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Two persons simutaneously aim and fire their guns at a bird sitting on a tree. The first person fires his shot with a speed of 100m//s at an angle of projection of 30^(@) . The second person is ahead of the first by a distance of 50m and fire his shot with a speed of 80m//s . how must he aim his gun so that both the shots hit the bird simultaneously. Calculate the distance of the foot of the frre from two persons and the height of the tree. With what velocities and when do the two shorts hit the bird.

(Investment to be made for Redemption of Debentures). X Ltd. Had issued on 1st April, 2016, 20,000, 9% Debentures of Rs. 100 each redeemable by draw of lots as under : (i) During the ending on 31st March, 2018 - 15% (ii) During the ending on 31st March, 2019 - 25% (iii) During the ending on 31st March, 2020 - 15% (iv) During the ending on 31st March, 2021 - 21% (i) During the ending on 31st March, 2022 - 20% What is the minimum investment or deposit that should be made by X Ltd. as per the Conpanies Act, 2013 before redemption of debentures and When ?

The US athlete Florence Griffith oyner won the 100 m spring gold medal at Seol Olympic 1988 setting a new Olympic record of 10.54s. Assume that she achieved her maximum speed in a very short time and then ran the race with that speed till she crossed the line. Take her mas ot be 50 kg. a. Calculate the kinetic energy of Griffith Joyner at her full speed. b. Assuming tht the track the wind etc. offered an average resistance of one tenth of her weight, cfalculate the work done by the resistsnce durng the run. c. What power Griffith Joyner had to exet ot maintain uniform speed?

Given below are six sentences of a passage. The first and sixth sentences are given in the beginning as SI and S6. The middle four-sentence in each have been jumbled up and labelled as P, Q, R and S. You are required to find the proper sequence of the four sentences. S1: The climate question presents a leapfrog era for India's development paradigm. S6: This presents a good template for India, building on its existing plans to introduce electric mobility through buses first, and cars by 2030. P: It is aimed at achieving a shift to sustainable fuels, getting cities to commit to eco-friendly mobility and delivering more walkable communities, all of which will improve the quality of urban life. Q : At the Bonn conference, a new Transport Decarbonisation Alliance has been declared. R: This has to be resolutely pursued, breaking down the barriers to wider adoption of rooftop solar energy at every level and implementing net metering systems for all categories of consumers. S : Already, the country has chalked out an ambitious policy on renewable energy, hoping to generate 175 gigawatts of power from green sources by 2022. The correct sequence should be

It is possible to take a high quality photograph of a very fast moving object by illuminating the object for quite a small fraction of a second. You may have come across photographs of a bullet penetrating a banana or an apple in many text books or magazines. This is called 'stop action' photography because the fast moving object travels a very short distance during the time of illumination. Harold Edgerton, the inventor of stroboscope, was a pioneer of this kind of photography. A normal photographic plate works properly if it receives an energy of 4J during the exposure. To release this energy in a very small fraction of time, huge amount of power is required. Such huge power can not be generated directly from a battery because of its high internal resistance. To produce such power a capacitor is used. The time in which a capacitor discharges can be very short. Although, theoretically it would take a long time for a capacitor to discharge completely, it discharges almost completely in about 10 time constant. Consider the following situation A capacitor of 200muF storing 4J energy is made to discharge through a flash light in 2ms. This setup is used to take the picture of a bullet moving at a speed of 100m//s Assume that the flash light acts as a resistor and there is no other resistance in the circuit. What is the order of energy delivered to the flash light in 0.2 ms(approx).

It is possible to take a high quality photograph of a very fast moving object by illuminating the object for quite a small fraction of a second. You may have come across photographs of a bullet penetrating a banana or an apple in many text books or magazines. This is called 'stop action' photography because the fast moving object travels a very short distance during the time of illumination. Harold Edgerton, the inventor of stroboscope, was a pioneer of this kind of photography. A normal photographic plate works properly if it receives an energy of 4J during the exposure. To release this energy in a very small fraction of time, huge amount of power is required. Such huge power can not be generated directly from a battery because of its high internal resistance. To produce such power a capacitor is used. The time in which a capacitor discharges can be very short. Although, theoretically it would take a long time for a capacitor to discharge completely, it discharges almost completely in about 10 time constant. Consider the following situation A capacitor of 200muF storing 4J energy is made to discharge through a flash light in 2ms. This setup is used to take the picture of a bullet moving at a speed of 100m//s Assume that the flash light acts as a resistor and there is no other resistance in the circuit. What is the initial current in the circuit

Wellness Co. Ltd. has issued 20,000, 9% Debentures of ₹ 100 each at a premium of 10% on 1^(st) April, 2018 redeemable as follows: 31^(st) March, 2021 – 10,000 debentures 31^(st) March, 2022 – 4,000 debentures 31^(st) March, 2023 – balance debentures. It transferred to Debentures Redemption Reserve the required amount as applicable rules of the Companies Act and Rules, 2014 on due date. How much amount will be transferred to General Reserve on 31st March, 2021 .