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The acute angle which the line with direction cosines 1/√ 3, 1/√ 6, n makes with positive direction of z-axis is
The direction cosines of the line are given as: l = 1/√3, m = 1/√6, n = n The angle θ that the line makes with the positive z-axis is related to the direction cosine n by: cos θ = n To find the acute angle, we need to calculate the value of n using the condition that the sum of the squares of the diRead more
The direction cosines of the line are given as:
l = 1/√3, m = 1/√6, n = n
The angle θ that the line makes with the positive z-axis is related to the direction cosine n by:
cos θ = n
To find the acute angle, we need to calculate the value of n using the condition that the sum of the squares of the direction cosines equals 1:
l² + m² + n² = 1
Substituting the values of l and m:
(1/√3)² + (1/√6)² + n² = 1
1/3 + 1/6 + n² = 1
1/2 + n² = 1
n² = 1/2
n = 1/√2
Thus, cos θ = 1/√2, which gives: θ = π/4
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A few substances are arranged in the increasing order of forces of attraction between their particles. Which one of the following represents a correct arrangement ? (a) Water, air, wind (b) Air, sugar, oil (c) Oxygen, water, sugar (d) Salt, juice, air
(c) Oxygen, water, sugar In matter, the force of attraction between particles increases from gases to liquids to solids. Oxygen (gas) has the weakest forces, water (liquid) has moderate forces, and sugar (solid) has the strongest intermolecular forces. https://www.tiwariacademy.com/ncert-solutions/cRead more
(c) Oxygen, water, sugar
In matter, the force of attraction between particles increases from gases to liquids to solids. Oxygen (gas) has the weakest forces, water (liquid) has moderate forces, and sugar (solid) has the strongest intermolecular forces.
https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-1/
See lessThe boiling points of diethyl ether, acetone and n-butyl alcohol are 35 °C, 56 °C and 118 °C respectively. Which one of the following correctly represents their boiling points in kelvin scale? (a) 306 K, 329 K, 391 K (b) 308 K, 329 K, 392 K (c) 308 K, 329 Κ, 391 Κ (d) 329 K, 392 Κ, 308 K
(c) 308 K, 329 K, 391 K. To convert Celsius to Kelvin: K = °C + 273 Diethyl ether: 35°C + 273 = 308 K Acetone: 56°C + 273 = 329 K n-Butyl alcohol: 118°C + 273 = 391 K https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-1/
(c) 308 K, 329 K, 391 K.
To convert Celsius to Kelvin:
K = °C + 273
Diethyl ether: 35°C + 273 = 308 K
Acetone: 56°C + 273 = 329 K
n-Butyl alcohol: 118°C + 273 = 391 K
https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-1/
See lessWhat are simple machines and how do they help in daily life?
Simple machines are basic tools that make work easier by amplifying force or changing its direction. Examples include levers, inclined planes, pulleys, and wheels. They help accomplish daily tasks like lifting heavy objects, opening lids, and cutting materials. These machines are found in common objRead more
Simple machines are basic tools that make work easier by amplifying force or changing its direction. Examples include levers, inclined planes, pulleys, and wheels. They help accomplish daily tasks like lifting heavy objects, opening lids, and cutting materials. These machines are found in common objects like scissors, ramps, and doorknobs. By reducing physical effort, simple machines have been fundamental in construction, transportation, and daily household activities.
See lessList examples of simple machines used in ancient architecture. How were they utilized?
In ancient architecture, tools like inclined planes, levers, and pulleys played a vital role. Workers used inclined planes to roll heavy stone blocks upward, pulleys to lift these blocks, and levers for precise placement during temple construction. These simple machines minimized physical effort andRead more
In ancient architecture, tools like inclined planes, levers, and pulleys played a vital role. Workers used inclined planes to roll heavy stone blocks upward, pulleys to lift these blocks, and levers for precise placement during temple construction. These simple machines minimized physical effort and enhanced efficiency, making it possible to create massive structures like pyramids and stone temples with limited technology but exceptional engineering skills.
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