In the arrangement shown in figure, pulley is smooth and massless and all the strings are light. Let\[{{F}_{1}}\] be the force exerted on the pulley in case (i) and \[{{F}_{2}}\] be the force in case (ii). Then
With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from a height h so that it may reach the top of the tube? (Radius of the tube is R)
A block of mass m is attached with a massless spring of force constant k. The block is placed over a rough inclined surface for which the coefficient of friction is \[\mu =3/4\]. The minimum value of M required to move the block up the plane is (Neglect mass of string and pulley and friction in pulley)
A uniform ring of mass M and radius R is placed directly above a uniform sphere of mass 8 M and of same radius R. The center of the ring is at a distance of \[d=\sqrt{3}R\] from the center of the sphere. The gravitational attraction between the sphere and the ring is
A wave represented by the equation \[{{y}_{1}}=A\,\cos \,(kx-\omega t)\] is superimposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation of the other wave is
A thin uniform rod of mass m moves translationally with acceleration a due to two antiparallel force of lever arm l. One force is of magnitude F and acts at one extreme end. The length of the rod is
Statement 1: In thermal conduction, energy is transferred due to chaotic motion of conduction electrons and atomic vibrations from region of high temperature to low temperature.
Statement 2: There is overall transference of particles of conducting body. -
A)
Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.
doneclear
B)
Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1.
The potential energy of a particle of mass 1 kg in motion along the x-axis is given by U=4(1-cos2x) Here x is in meter. The period of small oscillations (in sec), is________.
A solid sphere and a hollow sphere of equal mass and radius are placed over a rough horizontal surface after rotating it about its mass centre with same angular velocity \[{{\omega }_{0}}\] Once the pure rolling starts (let \[{{v}_{1}}\] and \[{{v}_{2}}\] be the linear speeds of their centre of masses), then
A set of 56 tuning forks are so arranged in series that each fork gives 4 beats per second with the previous one. The frequency of the last fork is 3 times that of the first. The frequency of the first fork is
A ball is projected vertically upwards with a high velocity v. It comes back to the ground in time t. Which of the following graphs shows the motion correctly?
The position x of a particle at time by \[x=\frac{{{v}_{0}}}{a}(1-{{e}^{-a\,\,t}})\]where \[{{v}_{0}}\] is constant and \[a>0.\] The dimensional formula of \[{{v}_{0}}\]and a are