JEE Mains · Physics · STD 11 - 2. motion in straight line
A body moves on a frictionless plane starting from rest. If \(\mathrm{S}_{\mathrm{n}}\) is distance moved between \(\mathrm{t}=\mathrm{n}-1\) and \(\mathrm{t}\) \(=\mathrm{n}\) and \(\mathrm{S}_{\mathrm{n}-1}\) is distance moved between \(\mathrm{t}=\mathrm{n}-2\) and \(t=n-1\), then the ratio \(\frac{S_{n-1}}{S_n}\) is \(\left(1-\frac{2}{x}\right)\) for \(n\) \(=10\). The value of \(x\) is _______.
- A \(18\)
- B \(19\)
- C \(20\)
- D \(21\)
Answer & Solution
Correct Answer
(B) \(19\)
Step-by-step Solution
Detailed explanation
\(\mathrm{S}_{\mathrm{n}}=\frac{1}{2} \mathrm{a}(2 \mathrm{n}-1)=\frac{19 \mathrm{a}}{2}\) \(\mathrm{~S}_{\mathrm{n}-1}=\frac{1}{2} \mathrm{a}(2 \mathrm{n}-3)=\frac{17 \mathrm{a}}{2}\)…
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
- A coil of inductance \(1\,H\) and resistance \(100\,\Omega\) is connected to a battery of \(6\,V\). Determine approximately : \((a)\) The time elapsed before the current acquires half of its steady - state value \((b)\) The energy stored in the magnetic field associated with the coil at an instant \(15\,ms\) after the circuit is switched on. (Given In \(2=0.693\), \(\left.e ^{-3 / 2}=0.25\right)\)JEE Mains 2022 Hard
- Match the LIST-I with LIST-II
LIST-I LIST-II (A) Boltzmann constant I. \(\mathrm{ML}^2 \mathrm{~T}^{-1}\) (B) Coefficient of viscosity II. \(\mathrm{MLT}^{-3} \mathrm{~K}^{-1}\) (C) Planck's constant III. \(\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\) (D) Thermal conductivity IV. \(\mathrm{ML}^{-1} \mathrm{~T}^{-1}\)
Choose the correct answer from the options given below :JEE Mains 2025 Medium - Under isothermal condition, the pressure of a gas is given by \(P = aV ^{-3}\), where \(a\) is a constant and \(V\) is the volume of the gas. The bulk modulus at constant temperature is equal to \(..........\,P\)JEE Mains 2023 Hard
- An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density \(\sigma_{\mathrm{o}}\). Choose the correct option from the following.
JEE Mains 2025 Medium - Consider the equation \(H = \dfrac{x^p \epsilon^q E^r}{t^s}\), where \(H=\) magnetic field; \(E=\) electric field, \(\epsilon=\) permittivity, \(x=\) distance, \(t=\) time. The values of \(p, q, r\) and \(s\) respectively are:JEE Mains 2026 Hard
- A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim is \(8 \mathrm{~m} / \mathrm{s}\). The speed of the particle on the rim of the wheel at the same level as the centre of wheel, will be :JEE Mains 2025 Medium
More PYQs from JEE Mains
- Let the hyperbola \(H : \frac{ x ^{2}}{ a ^{2}}- y ^{2}=1\) and the ellipse \(E: 3 x^{2}+4 y^{2}=12\) be such that the length of latus rectum of \(H\) is equal to the length of latus rectum of \(E\). If \(e_{ H }\) and \(e_{ E }\) are the eccentricities of \(H\) and \(E\) respectively, then the value of \(12\left( e _{ H }^{2}+ e _{ E }^{2}\right)\) is equal toJEE Mains 2022 Hard
- Let \(A=\{1,2,3,4\}\) and \(R\) be a relation on the set \(A \times A\) defined by \(R=\{((a, b),(c, d)): 2 a+3 b=4 c+5 d\}\). Then the number of elements in \(R\) is:JEE Mains 2023 Hard
- Let \(\Delta\) be the area of the region \(\left\{( x , y ) \in R ^2: x ^2+ y ^2 \leq 21, y ^2 \leq 4 x , x \geq 1\right\}\). Then \(\frac{1}{2}\left(\Delta-21 \sin ^{-1} \frac{2}{\sqrt{7}}\right)\) is equal toJEE Mains 2023 Hard
- From the point \((-1, -1)\), two rays are sent making angles of \(45°\) with the line \(x + y = 0\). These rays get reflected from the mirror \(x + 2y = 1\). If the equations of the reflected rays are \(ax + by = 9\) and \(cx + dy = 7\), \(a, b, c, d \in \mathbf{Z}\), then the value of \(ad + bc\) is _______.JEE Mains 2026 Hard
- Let \(a_{1}, a_{2}, a_{3}, \ldots\) be an \(A.P.\) If \(\sum_{r=1}^{\infty} \frac{a_{r}}{2^{r}}=4\), then \(4 a_{2}\) is equal toJEE Mains 2022 Hard
- The mass density of a planet of radius \(R\) varies with the distance \(r\) from its centre as \(\rho( r )=\rho_{0}\left(1-\frac{ r ^{2}}{ R ^{2}}\right) .\) Then the gravitational field is maximum atJEE Mains 2020 Hard