JEE Mains · Physics · STD 11 - 4.1 newtons laws of motion
Two billiard balls of equal mass \(30 \,{g}\) strike a rigid wall with same speed of \(108\, {kmph}\) (as shown) but at different angles. If the balls get reflected with the same speed then the ratio of the magnitude of impulses imparted to ball \('a'\) and ball \('b'\) by the wall along \('X'\) direction is :
- A \(1: 1\)
- B \(\sqrt{2}: 1\)
- C \(1: \sqrt{2}\)
- D \(2: 1\)
Answer & Solution
Correct Answer
(B) \(\sqrt{2}: 1\)
Step-by-step Solution
Detailed explanation
Ball (a) \(|\overrightarrow{\Delta p }|=2 mu = J _{1}\) Ball (b) \(|\overrightarrow{\Delta p }|=2 mu \cos 45^{\circ}= J _{2}\) \(\frac{J_{1}}{J_{2}}=\frac{1}{\cos 45^{\circ}}=\sqrt{2}\)
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 parallel plate capacitor with plate area \(A\) and plate separation \(d\) is filled with a dielectric material of dielectric constant \(K =4\). The thickness of the dielectric material is \(x\), where \(x < d\). Let \(C_1\) and \(C_2\) be the capacitance of the system for \(x =\frac{1}{3} d\) and \(x =\frac{2 d }{3}\), respectively. If \(C _1=2 \mu F\) the value of \(C _2\) is \(........... \mu F\)
JEE Mains 2023 Hard - Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as \(4.62 \mathrm{~s}, 4.632 \mathrm{~s}, 4.6 \mathrm{~s}\) and \(4.64 \mathrm{~s}\). The arithmetic mean of these reading in correct significant figure is _______.JEE Mains 2024 Hard
- A particle performs simple harmonic motion with a period of \(2\) second. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is \(\frac{1}{ a } s .\) The value of \('a'\) to the nearest integer is.........JEE Mains 2021 Medium
- The angular momentum of a planet of mass \(M\) moving around the sun in an elliptical orbit is \(\overrightarrow{ L }\). The magnitude of the areal velocity of the planet is:JEE Mains 2021 Medium
- An ac source is connected in given series \(LCR\) circuit. The rms potential difference across the capacitor of \(20 \mu \mathrm{F}\) is _______\(v\). [\(\mathrm{V}=50 \sqrt{2} \sin 100 \mathrm{t}\) volt]
JEE Mains 2024 Hard - A \(12.5\,eV\) electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:JEE Mains 2023 Hard
More PYQs from JEE Mains
- Let the hyperbola \(H : \frac{ x ^{2}}{ a ^{2}}-\frac{ y ^{2}}{ b ^{2}}=1\) pass through the point \((2 \sqrt{2},-2 \sqrt{2})\). A parabola is drawn whose focus is same as the focus of \(H\) with positive abscissa and the directrix of the parabola passes through the other focus of \(H\). If the length of the latus rectum of the parabola is e times the length of the latus rectum of \(H\), where \(e\) is the eccentricity of \(H\), then which of the following points lies on the parabola?JEE Mains 2022 Hard
- The mass number of nucleus having radius equal to half of the radius of nucleus with mass number \(192\) is _______.JEE Mains 2024 Hard
- Given below are two statements; one is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A:\) Electromagnets are made of soft iron. Reason \(R:\) Soft iron has high permeability and low retentivity. In the light of above, statements, choose the most appropriate answer from the options given below.JEE Mains 2023 Medium
- For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability that the candidate can solve any problem is \(\frac{4}{5}\) , then the probability that he is unable to solve less than two problems isJEE Mains 2019 Hard
- A bird is sitting on the top of a vertical pole \(20\, m\) high and its elevation from a point \(O\) on the ground is \(45^o \) . It flies off horizontally straight away from the point \(O\). After one second, the elevation of the bird from \(O\) is reduced to \(30^o \) . Then the speed (in \(m/s\)) of the bird isJEE Mains 2014 Hard
- A parallel beam of light is allowed to fall on a transparent spherical globe of diameter \(30 \,cm\) and refractive index \(1.5\). The distance from the centre of the globe at which the beam of light can converge is________ \(mm\)JEE Mains 2022 Hard