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A homogenous rod of length l = ηx and mass M is lying on a smooth horizontal floor. A bullet of mass m hits the rod at a distance x from the middle of the rod at a velocity v0 perpendicular to the rod and comes to rest after collision. If the velocity of the farther end of the rod just after the impact is in the opposite direction of v0, then:
30
Sep
A homogenous rod of length l = ηx and mass M is lying on a smooth horizontal floor. A bullet of mass m hits the rod at a distance x from the middle of the rod at a velocity v0 perpendicular to the rod and comes to rest after collision. If the velocity of the [...]
Two identical uniform solid spherical balls `A` and `B` of mass `m` each are placed on a the fixed wedge as shown in figure. Ball `B` is kept at rest and it is released just before two balls collides. Ball `A` rolls down without slipping on inclined plane and collide elastically with ball `B`. The kinetic energy of ball `A` just after the collision with ball `B` is:
30
Sep
Two identical uniform solid spherical balls `A` and `B` of mass `m` each are placed on a the fixed wedge as shown in figure. Ball `B` is kept at rest and it is released just before two balls collides. Ball `A` rolls down without slipping on inclined plane and collide elastically with ball `B`. The [...]
An impulse J is applied on a ring of mass m along a line passing through its centre O. The ring is placed on a rough horizontal surface. The linear velocity of centre of ring, once it starts rolling without slipping, is
30
Sep
An impulse J is applied on a ring of mass m along a line passing through its centre O. The ring is placed on a rough horizontal surface. The linear velocity of centre of ring, once it starts rolling without slipping, is An impulse J is applied on a ring of mass m along a [...]
A mas m hangs with help of a string wraped around a pulley on a frictionless bearling. The pulley has mass m and radius R. Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass m, if the string does not slip on the pulley, is:
28
Sep
A mas m hangs with help of a string wraped around a pulley on a frictionless bearling. The pulley has mass m and radius R. Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass m, if the string does not slip on the pulley, is: A mas m hangs with [...]
The figure shows a uniform rod lying along the x-axis. The locus of all the points lying on the xy-plane, about which the moment of in earth, of the rod is same as that about O, is
26
Sep
The figure shows a uniform rod lying along the x-axis. The locus of all the points lying on the xy-plane, about which the moment of in earth, of the rod is same as that about O, is about which the moment of in earth is of the rod is same as that about O The [...]
In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is :
24
Sep
In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after collision, is : a particle with an initial speed v0 strikes [...]
Block A of mass M = 2 kg is connected to another block B of mass m = 1 kg with a string and a spring of force constant k = 600 N/m as shown in Fig. Initially, spring is compressed to 10 cm and whole system is moving on a smooth surface with a velocity v = 1 m/s. At any time, thread is burnt, the velocity of block A, when B is having maximum velocity w.r.t. ground, is
21
Sep
Block A of mass M = 2 kg is connected to another block B of mass m = 1 kg with a string and a spring of force constant k = 600 N/m as shown in Fig. Initially, spring is compressed to 10 cm and whole system is moving on a smooth surface with a [...]
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Block A of mass M = 2 kg is connected to another block B of mass m = 1 kg with a string and a spring of force constant k = 600 N/m as shown in Fig. Initially ,
is ,
spring is compressed to 10 cm and whole system is moving on a smooth surface with a velocity v = 1 m/s. At any time ,
the velocity of block A ,
thread is burnt ,
when B is having maximum velocity w.r.t. ground ,
Two wires A and B of same material and mass have their lengths in the ratio 1 : 2. On connecting them to the same source, the rate of heat dissipation in B is found to be 5 W. The rate of heat B dissipation in A, is
20
Sep
Two wires A and B of same material and mass have their lengths in the ratio 1 : 2. On connecting them to the same source, the rate of heat dissipation in B is found to be 5 W. The rate of heat B dissipation in A, is is the rate of heat dissipation in [...]
The angle which the vector A = 2i + 3j makes with the y axis, where i and j are unit vectors along x and y axes, respectively, is
17
Sep
The angle which the vector A = 2i + 3j makes with the y axis, where i and j are unit vectors along x and y axes, respectively, is is respectively The angle which the vector A = 2i + 3j makes with the y axis where i and j are unit vectors along x [...]
The locus of the points (in the xy-plane) where the electric field due to a dipole (dipole axis is along x-axis and its equatorial is along y-axis) is perpendicular to its axis, is
17
Sep
The locus of the points (in the xy-plane) where the electric field due to a dipole (dipole axis is along x-axis and its equatorial is along y-axis) is perpendicular to its axis, is is The locus of the points (in the xy-plane) where the electric field due to a dipole (dipole axis is along x-axis [...]