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JEE Advanced 2014 Paper 1 Offline
Numerical
+3
-0
To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses dimensional analysis and assumes that the distance depends on the mass density $$\rho $$ of the fog, intensity (power/area) S of the light from the signal and its frequency f. The engineer finds that d is proportional to S1/n. The value of n is
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JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+3
-0
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
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JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+3
-0
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
4
JEE Advanced 2014 Paper 1 Offline
MCQ (More than One Correct Answer)
+3
-0
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
$$y(t) = A\sin {{5\pi x} \over 2}\cos 250\pi t$$
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