JEE Mains · Physics · STD 12 - 13. Nuclei
7.9 MeV \( \alpha \)-particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) __________m.
\(\left[\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 Nm ^2 / C ^2\right.\) and electron charge \(\left.=1.6 \times 10^{-19} C \right]\)
- A \( 5.76\times10^{-14} \)
- B \( 1.44\times10^{-13} \)
- C \( 2.88\times10^{-14} \)
- D \( 1.69\times10^{-12} \)
Answer & Solution
Correct Answer
(A) \( 5.76\times10^{-14} \)
Step-by-step Solution
Detailed explanation
By mechanical energy conservation \(( Me )_{ i }=( Me )_{ f }\) \(P E_i+K E_i=P E_f+K E_f\) \(0+7.9 \times 10^6 \times 1.6 \times 10^{-19}=\frac{ k (2 e )( Ze )}{ r }+0\)…
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 conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the page. The bar starts to move from the vertex at time \(t=0\) with a constant velocity. If the induced EMF is \(\mathrm{E} \propto \mathrm{t}^{\mathrm{n}}\), then value of n is ________.JEE Mains 2025 Medium - Given below are two statements: Statement \(I :\) In a diatomic molecule, the rotational energy at a given temperature obeys Maxwell's distribution. Statement \(II :\) In a diatomic molecule, the rotational energy at a given temperature equals the translational kinetic energy for each molecule. In the light of the above statements, choose the correct answer from the options given below:JEE Mains 2021 Medium
-
An infinite wire has a circular bend of radius a, and carrying a current I as shown in figure. The magnitude of magnetic field at the origin \(O\) of the arc is given by :JEE Mains 2025 Easy - A body cools from \(60^{\circ} C\) to \(40^{\circ} C\) in \(6\) minutes. If, temperature of surroundings is \(10^{\circ} C\). Then, after the next 6 minutes, its temperature will be \(.........{ }^{\circ} C\).JEE Mains 2023 Medium
- A long, straight wire of radius \(a\) carries a current distributed uniformly over its cross-section. The ratio of the magnetic fields due to the wire at distance \(\frac{a}{3}\) and \(2 a,\) respectively from the axis of the wire isJEE Mains 2020 Hard
- A polyatomic ideal gas has \(24\) vibrational modes. What is the value of \(\gamma\) ?JEE Mains 2021 Hard
More PYQs from JEE Mains
- Two guns \(A\) and \(B\) can fire bullets at speed \(1\, km/s\) and \(2\, km/s\) respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground isJEE Mains 2019 Medium
- The ordinates of the points \(P\) and \(Q\) on the parabola with focus \((3,0)\) and directrix \(x =-3\) are in the ratio \(3: 1\). If \(R (\alpha, \beta)\) is the point of intersection of the tangents to the parabola at \(P\) and \(Q\), then \(\frac{\beta^2}{\alpha}\) is equal to \(.............\).JEE Mains 2023 Hard
- Let \([t]\) denote the greatest integer \(\leq t\) and \(\mathop {\lim }\limits_{x \to 0} x\left[\frac{4}{x}\right]=A .\) Then the function. \(\mathrm{f}(\mathrm{x})=\left[\mathrm{x}^{2}\right] \sin (\pi \mathrm{x})\) is discontinuous, when \(\mathrm{x}\) is equal toJEE Mains 2020 Hard
- If the solution curve \(f(x, y)=0\) of the differential equation \(\left(1+\log _e x\right) \frac{d x}{d y}-x \log _e x=e^y, x > 0\), passes through the points \((1,0)\) and \((\alpha, 2)\) then \(\alpha^\alpha\) is equal toJEE Mains 2023 Hard
- A parallel plate capacitor with plate area \(A\) and plate separation \(d =2 \,m\) has a capacitance of \(4 \,\mu F\). The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant \(K =3\) (as shown in figure) will be .........\( \mu \,F\)
JEE Mains 2022 Hard - Two solids \(A\) and \(B\) of mass \(1\, kg\) and \(2\, kg\) respectively are moving with equal linear momentum. The ratio of their kinetic energies \((K.E.)_{ A }:( K.E. )_{ B }\) will be \(\frac{ A }{1},\) so the value of \(A\) will be ..... .JEE Mains 2021 Medium