1
JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I(t) = I0 cos ($$\omega$$t), with I0 = 1 A and $$\omega$$ = 500 rad s-1 starts flowing in it with the initial direction shown in the figure. At $$t = {{7\pi } \over {6\omega }}$$, the key is switched from B to D. Now onwards only A and D are connected. A total charge Q flows from the battery to charge the capacitor fully. If C = 20 $$\mu$$F, R = 10 $$\Omega$$ and the battery is ideal with emf of 50 V, identify the correct statement(s).

JEE Advanced 2014 Paper 1 Offline Physics - Alternating Current Question 11 English
A
Magnitude of the maximum charge on the capacitor before $$t = {{7\pi } \over {6\omega }}$$ is 1 $$\times$$ 10$$-$$3 C
B
The current in the left part of the circuit just before $$t = {{7\pi } \over {6\omega }}$$ is clockwise
C
Immediately after A is connected to D, the current in R is 10 A
D
Q = 2 $$\times$$ 10$$-$$3 C
2
JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
A light source, width emits two wavelengths $$\lambda$$1 = 400 nm and $$\lambda$$2 = 600 nm, is used in a Young's double-slit experiment. If recorded fringe widths for $$\lambda$$1 and $$\lambda$$2 are $$\beta$$1 and $$\beta$$2 and the number of fringes for them within a distance y on one side of the central maximum are m1 and m2, respectively, then
A
$$\beta$$2 > $$\beta$$1
B
m1 > m2
C
from the central maximum, 3rd maximum of $$\lambda$$2 overlaps with 5th minimum of $$\lambda$$1
D
the angular separation of fringes of $$\lambda$$1 is greater than $$\lambda$$2
3
JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
One end of a taut string of length 3 m along the x-axis is fixed at x = 0. The speed of the waves in the string is 100 ms$$-$$1. The other end of the string is vibrating in the y-direction so that stationary waves are set up in the string. The possible waveform(s) of these stationary wave is (are)
A
$$y(t) = A\sin {{\pi x} \over 6}\cos {{50\pi t} \over 3}$$
B
$$y(t) = A\sin {{\pi x} \over 3}\cos {{100\pi t} \over 3}$$
C
$$y(t) = A\sin {{5\pi x} \over 6}\cos {{250\pi t} \over 3}$$
D
$$y(t) = A\sin {{5\pi x} \over 2}\cos 250\pi t$$
4
JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
A student is performing an experiment using a resonance column and a tuning fork of frequency 244 s$$-$$1. He is told that the air in the tube has been replaced by another gas (assume that the column remains filled with the gas). If the minimum height at which resonance occurs is (0.350 $$\pm$$ 0.005) m, the gas in the tube is

(Useful information : $$\sqrt {167RT} $$ = 640 J1/2 mol$$-$$1/2; $$\sqrt {140RT} $$ = 590 J1/2 mol$$-$$1/2. The molar mass M in grams is given in the options. Take the values of $$\sqrt {10/M} $$ for each gas as given there.)
A
Neon $$\left( {M = 20,\sqrt {{{10} \over {20}}} = {7 \over {10}}} \right)$$
B
Nitrogen $$\left( {M = 28,\sqrt {{{10} \over {28}}} = {3 \over 5}} \right)$$
C
Oxygen $$\left( {M = 32,\sqrt {{{10} \over {32}}} = {9 \over {16}}} \right)$$
D
Argon $$\left( {M = 36,\sqrt {{{10} \over {36}}} = {{17} \over {32}}} \right)$$
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