The question asks to identify the property that does NOT show a gradual change (gradation) with increasing molecular mass within a homologous series. We need to recall the general trends of physical and chemical properties in homologous series.
Correct Option: B) Combustion
The question asks to identify the festival in Odisha that commemorates its rich maritime history and is celebrated throughout the state. We need to evaluate each option based on its cultural significance and connection to Odisha's maritime past.
Correct Option: B) Bali Yatra — This festival literally means "Voyage to Bali" and is celebrated to commemorate the ancient maritime trade and cultural links between Odisha (Kalinga) and Southeast Asian countries like Bali, Java, Sumatra, and Sri Lanka. It is a grand annual fair that highlights the glorious past of Odia seafarers (Sadhabas).
The question asks to identify the organ among the given options where cartilage is NOT present. To answer this, we need to recall the common locations of cartilage in the human body and then evaluate each option.
Correct Option: D) Kidney is the correct answer because cartilage is not present in the kidney.
The roots of the equation 2x2 − 3x − 20 = 0 are:
−4, \( \frac{-5}{2} \)
4, \( \frac{-5}{2} \)
−4, \( \frac{5}{2} \)
4, \( \frac{5}{2} \)
To find the roots of a quadratic equation of the form \(ax^2 + bx + c = 0\), we can use either factorization (splitting the middle term) or the quadratic formula. In this case, we will use the factorization method.
Identify the equation: The given quadratic equation is \(2x^2 - 3x - 20 = 0\).
Factorize the equation: We need to find two numbers whose product is \(2 \times (-20) = -40\) and whose sum is \(-3\). The numbers are \(5\) and \(-8\).
Rewrite the middle term: Split the middle term \(-3x\) using the numbers found in the previous step:
\[ 2x^2 + 5x - 8x - 20 = 0 \]Group the terms and factor: Group the terms and factor out common factors:
\[ (2x^2 + 5x) - (8x + 20) = 0 \]\[ x(2x + 5) - 4(2x + 5) = 0 \]Factor out the common binomial:
\[ (2x + 5)(x - 4) = 0 \]Solve for x: For the product of two factors to be zero, at least one of the factors must be zero.
Set the first factor to zero:
\[ 2x + 5 = 0 \]\[ 2x = -5 \]\[ x = -\frac{5}{2} \]Set the second factor to zero:
\[ x - 4 = 0 \]\[ x = 4 \]State the roots: The roots of the equation are \(4\) and \(-\frac{5}{2}\).
B) 4, \( \frac{-5}{2} \) is the correct option, as the calculated roots are \(4\) and \(-\frac{5}{2}\).
The question asks to identify the correct pair of personalities who received the Padma Shri Award in 2022 specifically in the field of Science and Engineering. This requires knowledge of the Padma Awards 2022 recipients and their respective fields.
Upon reviewing the Padma Awards 2022 list:
Therefore, the pair Sanghamitra Bandyopadhyay and Subbanna Ayyappan fits the criteria.
C) Sanghamitra Bandyopadhyay and Subbanna Ayyappan are the correct pair. Both received the Padma Shri in 2022 for their contributions to Science and Engineering.
The question asks about the nature of the image formed by the side mirror of an automobile. Side mirrors are typically convex mirrors. We need to recall the image formation properties of convex mirrors.
Correct Option: B) virtual and erect
This problem can be solved using Ohm's Law, which states the relationship between voltage (potential difference), current, and resistance in an electrical circuit. We are given the current and resistance, and we need to find the potential difference.
Ohm's Law is given by the formula:
\[ V = I \times R \]where \(V\) is the potential difference (voltage), \(I\) is the current, and \(R\) is the resistance.Correct Option: C) 200 V is the potential difference across the conductor, calculated using Ohm's Law.
The question asks to identify the Article of the Indian Constitution that is related to Gram Sabha. This requires knowledge of the specific articles pertaining to Panchayati Raj Institutions.
Correct Option: B) Article 243 A is directly related to the Gram Sabha. It states that a Gram Sabha may exercise such powers and perform such functions at the village level as the Legislature of a State may, by law, provide.
The question asks to identify the organization that supports 'Bambai Nazariya', a café in Mumbai that exclusively employs trans/non-binary individuals. This requires knowledge of NGOs and their specific initiatives related to LGBTQ+ community support in India.
Correct Option: C) The Humsafar Trust. The Humsafar Trust, based in Mumbai, is a leading NGO working for LGBTQ+ rights and health. They have been instrumental in supporting various initiatives aimed at empowering the community, including enterprises like 'Bambai Nazariya' which focus on providing employment and visibility to trans and non-binary individuals.
The question asks about the fundamental properties of magnetic field lines. We need to recall the rules governing magnetic field lines to determine which option describes an impossible scenario.
Correct Option: A) perpendicular to each other
Magnetic field lines can never be perpendicular to each other because if they were, they would have to intersect. At the point of intersection, the magnetic field would have two different directions, which is physically impossible. The tangent to a magnetic field line at any point gives the unique direction of the magnetic field at that point.