If speed (V)
Consider a gas of triatomic molecules. The molecules are assumed to be triangular and made of massless rigid rods whose vertices are occupied by atoms. The internal energy of a mole of the gas at temperature T is
18
Sep
Consider a gas of triatomic molecules. The molecules are assumed to be triangular and made of massless rigid rods whose vertices are occupied by atoms. The internal energy of a mole of the gas at temperature T is area A and force F are chosen as fundamental units If speed (V) then the dimension of [...]
A wire of density 9 × 10^–3 kg cm^–3 is stretched between two clamps 1 m apart. The resulting strain in the wire is 4.9 × 10^–4. The lowest frequency of the transverse vibrations in the wire is (Young’s modulus of wire Y = 9 x 10^10 Nm^–2), (to the nearest integer),…….
18
Sep
A wire of density 9 × 10^–3 kg cm^–3 is stretched between two clamps 1 m apart. The resulting strain in the wire is 4.9 × 10^–4. The lowest frequency of the transverse vibrations in the wire is (Young’s modulus of wire Y = 9 x 10^10 Nm^–2), (to the nearest integer),……. area A and [...]
A particle of mass m is moving along the x-axis with initial velocity u^i . It collides elastically with a particle of mass 10 m at rest and then moves with half its initial kinetic energy (see figure). If sin θ1 =√ n sin θ2 then value of n is.
18
Sep
A particle of mass m is moving along the x-axis with initial velocity u^i . It collides elastically with a particle of mass 10 m at rest and then moves with half its initial kinetic energy (see figure). If sin θ1 =√ n sin θ2 then value of n is. area A and force F [...]
A light ray enters a solid glass sphere of refractive index μ = √ 3 at an angle of incidence 60°. The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and refracted rays at this surface is ….
18
Sep
A light ray enters a solid glass sphere of refractive index μ = √ 3 at an angle of incidence 60°. The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and refracted rays at this surface is …. area A and force F [...]
A square shaped hole of side I = a/2 carved out at a distance d = a/2 from the centre ‘O’ of a uniform circular disk of radius a. If the distance of the centre of mass of the remaining portion from O is −ax , value of X (to the nearest integer) is ………..
18
Sep
A square shaped hole of side I = a/2 carved out at a distance d = a/2 from the centre ‘O’ of a uniform circular disk of radius a. If the distance of the centre of mass of the remaining portion from O is −ax , value of X (to the nearest integer) is ……….. [...]
Two uniform circular discs are rotating independently in the same direction around their common axis passing through their centres. The moment of inertia and angular velocity of the first disc are 0.1 kg-m^2 and 10 rad s–1 respectively while those for the second one are 0.2 kg-m^2 and 5 rad s–1 respectively. At some instant they get stuck together and start rotating as a single system about their common axis with some angular speed. The kinetic energy of the combined system is
18
Sep
Two uniform circular discs are rotating independently in the same direction around their common axis passing through their centres. The moment of inertia and angular velocity of the first disc are 0.1 kg-m^2 and 10 rad s–1 respectively while those for the second one are 0.2 kg-m^2 and 5 rad s–1 respectively. At some instant [...]
A charge Q is distributed over two concentric hollow spheres of radii r and R (>r) such that the surface densities are equal and placed on the same axial points. Then the potential at the common centre is
18
Sep
A charge Q is distributed over two concentric hollow spheres of radii r and R (>r) such that the surface densities are equal and placed on the same axial points. Then the potential at the common centre is area A and force F are chosen as fundamental units If speed (V) then the dimension of [...]
A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electric field in this region in the horizontal direction. Which of the following options then correctly describe the trajectory of the mass? (Curves are drawn schematically and are not to scale).
18
Sep
A small point mass carrying some positive charge on it, is released from the edge of a table. There is a uniform electric field in this region in the horizontal direction. Which of the following options then correctly describe the trajectory of the mass? (Curves are drawn schematically and are not to scale). A small [...]
A 10 μF capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it is connected to an uncharged capacitor in parallel. Now the potential difference across them becomes 20 V. The capacitance of the second capacitor is
18
Sep
A 10 μF capacitor is fully charged to a potential difference of 50 V. After removing the source voltage it is connected to an uncharged capacitor in parallel. Now the potential difference across them becomes 20 V. The capacitance of the second capacitor is area A and force F are chosen as fundamental units If [...]
The figure shows a region of length ‘l’ with a uniform magnetic field of 0.3 T in it and a proton entering the region with velocity 4 × 10^5 ms^–1 making an angle 60° with the field. If the proton completes 10 revolution by the time it cross the region shown, ‘l’ is close to (mass of proton = 1.67 × 10^–27 kg, charge of the proton = 1.6 × 10^–19C)
18
Sep
The figure shows a region of length ‘l’ with a uniform magnetic field of 0.3 T in it and a proton entering the region with velocity 4 × 10^5 ms^–1 making an angle 60° with the field. If the proton completes 10 revolution by the time it cross the region shown, ‘l’ is close to [...]