JEE Mains · Physics · STD 11 - 2. motion in straight line
The velocity of the bullet becomes one third after it penetrates \(4\,cm\) in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at \((4+x)\,cm\) inside the block. The value of \(x\) is\(.....\)
- A \(2\)
- B \(1\)
- C \(0.5\)
- D \(1.5\)
Answer & Solution
Correct Answer
(C) \(0.5\)
Step-by-step Solution
Detailed explanation
\(\left(\frac{ V }{3}\right)^{2} = V ^{2}-2 a (4) \Rightarrow a =\frac{8 V ^{2}}{9(8)}=\frac{ V ^{2}}{9}\) \(0= V ^{2}-2 a (4+ x )\) \(V ^{2} =2\left(\frac{ V ^{2}}{9}\right)(4+ x )\) \(4.5 =4+ x\) \(x =0.5\)
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 \(R , X _{ L }\). and \(X _{ C }\) represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:JEE Mains 2023 Easy
- The electric field intensity produced by the radiation coming from a \(100\, W\) bulb at a distance of \(3\, m\) is \(E\). The electric field intensity produced by the radiation coming from \(60\, W\) at the same distance is \(\sqrt{\frac{x}{5}} E\). Where the value of \(x=......... .\)JEE Mains 2021 Hard
- A uniformly thick wheel with moment of inertia \(I\) and radius \(R\) is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses \(\mathrm{m}_{1}\) and \(\mathrm{m}_{2}\left(\mathrm{m}_{1}>\mathrm{m}_{2}\right)\) are attached to the ends of the string. The system is released from rest. The angular speed of the wheel when \(\mathrm{m}_{1}\) descents by a distance \(h\) is
JEE Mains 2020 Hard - An inductor of \(0.5 \,mH\), a capacitor of \(200 \,\mu F\) and a resistor of \(2 \,\Omega\) are connected in series with a \(220 \,V\) ac source. If the current is in phase with the emf, the frequency of ac source will be ................ \(\times 10^{2} \,Hz\)JEE Mains 2022 Hard
- An object is kept at rest at a distance of 3 R above the earth's surface where R is earth's radius. The minimum speed with which it must be projected so that it does not return to earth is :
(Assume \(\mathrm{M}=\) mass of earth, \(\mathrm{G}=\) Universal gravitational constant)JEE Mains 2025 Easy - For the two cells having same EMF E and internal resistance r, the current passing through the external resistor 6 \(\Omega\) is same when both the cells are connected either in parallel or in series. The value of internal resistance r is ___________ \(\Omega\).JEE Mains 2026 Hard
More PYQs from JEE Mains
- The motion of a simple pendulum excuting \(S.H.M\). is represented by following equation. \(Y = A \sin (\pi t +\phi)\), where time is measured in \(second\). The length of pendulum is .............\(cm\)JEE Mains 2022 Medium
- Let the sum of the coefficients of the first three terms in the expansion of \(\left(x-\frac{3}{x^2}\right)^n, x \neq 0, n \in N\), be \(376\). Then the coefficient of \(x^4\) is \(......\)JEE Mains 2023 Hard
- The sum of all the four-digit numbers that can be formed using all the digits \(2,1,2,3\) is equal to \(.......\).JEE Mains 2023 Hard
- The radii of two planets \(A\) and \(B\) are \(R\) and \(4 R\) and their densities are \(\rho\) and \(\rho / 3\) respectively. The ratio of acceleration due to gravity at their surfaces \(\left(g_A: g_B\right)\) will beJEE Mains 2023 Medium
- Let \(\mathrm{P}(\alpha, \beta, \gamma)\) be the image of the point \(\mathrm{Q}(3,-3,1)\) in the line \(\frac{x-0}{1}=\frac{y-3}{1}=\frac{z-1}{-1}\) and \(R\) be the point \((2,5,-1)\). If the area of the triangle \(\mathrm{PQR}\) is \(\lambda\) and \(\lambda^2=14 \mathrm{~K}\), then \(\mathrm{K}\) is equal to :JEE Mains 2024 Hard
- In the given circuit, \(C _1=2\,\mu F , C _2=0.2\,\mu F\), \(C _3=2\,\mu F , C _4=4\,\mu F,\) \(C _5=2\,\mu F , C _6=2\,\mu F\), the charge stored on capacitor \(C _4\) is \(.....\mu C\).
JEE Mains 2023 Medium