KIITEE problems

2328 problems for KIITEE practice, in Physics, Chemistry, Mathematics and Biology, each with a worked solution. Try each one on paper first, then check your answer.

All SubjectsPhysicsChemistryMathematicsBiologyPython ProgrammingStatistics & Data Science

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1.

An LC circuit has L = 0.50 H, C = 20 µF and a resistance of 2.0 Ω… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

2.

Two complexes of the same metal ion form at 298 K… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

3.

A power cable hangs between two poles of equal height, 30 m apart… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

4.

In a hospital laboratory in Cairo, a machine measures the DNA of 10000 cells of a culture… New

High School (11–12) · Cell Cycle and Cell DivisionA-Level, AP, AP EAPCET, BCECE, GUJCET, IB, JCECE, JKCET, KCET, KIITEE, LPUNEST, MHT-CET, OJEE, SRMJEEE, TS EAPCET, VITEEEStemPy Lab

Hard

5.

A capacitor of 12 µF is charged to 30 V… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

6.

Four aqua complexes are [Sc(H₂O)₆]³⁺, [Zn(H₂O)₆]²⁺, [Cr(H₂O)₆]³⁺ and [Co(H₂O)₆]²⁺… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

7.

A landscape gardener lays a curved border of stones along the graph of y = x²/4 - (ln x)/2, from x… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

8.

In a laboratory in Seoul, a stem cell divides every 20 h, and every new cell does the same… New

High School (11–12) · Cell Cycle and Cell DivisionA-Level, AP, AP EAPCET, BCECE, GUJCET, IB, JCECE, JKCET, KCET, KIITEE, LPUNEST, MHT-CET, OJEE, SRMJEEE, TS EAPCET, VITEEEStemPy Lab

Medium

9.

A line has a total resistance of 12 Ω. At the sending end the voltage is 33 kV and the current is… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

10.

A d² ion forms an octahedral complex with Δo = 270 kJ/mol… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

11.

A rain gauge in a hill town records the rainfall intensity R(t) = 12te^(-t/2) millimetres per hour… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

12.

Ayesha counts 250 cells in a root tip. She finds 20 in prophase, 6 in metaphase, 3 in anaphase and… New

High School (11–12) · Cell Cycle and Cell DivisionA-Level, AP, AP EAPCET, BCECE, GUJCET, IB, JCECE, JKCET, KCET, KIITEE, LPUNEST, MHT-CET, OJEE, SRMJEEE, TS EAPCET, VITEEEStemPy Lab

Medium

13.

A power station generates 1.0 MW at 10 kV… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

14.

The blue complex [CoCl₄]²⁻ is tetrahedral… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

15.

A warehouse robot moves along a straight rail… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

16.

Drug X stops the copying of DNA. Drug Y stops the spindle from forming… New

High School (11–12) · Cell Cycle and Cell DivisionA-Level, AP, AP EAPCET, BCECE, GUJCET, IB, JCECE, JKCET, KCET, KIITEE, LPUNEST, MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, VITEEEStemPy Lab

Hard

17.

A line of resistance 5.0 Ω carries 240 kW at 6.0 kV, with power factor 1… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

18.

An octahedral complex of a d⁴ ion has Δo = 130 kJ/mol with a weak ligand and Δo = 310 kJ/mol with a… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

19.

A kettle on a mains supply draws the power p(t) = 1800 sin²(100π t) watts, with t in seconds… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

20.

A tumour starts from one cell. Its cells double in number every 2 days, and none is lost… New

High School (11–12) · Cell Cycle and Cell DivisionA-Level, AP, AP EAPCET, BCECE, GUJCET, IB, JCECE, JKCET, KCET, KIITEE, LPUNEST, MHT-CET, OJEE, SRMJEEE, TS EAPCET, VITEEEStemPy Lab

Medium

21.

The primary coil of a transformer has a resistance of 3.0 Ω and, at 50 Hz, an inductive reactance… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Medium

22.

Two complexes of Fe²⁺ each have six identical ligands around the ion… New

High School (11–12) · Bonding: Valence Bond and Crystal Field TheoryA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

23.

A potter makes a bowl by turning the curve x² = 8y about the y-axis… New

High School (11–12) · Application of IntegralsA-Level, AEEE (Amrita), AMUEEE, AP, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard

24.

In classic experiments, scientists fused two animal cells in culture, so that two nuclei lay in one… New

High School (11–12) · Cell Cycle and Cell DivisionA-Level, AP, AP EAPCET, BCECE, GUJCET, IB, JCECE, JKCET, KCET, KIITEE, LPUNEST, MHT-CET, NEET, OJEE, SRMJEEE, TS EAPCET, VITEEEStemPy Lab

Hard

25.

A step-down transformer is 94 % efficient at full load… New

High School (11–12) · Alternating CurrentA-Level, AEEE (Amrita), AMUEEE, AP EAPCET, BCECE, COMEDK UGET, CUET UG, GUJCET, IB, JCECE, JKCET, KCET, KEAM, KIITEE, LPUNEST, MET (Manipal), MHT-CET, OJEE, SRMJEEE, TS EAPCET, UPESEAT, VITEEEStemPy Lab

Hard