CBSE Class 11 Science Physics · Ch 4: Laws of Motion
CBSE Class 11 Science Physics · Ch 4: Laws of Motion is an online chapter test in the CBSE Class 11 Science pattern, covering Laws of Motion. Attempt it on SeatBeat with a timer like the real exam, then see a detailed solution for every question and your score and weak-topic analysis.
Topics in this test
| Topic | Questions |
|---|---|
| Laws of Motion | 30 |
Difficulty: 7 medium · 23 hard
Laws of Motion MCQ questions with answers
The first 3 of 30 questions. Unlock the series for the rest, each with a solution.
Q1. Three concurrent coplanar forces $P$, $Q$ and $R$ keep a particle in equilibrium. The angle between $Q$ and $R$ is $90°$, and the angles between $R$ \& $P$ and between $P$ \& $Q$ are each $135°$. If $Q = R = 10\sqrt2\text{ N}$, what is the magnitude of $P$ by Lami's theorem?
तीन संगामी समतलीय (concurrent coplanar) बल $P$, $Q$ और $R$ एक कण को संतुलन में रखते हैं। $Q$ और $R$ के बीच का कोण $90°$ है, तथा $R$ व $P$ के बीच और $P$ व $Q$ के बीच प्रत्येक कोण $135°$ है। यदि $Q = R = 10\sqrt2\text{ N}$ है, तो लैमी के प्रमेय (Lami's theorem) द्वारा $P$ का परिमाण क्या है?
- A. $10\sqrt2\text{ N}$
- B. $20\text{ N}$
- C. $20\sqrt2\text{ N}$
- D. $10\text{ N}$
Solution
By Lami's theorem, $\frac{P}{\sin90°}=\frac{Q}{\sin135°}$, so $P = Q\dfrac{\sin90°}{\sin135°} = 10\sqrt2 \times \dfrac{1}{\frac{\sqrt2}{2}} = 20\text{ N}$.
लैमी के प्रमेय के अनुसार, $\frac{P}{\sin90°}=\frac{Q}{\sin135°}$, इसलिए $P = Q\dfrac{\sin90°}{\sin135°} = 10\sqrt2 \times \dfrac{1}{\frac{\sqrt2}{2}} = 20\text{ N}$।
Q2. A block is placed on the horizontal floor of a truck. For the block not to slide when the truck accelerates forward at $2.5\text{ m/s}^2$ on a level road, what is the minimum coefficient of static friction required between the block and the floor? (Take $g=10\text{ m/s}^2$.)
एक गुटका एक ट्रक की क्षैतिज फर्श पर रखा है। समतल सड़क पर जब ट्रक $2.5\text{ m/s}^2$ के त्वरण से आगे बढ़ता है, तो गुटके को फिसलने से रोकने के लिए गुटके और फर्श के बीच न्यूनतम स्थैतिक घर्षण गुणांक कितना आवश्यक है? ($g=10\text{ m/s}^2$ लें।)
- A. $4$
- B. $0.4$
- C. $0.025$
- D. $0.25$
Solution
In the truck's frame, a backward pseudo-force $ma$ on the block must be balanced by friction, so $\mu_{min} \ge \frac{a}{g} = \frac{2.5}{10}=0.25$.
ट्रक के परिप्रेक्ष्य (frame) में, गुटके पर पीछे की ओर लगने वाले आभासी बल $ma$ को घर्षण द्वारा संतुलित किया जाना चाहिए, इसलिए $\mu_{min} \ge \frac{a}{g} = \frac{2.5}{10}=0.25$।
Q3. Which one of the following statements about friction is correct?
घर्षण के बारे में निम्नलिखित में से कौन-सा कथन सही है?
- A. The maximum force of static friction is independent of the normal reaction between the surfaces / अधिकतम स्थैतिक घर्षण बल, सतहों के बीच अभिलंब प्रतिक्रिया से स्वतंत्र होता है
- B. Kinetic friction increases with the area of contact between the two surfaces, for the same normal force / समान अभिलंब बल के लिए, दो सतहों के बीच संपर्क क्षेत्रफल बढ़ने पर गतिज घर्षण बढ़ता है
- C. The coefficient of kinetic friction is always greater than the coefficient of static friction for the same pair of surfaces / समान सतहों की जोड़ी के लिए, गतिज घर्षण गुणांक सदैव स्थैतिक घर्षण गुणांक से अधिक होता है
- D. At the angle of repose, the incline angle equals the angle of friction / विश्राम कोण पर, आनत तल का कोण घर्षण कोण के बराबर होता है
Solution
At the angle of repose, the incline angle equals the angle of friction, so $\tan\theta=\mu_s$; friction instead depends on the normal reaction and not on the contact area.
विश्राम कोण पर, आनत तल का कोण घर्षण कोण के बराबर होता है, इसलिए $\tan\theta=\mu_s$; इसके अलावा घर्षण अभिलंब प्रतिक्रिया (normal reaction) पर निर्भर करता है, संपर्क क्षेत्रफल पर नहीं।
Frequently asked questions
How many questions are in the CBSE Class 11 Science Physics · Ch 4: Laws of Motion?
30 questions for 30 marks, to be answered in 20 minutes.
Is there negative marking in the CBSE Class 11 Science Physics · Ch 4: Laws of Motion?
No — wrong answers are not penalised in this test.
Which topics does the CBSE Class 11 Science Physics · Ch 4: Laws of Motion cover?
Laws of Motion (30 questions).
Is the CBSE Class 11 Science Physics · Ch 4: Laws of Motion free?
It is part of the CBSE Class 11 Science Test Series 2027 — Chapter-wise + Full Tests (43 tests, ₹199). You can first try Biology · Ch 1: The Living World for free.
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