Daily Practice Problems Units and Measurement

Question 1:

A chemical reaction is described by the equation A + 2B → 3C. If the concentration of A is 0.1 mol/L and the concentration of B is 0.2 mol/L, calculate the concentration of C in mol/L. [Level: Easy]

(a) 4.5 mol/L

(b) 3.33 mol/L

(d) 0.3 mol/L

Question 2:

A student measures the length of a table using a meter stick and records it as 1.2345 meters. Determine the number of significant figures in the measurement. [Level: Moderate]

(a) 4

(b) 1

(d) 5

Question 3:

In an electric circuit, the current (I) flowing through a resistor (R) is given by the equation I = V²/R, where V is the voltage. If the dimensions of current, resistance, and voltage are [A], [Ω], and [V], respectively, determine the dimensions of the constant in the equation. [Level: Moderate]

(a) [V^-²Ω⁻¹]

(b) [V²Ω⁻¹]

(d) [V²Ω⁻²]

Question 4:

A chemical reaction is described by the equation A + B + C → D + E. The rate of the reaction is given by the equation r = k[A]²[B]³[C], where [A], [B], and [C] represent the concentrations of A, B, and C, respectively. Determine the dimensions of the rate constant k. [Level: Easy]

(A) [mol⁷/(L⁷·mol²)]

(B) [mol⁴/(L⁷·mol²)]

(D) [mol^-⁷/(L⁷·mol²)]

Question 5:

A beaker contains a solution with a concentration of 0.0208 M. Calculate the number of moles of solute present in 250 mL of the solution and express the answer with the appropriate number of significant figures. [Level: Moderate]

(A) 5

(B) 4

(D) 3

Question 6:

A chemical reaction has a rate constant of 2.3456 × 10^-4s^-1. Calculate the reaction rate after 10 minutes (600 seconds) and express the answer with the appropriate number of significant figures. [Level: Moderate]

(A) 5

(B) 3

(D) 6

Question 7:

Which of the following quantities does not have the dimension of velocity? [Level: Difficult]

(a) Speed

(b) Acceleration

(d) Surface tension

Question 8:

A physics experiment involves measuring the acceleration due to gravity g by dropping a ball from a certain height and measuring the time it takes to fall. The time is measured using a stopwatch with a precision of 0.01 s. If the measured time is 3.25 s, what is the uncertainty in the calculated value of g? [Level: Moderate]

(a) 0.006

(b) 0.008

(d) 2.567

Question 9:

The dimensional formula of surface tension is given by: [Level: Moderate]

(a)

(b)

(c)

(d)

Question 10:

The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum error in the measurement of force and length are, respectively, 4% and 2%, Find the maximum error in the measurement of pressure. [Level: Easy]

(a) 4%

(b) 8%

(d) 8.95%

Question 11:

Multiply 107.88 by 0.610 and express the result with correct number of significant figures. [Level: Moderate]

(a) 65.8068

(b) 65.807

(d) 65.8

Question 12:

The physical quantities not having same dimensions are

[Level: Moderate]

(a) torque and work

(b) momentum and Planck’s constant

(d) speed and (m₀e₀)^–1/2

Question 13:

The quantity given by [M^-1L²T^-2] can be the dimensional formula of: [Level: Moderate]

(a) Gravitational potential energy

(b) Force

(d) Work

Question 14:

Which of the following quantities is dimensionless? [Level: Moderate]

(a) Specific heat capacity

(b) Surface area

(d) Power

Question 15:

The dimensional equation for magnetic field strength is: [Level: Moderate]

(a) [M⁰L¹T^-2I^-1]

(b) [M¹L¹T^-2I^-1]

(d) [M⁰L²T^-2I^-1]

Question 16:

A body travels uniformly a distance of (13.8+0.2) m in a time (4.0+0.3)s. Find the velocity of the body within error limits and the percentage error? [Level: Moderate]

(A) 8.95

(B) 9.5

(D) 12.5

Question 17:

The density of a cube is measured by measuring its mass and the length of its side. If the maximum errors in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of the density is [Level: Moderate]

(A) 10%

(B) 105%

(D) 13%

Question 18:

Convert 1 J to erg [Level: Moderate]

(A) 10⁷ erg

(B) 10⁸ erg

(D) 10¹⁰ erg

Question 19:

The pitch of a screw gauge is 1mm and there are 100 divisions on its circular scale. When nothing is put in between its jaws, the zero of the circular scale lies 6 divisions below the reference line. When a wire is placed between the jaws, 2 linear scale divisions are clearly visible while 62 divisions on circular scale coincide with the reference line. Determine the diameter of the wire. [Level: Moderate]

(A) 2.00 mm

(B) 3.80 mm

(D) 2.68 mm

Question 20:

A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the thickness of a thin sheet of aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the 45th division coincides with the main scale line and that the zero of the main scale is barely visible. What is the thickness of the sheet, if the main scale reading is 0.5mm and the 25th division coincides with the main scale line? [Level: Easy]

(A) 0.10 mm

(B) 0.50 mm

(D) 0.80 mm

**********

Problem-solving on JEE Physics Units and Measurement NCERT Chapter 2 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic JEE Physics Units and Measurement you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in JEE Physics Units and Measurement NCERT Chapter 2, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Units and Measurement JEE Physics in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Units and Measurement JEE Physics Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Units and Measurement. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Units and Measurement JEE Physics Online Tests at LearnoHub.com.
Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Units and Measurement JEE Physics is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on JEE Physics Units and Measurement NCERT Chapter 2

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Physics Units and Measurement NCERT Chapter 2 useful.

Last but not least, to get the best hold on JEE Physics Units and Measurement NCERT Chapter 2, do not forget to check out:

Units and Measurement JEE Physics Best videos
Units and Measurement JEE Physics NCERT Solutions
JEE Physics Units and Measurement Revision notes
Units and Measurement JEE Physics DPPs, Download PDF of solutions
JEE Physics Units and Measurement Online Tests
JEE Physics Sample papers