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Two friends A and B are standing on opposite sides of a tree. The angle of elevation from friend A to the top of the tree is 30∘, and from friend B is 60∘. If the distance from friend A to the top of the tree is 90 90 meters, what is the distance between both friends (in meters)?
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Step 4: Distance between A and B
Since they are on opposite sides of the tree:
✅ Final Answer:
In a series circuit, two resistors, RR 1 and R 2 R 2 , are connected such that their total equivalent resistance is 6Ω. If 100J of heat is produced each second in resistor R1 (which has a resistance of 4Ω), what is the potential difference across resistor R2 ?
Recently, Chirag Chandrashekhar Shetty won Major Dhyan Chand Khel Ratna Award 2023 belongs to which sport?
The Major Dhyan Chand Khel Ratna Award 2023 winner Chirag Chandrashekhar Shetty belongs to the sport of:
✅ Badminton
Explanation:
Chirag Shetty is a well-known Indian badminton player, famous for his success in men’s doubles, especially with partner Satwiksairaj Rankireddy.
Correct answer: Badminton
If 25y2 = 292 – 242, then find the value of y.
The value of 292 – 242 can be calculated using the difference of squares formula: (29 + 24)(29 – 24) = 53 × 5 = 265. Then, we have 25y2 = 265, which gives y2 = 10.6, so y = √10.6 ≈ 3.
Which of the following graphs correctly represents the variation of inductive reactance XL with frequency f?
The inductive reactance XL is directly proportional to the frequency f, hence the graph should be a straight line passing through the origin.
In a half-wave rectifier, the output voltage is equal to the
A half-wave rectifier converts an AC input into a DC output, and the output voltage is typically the average value of the rectified waveform.
Simplify the boolean expression: X = A̅B + (A + B̅)C
To simplify the given boolean expression X = A̅B + (A + B̅)C, apply distribution: X = A̅B + AC + B̅C. Thus, the simplified form is X = A̅B + C.
The S-R latch is an example of:
The S–R latch is an example of a:
✅ One-bit memory element
Explanation (exam-oriented):
An S–R latch can store one bit of information (0 or 1)
It is a basic sequential circuit with memory
It does not require a clock (so it is not synchronous)
Why other options are incorrect:
Combinational circuit → has no memory
Synchronous sequential circuit → requires a clock
One-clock delay element → refers to clocked flip-flops
Correct answer: One-bit memory element
The magnetic field induction at a point 4 cm from a long current-carrying wire is 10-3 T. The magnetic field induction at a distance of 2 cm from the same current-carrying wire will be:
Concept:
Ampere's law:
It states that the magnetic field created by an electric current is proportional to the size of that electric current with a constant of proportionality equal to the permeability of free space.
If a sinusoidal voltage is applied to vertical deflection plates only, then we get ______ on the screen
If a sinusoidal voltage is applied only to the vertical (Y) deflection plates of a CRO, then the spot moves up and down with time, while there is no horizontal deflection.
So, the trace formed on the screen is a: ✅ Vertical line
Why:
Vertical plates → control vertical movement
No voltage on horizontal plates → no left–right movement
Continuous up–down motion → vertical line
Correct answer: Vertical line
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