Physics-
General
Easy
Question
A fishing boat using sonar detects a fish 190m below it. How much time elapsed between sending the ultrasonic signal which detected the fish and receiving the signals echo? (speed of sound in sea water = 1520m/s)
- 1 sec
- 2 sec
- 0.25 sec
- 0.5 sec
The correct answer is: 0.25 sec
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)
A thin metallic spherical shell carries a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in fig. All the three charges are positive. q1 q Q The force on the charge at the centre is
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)
physics-General
physics-
A simple pendulum of time period T is suspended above a large horizontal metal sheet with uniformly distributed positive charge. If the bob is given some negative charge, its time period of oscillation will be
A simple pendulum of time period T is suspended above a large horizontal metal sheet with uniformly distributed positive charge. If the bob is given some negative charge, its time period of oscillation will be
physics-General
physics-
A positive point charge Q is brought near an isolated metal cube. Which of the following is correct?
A positive point charge Q is brought near an isolated metal cube. Which of the following is correct?
physics-General
physics-
Three charges –q1 + q2 and –q3 are placed as shown in figure. The x-component of the force on –q1 is proportional to
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)
Three charges –q1 + q2 and –q3 are placed as shown in figure. The x-component of the force on –q1 is proportional to
![](data:image/png;base64,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)
physics-General
physics-
Three charges are placed at the vertices of an equilateral triangle of side 'a' as shown in fig. The force experienced by the charge placed at the vertex A in a direction normal to BC is :
![](data:image/png;base64,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)
Three charges are placed at the vertices of an equilateral triangle of side 'a' as shown in fig. The force experienced by the charge placed at the vertex A in a direction normal to BC is :
![](data:image/png;base64,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)
physics-General
physics-
In the basic CsCl crystal structure,
and
ions are arranged in a bcc configuration as shown in fig. The net electrostatic force exerted by the eight
ions on the
ion is :
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)
In the basic CsCl crystal structure,
and
ions are arranged in a bcc configuration as shown in fig. The net electrostatic force exerted by the eight
ions on the
ion is :
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)
physics-General