AP EAMCET · PHYSICS · Mathematics in Physics
If \(\alpha, \beta\) and \(\gamma\) are the angles made by a vector with \(\mathrm{x}, \mathrm{y}\) and z axes respectively, then \(\sin ^2 \alpha+\sin ^2 \beta=\)
- A \(\sin ^2 \gamma\)
- B \(\cos ^2 \gamma\)
- C \(1+\cos ^2 \gamma\)
- D \(1+\sin ^2 \gamma\)
Answer & Solution
Correct Answer
(C) \(1+\cos ^2 \gamma\)
Step-by-step Solution
Detailed explanation
\( \cos^2 \alpha + \cos^2 \beta + \cos^2 \gamma = 1 \) \( (1 - \sin^2 \alpha) + (1 - \sin^2 \beta) + \cos^2 \gamma = 1 \) \( 2 - (\sin^2 \alpha + \sin^2 \beta) + \cos^2 \gamma = 1 \) \( \sin^2 \alpha + \sin^2 \beta = 1 + \cos^2 \gamma \)
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
- A body falls freely from a height of \(100 \mathrm{~m}\) on to the ground and rebounds to a maximum height of \(36 \mathrm{~m}\) after collision. The coefficient of restitution between ground and the body isAP EAMCET 2023 Easy
- If \(200 \mathrm{MeV}\) of energy is released in the fission of one nucleus of \({ }_{92}^{236} \mathrm{U}\), the number of nuclei that must undergo fission to release an energy of \(1000 \mathrm{~J}\) isAP EAMCET 2011 Medium
- In a hydraulic lift, if the radius of the smaller piston is 5 cm, and the radius of the larger piston is 50 cm, then the weight that the larger piston can support when a force of 250 N is applied to the smaller piston isAP EAMCET 2025 Easy
- If the length of an antenna is \(150 \mathrm{~cm}\), the transmission frequency is ____ \(\mathrm{MHz}\). (Speed of light in vacuum \(=3 \times 10^8 \mathrm{~ms}^{-1}\))AP EAMCET 2017 Easy
- The volume of a liquid is proportional to......, given its density \(\rho\), viscosity \(\eta\) and \(t\) the time of flow through a capillary tube of length \(L\) and radius \(R\), with a pressure difference \(p\) across its endsAP EAMCET 2021 Easy
- A particle is executing simple harmonic motion with a time period of 3 s . At a position where the displacement of the particle is \(60 \%\) of its amplitude, the ratio of the kinetic and potential energies of the particle isAP EAMCET 2024 Easy
More PYQs from AP EAMCET
- Which of the following statements is true? ) of has a same number of moles of solute as of .
) of has a same number of moles as of .
) of has a same number of moles as of .
) of has a same number of moles as of .AP EAMCET 2020 Medium - Nucleophilic addition reaction will be most favoured in which among the following compounds?AP EAMCET 2021 Easy
- \(40 \mathrm{~mL}\) of \(x \mathrm{M} \mathrm{KMnO}_4\) solution is required to react completely with \(200 \mathrm{~mL}\) of \(0.02 \mathrm{M}\) oxalic acid solution in acidic medium. The value of \(x\) isAP EAMCET 2016 Medium
- Two identical thin bar magnets each of length \(l\) and pole strength \(m\) are placed at right angles to each other with north-pole of one touching south-pole of the other, then the magnetic moment of the system isAP EAMCET 2022 Medium
- Which among the following is a physical property of molecular solids?AP EAMCET 2020 Easy
- Which of the following will have maximum dipole moment?AP EAMCET 2021 Easy