Identify the following conditions to be direct or indirect variation.
i) With the increase in speed, the distance travelled in a specific time increases.
ii) With decrease in the price, the number of items received for a specific amount decreases.
iii) With increase in the size of the pipe, the time taken to fill the tank decreases.

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Solution

i) With increase in one quantity results in the increase of the other, so this is a direct variation.
ii) With decrease in one quantity results in the decrease of the other, so this is a direct variation.
iii) With increase in one quantity results in the decrease of the other, so this is an indirect variation.

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Q. Which pair of following statements correct for temperature in metal cutting?

P. Cutting temperature increases with increasing specific heat of workpiece material.

Q. Cutting temperature decreases with increasing specific heat of workpiece material.

R. Cutting temperature decreases with increasing thermal conductivity of workpiece material.

S. Cutting temperature increases with increasing thermal conductivity of workpiece material.

Q. Assertion :The ratio of specific conductivity to the observed conductance does not depend upon the concentration of the solution taken in the conductivity cell. Reason: Specific conductivity decreases with dilution whereas observed conductance increases with dilution.

Parts (a) to (e) refer to changes in the properties of elements on moving from left to right across a period of Periodic Table. For each property, choose the correct answer.

(a) The non-metallic character of the elements :

(i) decreases, (ii) increases,

(iii) remains the same, (iv) depends on the period

(b) The electronegativity :

(i) depends on the number of valence electrons,

(ii) remains the same,

(iii) decreases,

(iv) increases.

(i) goes up and down (ii) decreases

(iii) increases (iv) remains the same

(d) The atomic size :

(i) decreases,

(ii) increases,

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(iv) sometimes increases and sometimes decreases.

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(ii) decreases and then increases,

(iii) increases,

(iv) decreases.

Q. Consider the following statements.
(i) Molar conductance of

H^{+}

is much higher than those of other ions
(ii) Equivalent conductivity and molar conductivity increase with dilution
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K^{+} < N a^{+} < L i^{+}

in water
Identify the correct statement.

Which price increases or decreases with the change in demand for the share?

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