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A piece of wire of resistance R is cut into three equal parts. These parts are then connected in parallel. If the equivalent resistance of this parallel combination is R1, what is the value of the ratio R1 : R?
A wire of total resistance R is divided into three equal parts, so each part has resistance R/3. When these three equal parts are connected in parallel, the reciprocal of the equivalent resistance is the sum of their reciprocals. Hence, 1/R₁ = 3 × (1/(R/3)) = 9/R. Therefore, the equivalent resistancRead more
A wire of total resistance R is divided into three equal parts, so each part has resistance R/3. When these three equal parts are connected in parallel, the reciprocal of the equivalent resistance is the sum of their reciprocals. Hence,
See less1/R₁ = 3 × (1/(R/3)) = 9/R.
Therefore, the equivalent resistance R₁ = R/9. The ratio of the equivalent resistance to the original resistance is R₁ : R = 1 : 9, showing that resistance decreases nine times.
Assertion (A): Probability of survival of an organism produced through sexual reproduction is more than that of organism produced through asexual mode. Reason (R): Variations provide advantages to individuals for survival.
In sexual reproduction, offspring inherit genes from both parents, creating unique combinations. This increases genetic diversity and chances of adaptability to changing environments. Variations often provide survival benefits, making sexual reproduction more favorable than asexual reproduction. ThuRead more
In sexual reproduction, offspring inherit genes from both parents, creating unique combinations. This increases genetic diversity and chances of adaptability to changing environments. Variations often provide survival benefits, making sexual reproduction more favorable than asexual reproduction. Thus, both assertion and reason are true, and the reason correctly explains the assertion. The correct option is A.
See lessAssertion (A): A compass needle is placed near a current carrying wire. The deflection of the compass needle decreases when the magnitude of the current in the wire is increased. Reason (R): The strength of a magnetic field at a point near the conductor increases on increasing the current.
A current carrying conductor produces a magnetic field around it. When the magnitude of current increases, the strength of the magnetic field also increases. This results in greater deflection of the compass needle. However, the assertion wrongly claims that deflection decreases, while the reason isRead more
A current carrying conductor produces a magnetic field around it. When the magnitude of current increases, the strength of the magnetic field also increases. This results in greater deflection of the compass needle. However, the assertion wrongly claims that deflection decreases, while the reason is scientifically correct. Thus, the correct answer is D. Assertion is false but Reason is true.
See lessAssertion (A): Biodegradable substances result in the formation of compost and natural replenishment. Reason (R): It is due to breakdown of complex inorganic substances into simple organic substances.
Biodegradable substances such as kitchen waste, dead plants, or paper break down naturally by microbes into simpler organic matter. This organic material turns into compost, enriching the soil. The assertion is correct, but the reason wrongly states "inorganic substances" instead of "organic substanRead more
Biodegradable substances such as kitchen waste, dead plants, or paper break down naturally by microbes into simpler organic matter. This organic material turns into compost, enriching the soil. The assertion is correct, but the reason wrongly states “inorganic substances” instead of “organic substances.” Hence, the correct option is C. Assertion true but Reason false.
See lessDil. HCl is added to Zn granules. How will you prove that chemical change has taken place here? Support your response with two arguments.
When dilute hydrochloric acid reacts with zinc granules, effervescence occurs due to the release of hydrogen gas, which can be tested by a pop sound. Additionally, zinc chloride solution is formed, different from the original reactants. The formation of new substances and energy release confirm thatRead more
When dilute hydrochloric acid reacts with zinc granules, effervescence occurs due to the release of hydrogen gas, which can be tested by a pop sound. Additionally, zinc chloride solution is formed, different from the original reactants. The formation of new substances and energy release confirm that a chemical change has occurred, supported by both visible gas evolution and compound formation.
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