MHT CET · Physics · Laws of Motion
Three bodies P, Q and R have masses ' \(\mathrm{m}\) ' \(\mathrm{kg}\), ' \(2 \mathrm{~m}\) ' \(\mathrm{kg}\) and ' \(3 \mathrm{~m}\) ' \(\mathrm{kg}\) respectively. If all the bodies have equal kinetic energy, then greater momentum will be for body/bodies.
- A Q
- B R
- C P and Q
- D P
Answer & Solution
Correct Answer
(B) R
Step-by-step Solution
Detailed explanation
Kinetic energy \(\mathrm{k}=\frac{\mathrm{p}^2}{2 \mathrm{~m}}\) where \(\mathrm{p}\) is the momentum
\(\therefore \mathrm{p}^2=2 \mathrm{mk} \text { or } \mathrm{p}=\sqrt{2 \mathrm{mk}}\)
\(\therefore \mathrm{p} \propto \sqrt{\mathrm{m}}\)
Hence body having greater mass will have greater momentum.
\(\therefore \mathrm{p}^2=2 \mathrm{mk} \text { or } \mathrm{p}=\sqrt{2 \mathrm{mk}}\)
\(\therefore \mathrm{p} \propto \sqrt{\mathrm{m}}\)
Hence body having greater mass will have greater momentum.
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
- If two inputs of a NAND gate are shorted, the resulting gate isMHT CET 2023 Easy
- The tourmaline crystalMHT CET 2011 Easy
- A capacitor \(50 \mu\) Fis connected to a.c. source \(e=220 \sin (50 t)(e\) in volt ,\(t\) in second). The value of peak current isMHT CET 2022 Easy
- Which one of the following represents correctly the variation of volume (V) of an ideal gas with temperature \((\mathrm{T})\) under constant pressure conditions?
MHT CET 2023 Easy - The time period a satellite of earth is 5 hours. If the separation between the earth and the satellite in increased to four times the previous value, the new time period of the satellite will beMHT CET 2021 Easy
- In Young's double slit experiment, the distance between the slits is \(3 \mathrm{~mm}\) and the slits are \(2 \mathrm{~m}\) away from the screen. Two interference patterns can be obtained on
the screen due to light of wavelength \(480 \mathrm{~nm}\) and \(600 \mathrm{~nm}\) respectively. The
separation on the screen between the \(5^{\text {th }}\) order bright fringes on the two
interference patterns isMHT CET 2020 Easy
More PYQs from MHT CET
- Identify the correct relation between depression in freezing point and freezing point of pure solvent?MHT CET 2020 Easy
- What is the bond order of \(\mathrm{O}_2\) molecule?MHT CET 2022 Easy
- The magnetic potential energy stored in certain inductor is \(64 \times 10^{-3} \mathrm{~J}\), when the current in the inductor is 80 mA . This inductor is of inductanceMHT CET 2024 Easy
- If \(\varepsilon_0\) and \(\varepsilon\) represent the permittivity of free space and absolute permittivity of a medium then the relative permittivity of the medium isMHT CET 2022 Easy
- A particle performing U.C.M. of radius \(\frac{\pi}{2} \mathrm{~m}\) makes ' \(\mathrm{x}\) ' revolutions in time ' \(\mathrm{t}^{\prime}\). Its tangential velocity isMHT CET 2020 Hard
- A solution of non volatile solute has boiling point elevation 0.5 K . Calculate molality of solution \(\left[\mathrm{K}_{\mathrm{b}}=2.40 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right]\).MHT CET 2024 Easy