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Given below are two statements: Assertion (A): When a firecracker (rocket) explodes in mid-air, its fragments fly in such a way that they continue moving in the same path, which the firecracker would have followed, had it not exploded. Reason (R): The explosion of cracker (rocket) occurs due to internal forces only and no external force acts for this explosion.
Force $F$ on a particle moving in a straight line varies with distance $d$ as shown in the figure. The work done on the particle during its displacement of $12$ m is:
A block of mass $M$ is attached to the lower end of a vertical spring. The spring is hung from the ceiling and has a force constant value of $k$. The mass is released from rest with the spring initially unstretched. The maximum extension produced along the length of the spring will be:
If a diamagnetic substance is brought near the north or the south pole of a bar magnet, it is
An electric lift with a maximum load of $2000\text{ kg}$ (lift+passengers) is moving up with a constant speed of $1.5\text{ m s}^{-1}$. The frictional force opposing the motion is $3000\text{ N}$. The minimum power delivered by the motor to the lift in watts is: (Take $g=10\text{ m s}^{-2}$)
The energy that will be ideally radiated by a $100\text{ kW}$ transmitter in $1\text{ hr}$ is:
The energies E₁ and E₂ of two radiations are 25 eV and 50 eV respectively. The relation between their wavelengths i.e., λ₁ and λ₂ will be:
The variation of susceptibility ($\chi$) with absolute temperature ($T$) for a paramagnetic material is represented as:
A thin diamagnetic rod is placed vertically between the poles of an electromagnet. When the current in the electromagnet is switched on, then the diamagnetic rod is pushed up, out of the horizontal magnetic field. Hence the rod gains gravitational potential energy. The work required to do this comes from:
Given below are two statements: Statement I: The value of wave function, Ψ depends upon the coordinates of the electron in the atom. Statement II: The probability of finding an electron at a point within an atom is proportional to the orbital wave function. In light of the above statements, choose the correct answer from the options given below:
Three different objects of mass $m_1$, $m_2$ and $m_3$ are allowed to fall from rest and from the same point 'O' along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of:
If $\theta_1$ and $\theta_2$ be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip $\theta$ is given by:
The magnetic susceptibility is negative for
Identify the wrong statement with reference to immunity.
A bullet of mass $m$ hits a stationary block of mass $M$ elastically. The transfer of energy is the maximum, when:
A man fires a bullet of mass $200 \text{ g}$ at a speed of $5 \text{ m/s}$. The gun is of one kg mass. By what velocity the gun rebounds backwards?
D-(+)-glucose reacts with hydroxylamine and yields an oxime. The structure of the oxime would be:
A magnetic needle suspended parallel to a magnetic field requires $\sqrt{3}$ J of work to turn it through $60^\circ$. The torque needed to maintain the needle in this position will be:
There are four light-weight-rod samples A, B, C, D separately suspended by threads. A bar magnet is slowly brought near each sample and the following observations are noted: (i) A is feebly repelled (ii) B is feebly attracted (iii) C is strongly attracted (iv) D remains unaffected Which one of the following is true?
Placentation, in which ovules develop on the inner wall of the ovary or in peripheral part, is: