Physics-
General
Easy
Question
The value of current in the following diagram will be:
![](data:image/png;base64,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)
- 0.10A
A
- 1 A
- 0 A
The correct answer is: 0 A
Related Questions to study
physics-
The value of current in the adjoining diagram will be:
![](data:image/png;base64,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)
The value of current in the adjoining diagram will be:
![](data:image/png;base64,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)
physics-General
physics-
A semiconductor P-N junction is to be forward biased with a battery of e.m.f. 1.5 Volt. If a potential difference of 0.5V appears on the junction which does not depend on current and on passing 10mA current through the junction there occurs huge Joule loss, then to use the junction at 5mA current, the resistance required to be connected in its series will be:
![](data:image/png;base64,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)
A semiconductor P-N junction is to be forward biased with a battery of e.m.f. 1.5 Volt. If a potential difference of 0.5V appears on the junction which does not depend on current and on passing 10mA current through the junction there occurs huge Joule loss, then to use the junction at 5mA current, the resistance required to be connected in its series will be:
![](data:image/png;base64,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)
physics-General
maths-
(Where [ ] denotes GIF) is equal to
(Where [ ] denotes GIF) is equal to
maths-General
physics-
In Find the maximum angle of deviation for a prism with angle
and
= 1.5, If a constant magnetic field of strength
T is applied parallel to the metal surface, then the radius of the largest circular path followed by the electrons will be :
In Find the maximum angle of deviation for a prism with angle
and
= 1.5, If a constant magnetic field of strength
T is applied parallel to the metal surface, then the radius of the largest circular path followed by the electrons will be :
physics-General
maths-
A quadratic equation f(x) = ax2 + bx + c = 0 has positive distinct roots reciprocal of each other .Which one is correct ?
A quadratic equation f(x) = ax2 + bx + c = 0 has positive distinct roots reciprocal of each other .Which one is correct ?
maths-General
physics-
The sun deliverse
of electromagnetic flux to the earth's surface. The total power that is incident on a roof of dimensions 8m ,20m, will be:
The sun deliverse
of electromagnetic flux to the earth's surface. The total power that is incident on a roof of dimensions 8m ,20m, will be:
physics-General
maths-
If
are the eccentric angles of the extremities of a focal chord of the ellipse
, then tan ![left parenthesis alpha divided by 2 right parenthesis t a n invisible function application left parenthesis beta divided by 2 right parenthesis equals](data:image/png;base64,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)
If
are the eccentric angles of the extremities of a focal chord of the ellipse
, then tan ![left parenthesis alpha divided by 2 right parenthesis t a n invisible function application left parenthesis beta divided by 2 right parenthesis equals](data:image/png;base64,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)
maths-General
maths-
If P(
), Q
are points on ellipse and
is angle between normals at P and Q then -
If P(
), Q
are points on ellipse and
is angle between normals at P and Q then -
maths-General
physics-
The Maxwell's four equations are written as:
i) ![not stretchy contour integral stack E with rightwards arrow on top. stack d s with rightwards arrow on top equals fraction numerator q subscript 0 end subscript over denominator epsilon subscript 0 end subscript end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGAAAAApCAYAAADKzyycAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAY00gKyAAAA95JREFUeNrtWl1kHFEUvtZaVRUqqqIqREWfokREHiJKVUVElIqKirxUrepDlDxEVPWlqk8RJSIqqpZaqyqqRK2oqFJVVVWlqqIPFSJWRcSyPUe+0ZlxZ+fO3juT7uz9+Ozs7MzOzDn3np9vrhAWUXGMOE/cIe4Ri8QF4ow1TfzIEMvEKWy3Ee8Qa8SxJG7gOHGZ+Ju4D+9nWsgBcwEj/RvxVBI38Iq4Sewi3iL+Io60kAM2EYL8s2I3iYuPYKpNEk9je4PY3iLGP0dcl+zvR1iKHRsIO1mX58PwWDJiTOEZsSNBB1wmPpHsv4rnlA3Yr6B2lGjDiI/q6SXEx/4YDHKDWCHmE3LAGJzuBzvlum/fAGZLO1jGPq2L12BQGfL4PYhVYrfCdWoNcikBBxwlfkEoYvQSV5EHh33HPicOub4PEl/oXPwuHnSqgRnwndgXg0HyCc8AxkliCfX/W+J54jbxiO+4ii9EZ7BPK97WGohlacoBMuTQkMlmsh/7Ohf6iD89a3sxD4YxI0TIDMjqzoA9xPGMtbkHk5AlREgOGEK+UAZ7bJr4Dk2Gk+xKiHsqDpMly30NJ+420QAYQOXDysEJVETDUfSOdYx4juEPYTxOpm+wXS/xnUHIMgn+z09NNjtGUIJvQzVQxjSM79StV2D0Ar4/wO+ddUrWpzHU4IVWiWvc8a74Gh52wCPXDNmq41VWB3WkWVW5d5b4E4OhJlIkB++ivXbX8o4G5KAU0H475WGj0qyq3DuL+8oZau7+K1ShezgoSAxQCNBFBOKe7CFV5FpVuZdn6YW0hqAKwo6DlzCg+4HXAtp/HrV/NK6tKvdyXvpAHI3ZFrUYGYgiqh0HOzihDd87UE6OS85l0e11gw8bVe7twH2WQ7rtpgtBg7ip++gHqqD7oX8ExF/OHcsNXjeq3CugwXB5ei1tYSgPo2+5Gqg1fHLl0RNw3ryILti5S01VudcNdvhEGnNBp6sJY6MvIuxk65zD1dGliPHVQRS510EfzkntW7lxGGlF8fjtOnE2F+IAhorc6+SkKuJ/qgVC5z3AbWFxKJD1ABYJogwHdFpTHA72NBurtKILDSrb5704kJyNo1t4VVCLA7CxeanJRXTpkxEqv1Bw1eG8ybkJB4xam3uwIGJaCDAHg6/Cs5+F+RcrzY4MyuJcHH9+Txy8guS2nt9pVup0vK2KXkl/Y2xZYhZOYN1lBonGwgsOxypv+4wuS7T4BxYqiyHHGF+WaOHNAZwb+7A9ITGu8WWJFl70ILSwJjUr+d34skSLaDC+LNEiGowvS7SIBu1liRZ60FqWaGEGyssS/wLT5k0he+1x+wAAAUJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjIyRTs8L21vPjxtb3ZlciBhY2NlbnQ9InRydWUiPjxtaT5FPC9taT48bW8+JiN4MjE5Mjs8L21vPjwvbW92ZXI+PG1vPi48L21vPjxtb3ZlciBhY2NlbnQ9InRydWUiPjxtcm93PjxtaT5kPC9taT48bWk+czwvbWk+PC9tcm93Pjxtbz4mI3gyMTkyOzwvbW8+PC9tb3Zlcj48bW8+PTwvbW8+PG1mcmFjPjxtc3ViPjxtaT5xPC9taT48bW4+MDwvbW4+PC9tc3ViPjxtc3ViPjxtaT4mI3gzQjU7PC9taT48bW4+MDwvbW4+PC9tc3ViPjwvbWZyYWM+PC9tYXRoPo1L57sAAAAASUVORK5CYII=)
ii) ![not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top equals 0](data:image/png;base64,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)
iii) ![not stretchy contour integral stack E with rightwards arrow on top. stack d l with rightwards arrow on top equals fraction numerator d over denominator d t end fraction not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top](data:image/png;base64,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)
iv) ![not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top equals mu subscript 0 end subscript epsilon subscript 0 end subscript fraction numerator d over denominator d t end fraction not stretchy contour integral stack E with rightwards arrow on top. stack d s with rightwards arrow on top](data:image/png;base64,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)
The equations which have sources of
and ![stack B with rightwards arrow on top](data:image/png;base64,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)
The Maxwell's four equations are written as:
i) ![not stretchy contour integral stack E with rightwards arrow on top. stack d s with rightwards arrow on top equals fraction numerator q subscript 0 end subscript over denominator epsilon subscript 0 end subscript end fraction](data:image/png;base64,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)
ii) ![not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top equals 0](data:image/png;base64,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)
iii) ![not stretchy contour integral stack E with rightwards arrow on top. stack d l with rightwards arrow on top equals fraction numerator d over denominator d t end fraction not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top](data:image/png;base64,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)
iv) ![not stretchy contour integral stack B with rightwards arrow on top. stack d s with rightwards arrow on top equals mu subscript 0 end subscript epsilon subscript 0 end subscript fraction numerator d over denominator d t end fraction not stretchy contour integral stack E with rightwards arrow on top. stack d s with rightwards arrow on top](data:image/png;base64,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)
The equations which have sources of
and ![stack B with rightwards arrow on top](data:image/png;base64,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)
physics-General
Maths-
The line x cos
+ y sin
= p touches the ellipse
, if :
The line x cos
+ y sin
= p touches the ellipse
, if :
Maths-General
maths-
If
and
are the eccentric angles of extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is -
If
and
are the eccentric angles of extremities of a focal chord of an ellipse, then the eccentricity of the ellipse is -
maths-General
Maths-
If x cos
+ y sin
= p is a tangent to the ellipse
, then -
If x cos
+ y sin
= p is a tangent to the ellipse
, then -
Maths-General
Maths-
Equation of chord of the ellipse
joining the points P (a cos
, b sin
) and Q (a cos
, b sin
) is 7
Equation of chord of the ellipse
joining the points P (a cos
, b sin
) and Q (a cos
, b sin
) is 7
Maths-General
physics-
In Young's double slit experiment, 12 fringes are obtained to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If wavelength of light is changed to 400 nm, number of fringes observed in the same segment of the screen is given by
In Young's double slit experiment, 12 fringes are obtained to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If wavelength of light is changed to 400 nm, number of fringes observed in the same segment of the screen is given by
physics-General
physics-
Intensity of central bright fringe due to interference of two identical coherent monochromatic sources is I. If one of the source is switched off, then intensity of central bright fringe becomes
Intensity of central bright fringe due to interference of two identical coherent monochromatic sources is I. If one of the source is switched off, then intensity of central bright fringe becomes
physics-General