Direction (Q. No. 16 and 17): Refer to the given passage and answer th...
Explanation
Given information:
- The balloon is moving upwards from the ground with a constant speed of 10 m/s.
- The balloon is at a distance of 5 m in front of a plane mirror.
- The length of the plane mirror is 2 m.
- A source S is placed symmetrically in front of the plane mirror.
- The height of the plane mirror above the ground is 15 m.
Calculating the time taken by the balloon to reach the mirror:
To find the time taken by the balloon to reach the mirror, we can use the formula:
Time = Distance / Speed
The distance between the balloon and the mirror is 5 m, and the speed of the balloon is 10 m/s. Therefore, the time taken by the balloon to reach the mirror is:
Time = 5 m / 10 m/s = 0.5 s
Calculating the distance traveled by the balloon in the given time:
Since the balloon is moving upwards with a constant speed, the distance traveled by the balloon in 0.5 s is:
Distance = Speed × Time = 10 m/s × 0.5 s = 5 m
Calculating the total height of the balloon above the ground:
The balloon is initially at a height of 2 m above the ground. As it moves upwards, it travels a distance of 5 m in 0.5 s. Therefore, the total height of the balloon above the ground is:
Total Height = Initial Height + Distance Traveled = 2 m + 5 m = 7 m
Calculating the height of the source above the ground:
The height of the plane mirror above the ground is given as 15 m. Since the source is placed symmetrically in front of the mirror, the height of the source above the ground is half the height of the mirror:
Height of Source = Height of Mirror / 2 = 15 m / 2 = 7.5 m
Conclusion:
The balloon reaches the plane mirror in 0.5 seconds. At that time, the total height of the balloon above the ground is 7 meters, and the height of the source above the ground is 7.5 meters.