Maths-
General
Easy
Question
In
then find
in the figure.
![](data:image/png;base64,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)
The correct answer is: ![50 to the power of ring operator end exponent](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAQCAYAAAB3AH1ZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAPUJuPDwAAAQRJREFUeNpjYKA96ADiT1DcwUBnALLwKBBLQvFhejviC9RiGJCEhgQG+I8HowM+IJ4GxCeheCZUjGIHEAv2ArEfEt8HKkZMFBzFFQXEOiAUiCdhEZ8AxJF4HPEFinHGP7EOWAPEbljEHaFyZANiHfAOiNmwiIPEXlLqgF/QBLINiIuAmAeLuj94zPhFjWzDAsTGQFwLxDeAWIMEB/ygdh4GxfVBNLGXOKKAg9IoINZXoITmgcOxa6htuQ4Q30UTCwLi2VjUzseTDYkC64DYEoiZoNgDankQFrX7gbgAml5A0VGNJapIBqAC5hY0kYGy2iogNsWhVhCI50Kj5xu0KOZhGKoAADTyQ6u20Ow5AAAAaHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3VwPjxtbj41MDwvbW4+PG1vPiYjeDIyMTg7PC9tbz48L21zdXA+PC9tYXRoPjtQQjsAAAAASUVORK5CYII=)
Related Questions to study
maths-
Find ‘b’ in the given figure .
![](data:image/png;base64,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)
Find ‘b’ in the given figure .
![](data:image/png;base64,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)
maths-General
maths-
Find x in the given figure .
![](data:image/png;base64,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)
Find x in the given figure .
![](data:image/png;base64,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)
maths-General
physics-
A wire has resistance of 24 W is bent in the following shape. The effective resistance between A and B is
![](data:image/png;base64,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)
A wire has resistance of 24 W is bent in the following shape. The effective resistance between A and B is
![](data:image/png;base64,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)
physics-General
physics-
The net emf and internal resistance of three batteries as shown in figure is :
![](data:image/png;base64,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)
The net emf and internal resistance of three batteries as shown in figure is :
![](data:image/png;base64,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)
physics-General
maths-
if
then find y in the given figure.
![](data:image/png;base64,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)
if
then find y in the given figure.
![](data:image/png;base64,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)
maths-General
maths-
In the given figure, if
find x y
![](data:image/png;base64,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)
In the given figure, if
find x y
![](data:image/png;base64,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)
maths-General
maths-
Find the value of a+b in the given figure
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/478061/1/951206/Picture57.png)
Find the value of a+b in the given figure
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/478061/1/951206/Picture57.png)
maths-General
physics-
In the figure, the potentiometer wire AB of length L and resistance 9r is joined to the cell D of emf e and internal resistance r. The cell C's emf is
and is internal resistance is 2r. The galvanometer G will show no deflection when the length AJ is
![](data:image/png;base64,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)
In the figure, the potentiometer wire AB of length L and resistance 9r is joined to the cell D of emf e and internal resistance r. The cell C's emf is
and is internal resistance is 2r. The galvanometer G will show no deflection when the length AJ is
![](data:image/png;base64,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)
physics-General
physics-
By error, a student places moving–coil voltmeter V (nearly ideal) in series with the resistance in a circuit in order to read the current, as shown. The voltmeter reading will be
![](data:image/png;base64,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)
By error, a student places moving–coil voltmeter V (nearly ideal) in series with the resistance in a circuit in order to read the current, as shown. The voltmeter reading will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGMAAABRCAYAAADGiRgzAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAkOSURBVHhe7ZwLUFTXGcf/+wAlDohSWh8gg4kKDUGSTmqbR2tGp5OoMXWsD2ao07RMHV+t2lFrx2c0Rp0JZio+xkQSJ6ZVE6Pl5QM1EeuLVZoAIg9F5CHC7gJ7l132de/pvZe7uOKuYcVdDuz9zZw5537ncd37P+c791zPQUF4IEMFSimWoQBZDIqQxaAIWQyKkMWgCFkMipDFoAhZDIqQxaCIXhVDkV4lBpkO5JFBEVSJEegjRR4ZFNHtr7YJ8fH4YNs2qJRKqNRqKPlYzccqlQpKPqj5IKSdodMmlBHquKalOPKwUWybLB4txs5R4bwONLwSQ+DnEyaA4ziwDgdYKXawLDg+sHxwpj3ZhPJCfQcf31iUI7bZVYznd019IGwXAd3ahNhZng9CJxA6gyeb0ImEzuRaX8x3Z3PWkdLu2vHU9pKFC1Fy86b4m7qD12J40/gP0XUkOK+1c8NEEV0FFIV3Z3MRV8h32sS0FDrruAaX+s62H7E523HT5mODVL+4qEj8Pd19ZlSK0V/clLfPTJ7AKYIqMYQR0V9GxZMgjwyK6FUxAn0kdEUeGRQhi0ERlIjBwmxql9I8NgZNTQbYpcueYmea0GSwSVf04hsxrE249uFsTFn2GU7n5eH0ke3Yl2eWMrvAGVB5ZBVSt2sgPi6mABkb3sPWVfOQvPY0tJwRt75cit9MXoUTDR0P1FiajkULP0O5Sbx8LEzBfmx8bwtWz5uL9aebwEn2R+GgL8jA5k27cDgrB1lf7MQHHx7r1j2eGsKirzs8Hxcnhu5iPr6EzEorInbhwsGQVsZKLG0MMRgMnYExWQnLZ9vLd5NFG84Tq1D03l1SKySsRWRH8gpyyiwUuEnS5ySTPeVia8R0IYN8/p1QqAObvpHoWhtJbUMLYVzaNzAMqblTK7ZrK0ojKStOEqE5d7DaLLJ8yl9Jlk74Fwk4yO19KeTtTZeISbJ4i7fPzIduisDSdAv/u34FOQfPoS6Iwc1vc5Gbk9MZTl68DbHjKRRiDQHV8FGIChZSdqjHJSFeSKvHYsb0Qcj7shBWrhn/rXgGv0wQC4FjyrB/WSre//w4MrOO44RL+7knrsAUEYWO5tQYm/TTjrQbHGUalAxJQGK485GoED0+Dux311DjkEw+xodiKBA8eDhiY2MxalgYgpQc7BYzzGaXYLWDc+s3WNzLL0b0nJmIVgnXSoyYMhPPXT2Cs5XnUT/0dcSKdj4nLBbPjoxC4jvvYtb40IfbN1lhF27A1iO/OAqzZkbzj9g9qlGjEWXSQ8dKBh5bcwsQHYthasnga6QR8oP0yE3xQ76xukZMucNesafTTfEOgxhKTpGcQh2fMhFTp4+wEM2W6eS389LISb3TlQhYSN7qBeTTGod03QXWQEpOZZNCwf2Y2jy6HGubjpQe3U62HiggjXxRa1Ue2bkxjZwqbyaM6+28gA43xU/gJZX30XL7Cs7xE/ipIx/h04sub0sPYUbTnXr+7akGdUYOxsK9WL7mYxxNX4nUlLU41uDsqgOQ9LspiHn2Jbw+FNBeOogD39SBNdWhprEeVeU6N29fRhTuXYp1H3+F3Sv/iHlrj6GzuYdgoT2+BRv/U4aKnExcMTlQdz4bV6pL8K9/7MAFq1TMx/TqV1vvsaK9PQghIUqwTAWO5tTireRJCJVyaaOff7UdIAohYGmxIGnyRGqFeBL6mBgPGBSTiLGRnqbjvkmfFaM/IotBEbIYFCGLQRGyGBQhi0ERshgUIYtBEbIYFCGLQRGyGBQhi0ERvSNGux56k+etAYGK/8XgWpC/dT62O//HhtNDk7EJm3cdQnZOJv69832kHSuHh70k/Ro/i8HBcO0MqhRDpBtz0OVuxqaiJCxYMBfTpk5H8sJkDP76b9hxOfDk8K8YTCHO3Y/HxNFBksGBMk0xwhPG48GmjCgkxrH4/tpdPjew8KMYDDSZNxD+whAY22ywMK0wcyqMGh0Nk17rsrnMjo5NGcPgr00ZtOA/Mdg2WGHEjeyvcbKoAbWai7jVziJi2gqkKPNwSCPs9rOh+kwGNCOXYf6raheBAgP/iaEagddSFmPxkkVIeSUGYyZNReJALTK3bEBWWTlyMy/D5KhDfvYlVJccxJod+bx4gUUf2x3iGypabPi23oJbBjvGhAfhjZEheI6Pe4p8ps8LvtdZ8VZmA8Z9UYfVl5txprYdKy82Y8zBWkzLuo8bev/uXA9YMQ5XtmHCkXoMHajC9dkjoU2NQeHcKOj4uGDWCAwKUuBlPj+zyn/b0HvsppzHhWmgu0fSBLf0i6/u4cDkSLwdO0iyPkpGKYOlF/QoTo5CTJj3bitg3ZQ3ZwM3X2vFupeHdAhhasTt8jKUld+Btp1f+bTUoqK8Eg1GDu/Gh+LFyAHYcr1VquljhJHRHTxt4sXO22LoTby5v9bsIKF7q0ibTdrNbG0kZ9e8SV79SyZpFUxt+SRt/SFyVzr+8U2tmYTsriItFg8bqx8DHRufKaaYn5RjQtX8nCD99OAf49epszG29CI0bUB7cQUGvzkdo6SDHBOjQhAZokJp89M61OYZr+eMrnT9Yyy9gTBvCX/8pTvoXpgG9eRU1P15nGTh4fTIWjoHOa/swgxDAWL+9HvEuSz/I/dWQJ23BxGlJyWLdzz1OaO/rC9C9NUIUnTpf8oITJrzGmoPrIdmyESMcRHCzhLYOAVCdE/2ouLVcxOdVQ/oa3OGxcGRn3xSTeqMHcd4OrGXkvQ/LCOZnWf6OvjkhoEM319NbHw9X9NtN+UJWl5tvXGT6682456Jxb43fgSFy3lCM8MgOCys8wMlLxzi+QXh/IQw/P1n4ZLVd/SbCdybTrE8KRxn+dX2uqstgmeQrMAzLkII9hX8anygSoEliWGS1bf0eGT0VUqbbZiR24iXIoOx4sVwJPGxkh8lLEdQqLViW6EBZfzi8NiUYeL3Kn8QsGIIGG0cFp3X4VBlm+giBJfFzwxiXsq4UPzzVxEPXoH9QECL4cTKvzEV62zIqjbhHX5VnhARjGDePfkbWQyK6DcTeH9AFoMiZDEoQhaDImQxKEIWgyJkMShCFoMiZDEoQhaDImQxKEIWgxqA/wMl3n/DAPWy4QAAAABJRU5ErkJggg==)
physics-General
physics-
In the figure shown the power generated in y is maximum when
then R is
![](data:image/png;base64,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)
In the figure shown the power generated in y is maximum when
then R is
![](data:image/png;base64,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)
physics-General
physics-
A battery of internal resistance 4W is connected to the network of resistance as shown. In order that the maximum power can be delivered to the network, the value of R in W should be :–
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)
A battery of internal resistance 4W is connected to the network of resistance as shown. In order that the maximum power can be delivered to the network, the value of R in W should be :–
![](data:image/png;base64,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)
physics-General
chemistry-
Identify the functional groups in the following compound.
![](data:image/png;base64,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)
Identify the functional groups in the following compound.
![](data:image/png;base64,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)
chemistry-General
physics-
Three 60W, 120V light bulbs are connected across a 120 V power source. If resistance of each bulb does not change with current then find out total power delivered to the three bulbs.
![](data:image/png;base64,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)
Three 60W, 120V light bulbs are connected across a 120 V power source. If resistance of each bulb does not change with current then find out total power delivered to the three bulbs.
![](data:image/png;base64,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)
physics-General
maths-
For natural numbers m,n if
and
then (m,n) is
For natural numbers m,n if
and
then (m,n) is
maths-General
physics-
In the circuit shown the capacitor of capacitance C is initially uncharged. Now the capacitor is connected in the circuit as shown. The charge passed through an imaginary circular loop parallel to the plates (also circular) and having the area equal to half of the area of the plates, in one time constant is:
![](data:image/png;base64,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)
In the circuit shown the capacitor of capacitance C is initially uncharged. Now the capacitor is connected in the circuit as shown. The charge passed through an imaginary circular loop parallel to the plates (also circular) and having the area equal to half of the area of the plates, in one time constant is:
![](data:image/png;base64,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)
physics-General