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A horizontal force $10\ N$ is applied to a block $A$ as shown in figure. The mass of blocks $A$ and $B$ are 2 kg and 3 kg, respectively. The blocks slide over a frictionless surface. The force exerted by block $A$ on block $B$ is:
$a = 10/5 = 2$ m/s²; force on B $= 3 \times 2 = 6$ N.
A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is $v$ in the direction shown, which one of the following options is correct ($P$ and $Q$ are any highest and lowest points on the wheel, respectively)?
Pure rolling: top $2v$, contact 0.
The mass of a planet is $\dfrac{1}{10}$th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is:
$g_p = (1/10)(2)^2 g_e = 0.4 \times 9.8 = 3.92$ m/s².
The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are $8\times 10^8\ \text{N m}^{-2}$ and $2\times 10^{11}\ \text{N m}^{-2}$, is:
$\Delta L = \sigma L/Y = 4\times 10^{-3}$ m $= 4$ mm.
If the monochromatic source in Young's double slit experiment is replaced by white light, then
Path difference 0 at the centre for all $\lambda$ → white fringe; coloured fringes either side.
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:
$R_A = 2R_B$; $P_\text{series}/P_\text{parallel} = (V^2/3R_B)/(3V^2/2R_B) = 2/9$.
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The bank mixes NEET previous year questions (PYQs) with practice questions, each tagged with its exam appearances where applicable.