1
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
Change Language
The instantaneous voltages at three terminals marked $$X,Y$$ and $$Z$$ are given by

$${V_x} = {V_0}\,\sin \,\omega t,$$

$${V_Y} = {V_0}\,\sin $$ $$\left( {\omega t + {{2\pi } \over 3}} \right)$$

and $$Vz = {V_0}\sin \left( {\omega t + {{4\pi } \over 3}} \right)$$

An ideal voltmeter is configured to read $$rms$$ value of the potential difference between its terminals. It is connected between points $$X$$ and $$Y$$ and then between $$Y$$ and $$Z.$$ The reading(s) of the voltmeter will be
A
$$V_{xy}^{rms} = {V_0}\sqrt {{3 \over 2}} $$
B
$$V_{YZ}^{rms} = {V_0}\sqrt {{1 \over 2}} $$
C
$$V_{XY}^{rms} = {V_0}$$
D
Independent of the choice of the two terminals
2
JEE Advanced 2017 Paper 2 Offline
MCQ (More than One Correct Answer)
+4
-1
Change Language
A uniform magnetic field $$B$$ exist in the region between $$x=0$$ and $$x = {{3R} \over 2}$$ (region $$2$$ in the figure) pointing normally into the plane of the paper. A particle with charge $$+Q$$ and momentum $$p$$ directed along $$x$$-axis enters region $$2$$ from region $$1$$$ at point $${P_1}\left( y \right) = - R).$$ Which of the following option(s) is/are correct?

JEE Advanced 2017 Paper 2 Offline Physics - Magnetism Question 40 English
A
For $$B > {2 \over 3}{p \over {QR}}$$ the particle well re-enter region $$1$$
B
For $$B = {8 \over {13}}{p \over {QR}},$$ the particle will enter region $$3$$ through the point $${P_2}$$ on $$x$$-axis
C
When the particle re-enters region $$1$$ through the longest possible path in region $$2,$$ the magnitude of the change in its linear momentum between point $${P_1}$$ and the farthest point from $$y$$-axis is $$p/\sqrt 2 $$
D
For a fixed $$B,$$ particles of same charge $$Q$$ and same velocity $$v,$$ the distance between the point $${P_1}$$ and the point of re-entry into region $$1$$ is inversely proportional to the mass of the particle
3
JEE Advanced 2017 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
Change Language
A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact with the bottom of the well. The error in his measurement of time is $$\delta T = 0.01$$ seconds and he measures the depth of the well to be $$L=20$$ meters. Take the acceleration due to gravity $$g = 10m{s^{ - 2}}$$ and the velocity of sound is $$300$$ $$m{s^{ - 1}}$$. Then the fractional error in the measurement, $$\delta L/L,$$ is closest to
A
$$0.2\% $$
B
$$1\% $$
C
3%
D
5%
4
JEE Advanced 2017 Paper 2 Offline
MCQ (Single Correct Answer)
+3
-0.75
Change Language
A rocket is launched normal to the surface of the Earth, away from the sun, along the line joining the Sun and the Earth. The Sun is $$3 \times 10{}^5$$ times heavier than the earth and is at a distance $$2.5 \times {10^4}$$ times larger than the radius of the Earth. The escape velocity from Earth's gravitational field is $${V_c} = 11.2km\,{s^{ - 1}}.$$. The minimum initial velocity $$\left( {{v_s}} \right)$$ required for the rocket to be able to leave the sun-earth system is closest to (Ignore the the rotation and revoluation of the earth and the presence of any other planet)
A
$${v_s} = 22\,km\,{s^{ - 1}}$$
B
$${v_s} = 42\,km\,{s^{ - 1}}$$
C
$${v_s} = 62km\,{s^{ - 1}}$$
D
$${v_s} = 72km{s^{ - 1}}$$
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