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A small telescope has an objective of focal length 140 cm and an eye piece of focal length 5.0 cm. The magnifying power of telescope for viewing a distant object is:
$M = f_o/f_e = 140/5 = 28$.
If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then
A. the charge stored in it, increases.
B. the energy stored in it, decreases.
C. its capacitance increases.
D. the ratio of charge to its potential remains the same.
E. the product of charge and voltage increases.
Choose the most appropriate answer from the options given below:
Battery keeps $V$ constant; $C, Q, QV$ all increase; $U = \tfrac12 CV^2$ increases too — so B (decrease) wrong; ratio $Q/V = C$ changes — D wrong.
A 10 μF capacitor is connected to a 210 V, 50 Hz source as shown in figure. The peak current in the circuit is nearly ($\pi = 3.14$):
$X_C = 1/(\omega C) \approx 318.5\,\Omega$; $I_\text{peak} = \sqrt 2 \cdot 210/X_C \approx 0.93$ A.
Choose the correct circuit which can achieve the bridge balance. (Each option shows a four-arm Wheatstone arrangement with resistors 10 Ω, 10 Ω, 15 Ω and 5 Ω, a galvanometer $G$, a key $K$ and a cell $E$.)
A balanced Wheatstone requires $P/Q = R/S$ with $G$ on the bridge diagonal and the cell on the other diagonal.
Two heaters A and B have power rating of 1 kW and 2 kW, respectively. Those two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:
$R_A = 2R_B$; $P_\text{series}/P_\text{parallel} = (V^2/3R_B)/(3V^2/2R_B) = 2/9$.
The velocity ($v$) – time ($t$) plot of the motion of a body is shown below:
The acceleration ($a$) – time ($t$) graph that best suits this motion is:
Trapezoidal $v$–$t$ → positive constant $a$, then $a = 0$, then negative constant $a$.
If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is $\dfrac{x}{2}$ times its original time period. Then the value of $x$ is:
$T \propto \sqrt L$, mass-independent. $T_\text{new}/T_\text{old} = \sqrt{1/2} = x/2 \Rightarrow x = \sqrt 2$.
A metallic bar of Young's modulus, $0.5\times 10^{11}\ \text{N m}^{-2}$ and coefficient of linear thermal expansion $10^{-5}\ {}^\circ\text{C}^{-1}$, length 1 m and area of cross-section $10^{-3}\ \text{m}^2$ is heated from $0\,{}^\circ\text{C}$ to $100\,{}^\circ\text{C}$ without expansion or bending. The compressive force developed in it is:
$F = YA\alpha\Delta T = 0.5\times 10^{11} \cdot 10^{-3} \cdot 10^{-5} \cdot 100 = 5\times 10^4 = 50\times 10^3$ N.
A sheet is placed on a horizontal surface in front of a strong magnetic pole. A force is needed to:
A. hold the sheet there if it is magnetic.
B. hold the sheet there if it is non-magnetic.
C. move the sheet away from the pole with uniform velocity if it is conducting.
D. move the sheet away from the pole with uniform velocity if it is both, non-conducting and non-polar.
Choose the correct statement(s) from the options given below:
Magnetic sheet attracted (A needs holding force); conducting sheet feels eddy-current drag (C needs pushing force).
The property which is not of an electromagnetic wave travelling in free space is that:
EM waves are produced by accelerating charges, not uniformly moving ones.
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The bank mixes NEET previous year questions (PYQs) with practice questions, each tagged with its exam appearances where applicable.