energy
momentum
angular momentum
power
Which amongst the following pairs has the same units?
Wavelength and Rydberg constant
Relative velocity and relative density
Thermal capacity and Boltzmann constant
Time period and acceleration gradient
Density of liquid in CGS system is 0.625 g cm⁻³. What is its magnitude in SI system?
0.625
0.0625
0.000625
625
Dimensions of surface tension are
[M¹L²T⁻²]
[ML²T⁻²]
[MT⁻²]
[ML⁻¹T⁻²]
The dimensions of impulse are equal to that of
force
linear momentum
pressure
angular momentum
Which of the following does not possess the same dimensions as that of pressure?
Stress
Bulk modulus
Thrust
Energy density
What is the dimensional formula of gravitational constant?
[M¹L²T⁻²]
[ML⁻¹T⁻²]
[M⁻¹L³T⁻²]
None of these
Which one of the following have same dimensions?
Torque and force
Potential energy and force
Torque and potential energy
Planck's constant and linear momentum
The force F on a sphere of radius a moving in a medium with kinematic viscosity η is given by F = 6πη a v. The dimensions of η are
ML⁻¹
ML⁻¹T⁻²
[M¹T⁻¹]
[ML⁻¹T⁻¹]
The dimensional representation of specific resistance in terms of charge Q is
[M¹L³T⁻²Q⁻²]
[M²L³T⁻²Q⁻²]
[ML³T⁻²Q⁻¹]
[ML²T⁻³Q⁻²]
The dimensional formula for Planck's constant and angular momentum is
[ML²T⁻²] and [MLT⁻¹]
[ML²T⁻¹] and [ML²T⁻¹]
[ML²T⁻¹] and [ML²T⁻²]
[MLT⁻¹] and [MLT⁻²]
The dimensions of 1/2 ε₀E² (ε₀ is the permittivity of the space and E is electric field), are
[ML²T⁻²]
[ML⁻¹T⁻²]
[ML²T⁻²]
[MLT⁻²]
The units of length, velocity and force are doubled. Which of the following is the correct change in the other units?
Unit of time is doubled
Unit of mass is doubled
Unit of momentum is doubled
Unit of energy is doubled
Given that y = a cos [t/p - qx], where y represents time and x represents distance; which amongst the following statements which is(are) true?
The unit of x is same as that of q
The unit of x is same as that of p
The unit of t is same as that of q
The unit of t is same as that of p
The dimensions of p/bx in the equation p=bxa−t2 , where p is pressure, x is distance and t is time, are
[ML²T⁻²]
[MT⁻²]
[LT⁻³]
[ML⁻¹T⁻²]
The equation of a wave is given by y = a sin ω [x/v - k], where ω is angular velocity and v is the linear velocity. The dimensions of k will be
[T⁻¹]
[T⁻¹]
[T]
[LT]
If muscle times speed equals power, then what is the ratio of the SI unit and the CGS unit of muscle?
10³
10⁵
10⁷
10⁻⁵
If p represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, then for what values of non-zero integers x, y and z, pˣQʸcᶻ is dimensionless?
x = 1, y = 1, z = -1
x = 1, y = -1, z = 1
x = -1, y = 1, z = 1
x = 1, y = 1, z = 1
Assuming that the mass m of the largest stone that can be moved by a flowing river depends upon the velocity v of the water, its density ρ and the acceleration due to gravity g. Then, m is directly proportional to
v³
v⁶
v⁵
v⁴
