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A tightly wound 100 turns coil of radius 10 cm carries a current of 7 A. The magnitude of the magnetic field at the centre of the coil is (Take permeability of free space as $4\pi \times 10^{-7}$ SI units):
$B = \mu_0 N I/(2R) = 14\pi \times 10^{-4} \approx 4.4$ mT.
Given below are two statements:
Statement I: Atoms are electrically neutral as they contain equal number of positive and negative charges.
Statement II: Atoms of each element are stable and emit their characteristic spectrum.
In the light of the above statements, choose the most appropriate answer from the options given below:
Both statements are standard textbook facts.
The quantities which have the same dimensions as those of solid angle are:
Solid angle, strain and plane angle are all dimensionless.
If $c$ is the velocity of light in free space, the correct statements about photon among the following are:
A. The energy of a photon is $E = h\nu$.
B. The velocity of a photon is $c$.
C. The momentum of a photon, $p = \dfrac{h\nu}{c}$.
D. In a photon-electron collision, both total energy and total momentum are conserved.
E. Photon possesses positive charge.
Choose the correct answer from the options given below:
A–D true; E false (photons have zero charge).
A bob is whirled in a horizontal plane by means of a string with an initial speed of $\omega$ rpm. The tension in the string is $T$. If speed becomes $2\omega$ while keeping the same radius, the tension in the string becomes:
$T \propto \omega^2$, so tension becomes $4T$.
If $x = 5\sin\left(\pi t + \dfrac{\pi}{3}\right)$ m represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are:
Amplitude 5 m; $T = 2\pi/\pi = 2$ s.
A thermodynamic system is taken through the cycle $abcda$. The work done by the gas along the path $bc$ is:
$bc$ is isochoric ($V$ constant), so $W = \int P\,dV = 0$.
${}^{290}_{82}X \xrightarrow{\alpha} Y \xrightarrow{e^{+}} Z \xrightarrow{\beta^{-}} P \xrightarrow{e^{-}} Q$. In the nuclear emission stated above, the mass number and atomic number of the product $Q$ respectively, are:
$Q = (286, 81)$ after $\alpha$, $\beta^+$, $\beta^-$, $\beta^-$.
Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity $v_1$ while body B is at rest before collision. The velocity of the system after collision is $v_2$. The ratio $v_1 : v_2$ is:
$mv_1 = 2m v_2 \Rightarrow v_1 : v_2 = 2 : 1$.
In the following circuit, the equivalent capacitance between terminal $A$ and terminal $B$ is:
Balanced bridge → middle $2\,\mu F$ carries no charge. Two arms each give $1\,\mu F$ in series; in parallel: $2\,\mu F$.
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The bank mixes NEET previous year questions (PYQs) with practice questions, each tagged with its exam appearances where applicable.