Practice Set 1
Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is S but the height of liquid in one vessel is x1 and in the other, x2. When both cylinders are connected through a pipe of negligible volume very close to the bottom, the liquid flows from one vessel to the other until it comes to equilibrium at a new height. The change in energy of the system in the process is
18
Sep
Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the base of both vessels is S but the height of liquid in one vessel is x1 and in the other, x2. When both cylinders are connected through a pipe of negligible volume very [...]
A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv^2, where v is its speed. The maximum height attained by the ball is
18
Sep
A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv^2, where v is its speed. The maximum height attained by the ball is A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive [...]
A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of capacitance C/2. The energy loss in the process after the charge is distributed between the two capacitors is
18
Sep
A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected in parallel with another uncharged capacitor of capacitance C/2. The energy loss in the process after the charge is distributed between the two capacitors is A capacitor C is fully charged with voltage V0. After disconnecting the voltage [...]
A particle of charge q and mass m is subjected to an electric field E=E0(1−ax^2) in the x -direction, where a and E0 are constants. Initially the particle was at rest at x=0. Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin is :
18
Sep
A particle of charge q and mass m is subjected to an electric field E=E0(1−ax^2) in the x -direction, where a and E0 are constants. Initially the particle was at rest at x=0. Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin [...]
A paramagnetic sample shows a net magnetisation of 6 A/m when it is placed in an external magnetic field of 0.4 T at a temperature of 4 K. When the sample is placed in an external magnetic field of 0.3 T at a temperature of 24 K, then the magnetisation will be
18
Sep
A paramagnetic sample shows a net magnetisation of 6 A/m when it is placed in an external magnetic field of 0.4 T at a temperature of 4 K. When the sample is placed in an external magnetic field of 0.3 T at a temperature of 24 K, then the magnetisation will be The value of [...]
For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through O (the centre of mass) and O’ (corner point) is
18
Sep
For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through O (the centre of mass) and O’ (corner point) is For a uniform rectangular sheet shown in the figure the ratio of moments of inertia about the axes perpendicular to [...]
The electric field of a plane electromagnetic wave is given by E = E0 (x + y)sin(kz – ωt) Its magnetic field will be given by
18
Sep
The electric field of a plane electromagnetic wave is given by E = E0 (x + y)sin(kz – ωt) Its magnetic field will be given by The electric field of a plane electromagnetic wave is given by E = E0 (x + y)sin(kz - ωt) Its magnetic field will be given by September 18, 2021 [...]
Consider two uniform discs of the same thickness and different radii R1 = R and R2 = αR made of the same material. If the ratio of their moments of inertia I1 and I2, respectively, about their axes is I1 : I2 = 1 : 16 then the value of α is
18
Sep
Consider two uniform discs of the same thickness and different radii R1 = R and R2 = αR made of the same material. If the ratio of their moments of inertia I1 and I2, respectively, about their axes is I1 : I2 = 1 : 16 then the value of α is about their axes [...]
A series L-R circuit is connected to a battery of emf V. If the circuit is switched on at t = 0, then the time at which the energy stored in the inductor reaches (1/n) times of its maximum value, is
18
Sep
A series L-R circuit is connected to a battery of emf V. If the circuit is switched on at t = 0, then the time at which the energy stored in the inductor reaches (1/n) times of its maximum value, is A series L-R circuit is connected to a battery of emf V. If the [...]
Find the binding energy per nucleon for 12050Sn. Mass of proton mp = 1.00783 U, mass of neutron mn = 1.00867 U and mass of tin nucleus mSn = 119.902199 U. (take 1U = 931 MeV)
18
Sep
Find the binding energy per nucleon for 12050Sn. Mass of proton mp = 1.00783 U, mass of neutron mn = 1.00867 U and mass of tin nucleus mSn = 119.902199 U. (take 1U = 931 MeV) Find the binding energy per nucleon for 12050Sn. Mass of proton mp = 1.00783 U mass of neutron mn [...]