AP EAMCET · PHYSICS · Motion In Two Dimensions
If bullets are fired in all possible directions from same point with equal velocity of \(10 \mathrm{~m} \mathrm{~s}^{-1}\) and with an angle of projection \(45^{\circ}\), then the area covered by the bullets on the ground is nearly
(Acceleration due to gravity \(10 \mathrm{~m} \mathrm{~s}^{-2}\) )
- A \(628 \mathrm{~m}^2\)
- B \(314 \mathrm{~m}^2\)
- C \(157 \mathrm{~m}^2\)
- D \(79 \mathrm{~m}^2\)
Answer & Solution
Correct Answer
(B) \(314 \mathrm{~m}^2\)
Step-by-step Solution
Detailed explanation
\(R = \frac{v^2 \sin(2\theta)}{g}\) \(R = \frac{(10)^2 \sin(2 \times 45^\circ)}{10} = \frac{100 \sin(90^\circ)}{10} = \frac{100 \times 1}{10} = 10 \mathrm{~m}\) \(A = \pi R^2\) \(A = \pi (10)^2 = 100\pi \approx 100 \times 3.14 = 314 \mathrm{~m}^2\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from PHYSICS
- Diameter of the objective lens of a telescope is \(250 \mathrm{~cm}\). For light of wavelength \(600 \mathrm{~nm}\), coming from a distant object, the limit of resolution of the telescope is close toAP EAMCET 2023 Easy
- A 4 kg stone attached at the end of a steel wire is being whirled at a constant speed \(12 \mathrm{~ms}^{-1}\) in a horizontal circle. The wire is 4 m long with a diameter 2.0 mm and young's modules of the steel is \(2 \times 10^{11} \mathrm{Nm}^{-2}\). The strain in the wire is.AP EAMCET 2024 Medium
- A stone falls freely such that the distance covered by it in the last second of its motion is equal to the distance covered by it in the first \(5 \mathrm{~s}\). It is in air for....... \(\mathrm{s}\).AP EAMCET 2020 Medium
- A pendulum is oscillating at a frequency of \(8 \mathrm{~Hz}\). Suddenly the string of the pendulum is clamped at its midpoint then the new frequency of oscillations isAP EAMCET 2022 Easy
- Two identical condensers are joined as shown in the figure. When the switch \(\mathrm{S}\) is closed, the total energy of the system is \(\mathrm{U}_1\). If the switch is opened and both the condensers are filled with a dielectric of dielectric constant 3 , then the energy of the system becomes \(\mathrm{U}_2\). The value of \(\frac{\mathrm{U}_1}{\mathrm{U}_2}\) is
AP EAMCET 2018 Medium - A carrier wave of peak voltage \(15 \mathrm{~V}\) is used to transmit a message signal. If the modulation index is \(60 \%\), then the peak voltage of the modulating signal isAP EAMCET 2023 Easy
More PYQs from AP EAMCET
- A magnetic field intensity at the centre of a circular wire of radius \(0.1 \mathrm{~m}\) carrying a current \(0.2 \mathrm{~A}\) isAP EAMCET 2023 Easy
- Let be such that and
Then the value of isAP EAMCET 2021 Medium - If each element, of a determinant of third order with value \(A\), is multiplied by 3 , then the value of newly formed determinant isAP EAMCET 2021 Easy
- If \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-4 x+5=0\), then the quadratic equation whose roots are \(\alpha^2+\beta\) and \(\alpha+\beta^2\) isAP EAMCET 2018 Medium
- The three dimensional structure of \(\mathrm{CH}_4\) is given below. The bonds are labelled as W, X, Y and \(\mathrm{Z}\). What are the bonds lying in the plane (A), projecting out of the plane away from the observer (B) and projecting out of the plane towards the observer (C)?
AP EAMCET 2018 Medium - If \(\tanh ^{-1} x=a \log \left(\frac{1+x}{1-x}\right),|x| < 1\) then \(a\) is equal toAP EAMCET 2010 Easy