JEE Mains · Physics · STD 11 - Motion in straight line
- JEE Mains 2021
- Hard
- MCQ
Water droplets are coming from an open tap at particular rate. The spacing between a droplet observed at \(4^{{th}}\;second\) after its fall to the next droplet is \(34.3 \,{m}\). At what rate the droplets are coming from the tap ? (Take \(g=9.8\, {m} / {s}^{2}\))
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) \(1 \,drop/ second\)
Step-by-step Solution
Detailed explanation
In 4 sec. \(1^{\text {st }}\) drop will travel \(\Rightarrow \frac{1}{2} \times(9.8) \times(4)^{2}=78.4 m\)
\(\therefore 2^{\text {nd }}\) drop would have travelled \(\Rightarrow 78.4-34.3=44.1 m\).
Time for \(2^{\text {nd }}\) drop
\(\frac{1}{2}(9.8) t ^{2}=44.1\)
\(t=3 sec\)
\(\therefore\) each drop have time gap of \(1 sec\)
\(\therefore 1\) drop per sec
More questions from Physics
- Given below are two statements: One is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A\) : Product of Pressure \((P)\) and time \((t)\) has the same dimension as that of coefficient of viscosity. Reason \(R\) : Coefficient of viscosity \(=\frac{\text { Force }}{\text { Velocity gradient }}\) Question : Choose the correct answer from the options given belowJEE Mains 2022 Medium
- Match List \(I\) with List \(II\)
Choose the correct answer from the options given belowList \(I\) List \(II\) \(A\) Spring constant \(I\) \((T ^{-1})\) \(B\) Angular speed \(II\) \((MT ^{-2})\) \(C\) Angular momentum \(III\) \((ML ^2)\) \(D\) Moment of Inertia \(IV\) \((ML ^2 T ^{-1})\) JEE Mains 2023 Medium - A particle of mass \(M\) originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation \(F=F_{0}\left(1-\left(\frac{t-T}{T}\right)^{2}\right)\) Where \(F_{0}\) and \(T\) are constants. The force acts only for the time internal \(2 T\). The velocity \(v\) of the particle after time \(2 {T}\) is -JEE Mains 2021 Hard
- Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is \(1: 4,\) the ratio of their diameters isJEE Mains 2020 Medium
- A particle is moving with constant acceleration \('a'.\) Following graph shows \(v^{2}\) versus \(x\) (displacement) plot. The acceleration of the particle is \(......{m} / {s}^{2}\)
JEE Mains 2021 Hard - In a photoelectric effect experiment the threshold wavelength of incident light is \(380\, nm\), If the wavelength of the incident light is \(260\,nm\), the maximum kinetic energy of emitted electrons will be: .............. \(eV\) Given \(E\) (in \(eV\)) \( = \frac{{1237}}{{\lambda \left( {in\,nm} \right)}}\)JEE Mains 2019 Medium
More PYQs from JEE Mains
- On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius \(R\) and making a circular contact of radius \(r\) with the bottom of the vessel. If \(r < < R\), and the surface tension of water is \(T\), value of \(r\) just before bubbles detach is (density of water is \(\rho_{w}\))
JEE Mains 2014 Hard - A copper block of mass \(5.0\, kg\) is heated to a temperature of \(500^{\circ} C\) and is placed on a large ice block. What is the maximum amount of ice (ઇન \(kg\)) that can melt? [Specific heat of copper: \(0.39\, Jg ^{-1 \circ} C ^{-1}\) and latent heat of fusion of water : \(335 \,J g ^{-1}\) ]JEE Mains 2022 Medium
- Match List\(-I\) with List\(-II.\)
Choose the correct answer from the options given belowList\(-I\) List\(-II\) \((a)\) Capacitance, \(C\) \((i)\) \({M}^{1} {L}^{1} {T}^{-3} {A}^{-1}\) \((b)\) Permittivity of free space, \(\varepsilon_{0}\) \((ii)\) \({M}^{-1} {L}^{-3} {T}^{4} {A}^{2}\) \((c)\) Permeability of free space, \(\mu_{0}\) \((iii)\) \({M}^{-1} L^{-2} T^{4} A^{2}\) \((d)\) Electric field, \(E\) \((iv)\) \({M}^{1} {L}^{1} {T}^{-2} {A}^{-2}\) JEE Mains 2021 Medium - Match List-I with List-II.
List-I List-II A. Meter (L) I. \(\sqrt{\dfrac{hc}{G}}\) B. Second (S) II. \(\sqrt{\dfrac{Gh}{c^5}}\) C. Kilogram (M) III. \(\sqrt{\dfrac{K^2L^2c^3}{Gh}}\) D. Kelvin (K) IV. \(\sqrt{\dfrac{Gh}{c^3}}\)
where \(h\) (Planck's constant), \(G\) (gravitational constant) and \(c\) (speed of light in vacuum) as fundamental units.
Choose the correct answer from the options given below :JEE Mains 2026 Hard - Name the logic gate equivalent to the diagram attached
JEE Mains 2023 Medium - A monochromatic light of wavelength \(6000\)A is incident on the single slit of width \(0.01 \mathrm{~mm}\). If the diffraction pattern is formed at the focus of the convex lens of focal length \(20 \mathrm{~cm}\), the linear width of the central maximum is _______.JEE Mains 2024 Hard