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5 public questions tagged with this topic.

A force F\=7i^+3j^N acts at r\=−2i^+1j^m. What is the magnitude of the torque about the origin?

τ = r×F = |i^j^k^−210730| = k^((−2)×3−1×7) = k^(−6−7) = −13k^Nm. Magnitude = 13Nm. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 13 Nm. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

Two particles of masses 3kg and 7kg are at (1,4) and (9,2) respectively. What is the distance of their center of mass fr

X = (3×1)+(7×9)3+7 = 3+6310 = 6.6. Y = (3×4)+(7×2)3+7 = 12+1410 = 2.6. Distance = (6.6)2+(2.6)2 = 43.56+6.76 = 50.32≈7.09m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 7.09 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

Two particles of masses 8kg and 2kg are at (0,5) and (10,0) respectively. What is the distance of their center of mass f

X = (8×0)+(2×10)8+2 = 2010 = 2. Y = (8×5)+(2×0)8+2 = 4010 = 4. Distance = (2)2+(4)2 = 4+16 = 20≈4.47m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.47 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

The fertilization envelope in sea urchins originates from:

Unfertilized sea urchin egg is surrounded by vitelline membrane, thin extracellular coat containing sperm receptors, overlaid by thick jelly coat. Upon calcium-triggered cortical granule exocytosis, structural proteins and enzymes detach vitelline membrane and harden it via cross-linking by transglutaminase and ovoperoxidase using hydrogen peroxide from respiratory burst. Elevated hardened coat becomes fertilization envelope. Plasma membrane remains beneath, zona pellucida is mammalian equivalent not present in urchins, egg jelly dissolves. Thus fertilization envelope originates directly from modified vitelline membrane repurposed as protective barrier essential for embryonic development.

Ref: Alberts, Molecular Biology of the Cell, Chapter: Fertilization envelope derived from vitelline membrane sea urchin.

Which river originates from Deccan Plateau?

Rivers originating from Deccan Plateau are primarily peninsular east-flowing rain-fed systems sourced in Western Ghats escarpment forming western boundary of Deccan. Godavari originates near Trimbakeshwar Nashik, Krishna at Mahabaleshwar, Cauvery at Talakaveri Brahmagiri, all draining basalt plateau into Bay of Bengal forming fertile deltas. These contrast with Himalayan rivers Ganga, Yamuna, Brahmaputra originating from Himalayan glaciers perennial. Deccan rivers ephemeral dependent on monsoon 600-1500 mm rainfall, essential for irrigation agriculture in semi-arid plateau despite seasonal flow variation. Such details are high-yield for NEET and CUET as they link morphological classification with modern molecular phylogeny insights.

Ref: NCERT Drainage System Deccan Rivers Origin Western Ghats; Godavari Basin Map Western Ghats Source