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A solid cylinder of uniform density of radius 2 cm has mass of 50 g. If its length is 12 cm, calculate its moment of inertia about an axis passing through its centre and perpendicular to its length.
Concept: Physical Significance of M.I (Moment of Inertia)
Choose the correct option.
If the pressure of an ideal gas decreases by 10% isothermally, then its volume will ______.
Concept: Classification of Gases: Real Gases and Ideal Gases
A solid sphere of mass 1 kg rolls on a table with linear speed 2 m/s, find its total kinetic energy.
Concept: Rolling Motion
A uniform solid sphere has radius 0.2 m and density 8 x 103 kg/m3. Find the moment of
inertia about the tangent to its surface. (π = 3.142)
Concept: Physical Significance of M.I (Moment of Inertia)
If a rigid body of radius ‘R’ starts from rest and rolls down an inclined plane of inclination
‘θ’ then linear acceleration of body rolling down the plane is _______.
Concept: Rolling Motion
The body is rotating with uniform angular velocity (w) having rotational kinetic energy (E). Its angular momentum (L) is: ...............
a) `(2E)/ω`
b) `E^2/ω`
c) `E/ω^2`
d) `E/(2ω)`
Concept: Definition of M.I., K.E. of Rotating Body
A uniform solid sphere has a radius 0.1 m and density 6 x 103 kg/m3• Find its moment of inertia about a tangent to its surface.
Concept: Physical Significance of M.I (Moment of Inertia)
A stone of mass 2 kg is whirled in a horizontal circle attached at the end of 1.5m long string. If the string makes an angle of 30° with vertical, compute its period. (g = 9.8 m/s2)
Concept: Rolling Motion
The kinetic energy of emitted photoelectorns is independent of ............
(a) frequency of incident radiation.
(b) intensity of incident radiation.
(c) wavelength of incident radiation
(d) collector plate potential
Concept: Definition of M.I., K.E. of Rotating Body
A ballet dancer spins about a vertical axis at 2.5Π rad/s with his both arms outstretched. With the arms folded, the moment of inertia about the same axis of rotation changes by 25%. Calculate the new speed of rotation in r.p.m.
Concept: Physical Significance of M.I (Moment of Inertia)
If ‘L’ is the angular momentum and ‘I’ is the moment of inertia of a rotating body, then `L^2/(2I)`represents its _____
(A) rotational P.E.
(B) total energy
(C) rotational K.E.
(D) translational K.E
Concept: Definition of M.I., K.E. of Rotating Body
A thin ring has mass 0.25 kg and radius 0.5 m. Its moment of inertia about an axis passing through its centre and perpendicular to its plane is _______.
Concept: Physical Significance of M.I (Moment of Inertia)
Define radius of gyration. Write its physical significance.
Concept: Definition of M.I., K.E. of Rotating Body
The radius of gyration of a body about an axis, at a distance of 0.4 m from its centre of mass is 0.5 m. Find its radius of gyration about a parallel axis passing through its centre of mass.
Concept: Definition of M.I., K.E. of Rotating Body
Discuss the interlink between translational, rotational and total kinetic energies of a rigid object rolls without slipping.
Concept: Rolling Motion
Choose the correct option.
The mean free path λ of molecules is given by where n is the number of molecules per unit volume and d is the diameter of the molecules.
Concept: Mean Free Path
The ratio of emissive power of perfect blackbody at 1327°C and 527°C is ______.
Concept: Emission of Heat Radiation
Mention the conditions under which a real gas obeys the ideal gas equation.
Concept: Classification of Gases: Real Gases and Ideal Gases
State the law of equipartition of energy and hence calculate the molar specific heat of mono-atomic and di-atomic gases at constant volume and constant pressure.
Concept: Law of Equipartition of Energy
Answer in brief:
Compare the rms speed of hydrogen molecules at 127°C with rms speed of oxygen molecules at 27ºC given that molecular masses of hydrogen and oxygen are 2 and 32 respectively.
Concept: Interpretation of Temperature in Kinetic Theory
