1. A
   $\alpha = 0$
2. B
   $\alpha = \theta$
3. C
   $\alpha = 2\theta$
4. D
   $\alpha = 4\theta$

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1. A
   $v_1 = v_2$
2. B
   $\frac{1}{2}M_1v_1^2 < \frac{1}{2}M_2v_2^2$
3. C
   $M_1v_1 = M_2v_2$
4. D
   $M_1v_1 < M_2v_2$

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1. A
   Momentum of waves on the blowing jet determines the loudness of the produced note.
2. B
   Arrival time of the waves on the blowing jet determines the pitch of the produced note.
3. C
   Sound comes from a vibrating column of air inside the flute.
4. D
   Sound comes from a vibrating column of air inside as well as outside the flute.

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1. A
   a deflecting force towards north direction.
2. B
   a deflecting force towards east direction.
3. C
   a deflecting force towards west direction.
4. D
   no deflecting force.

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1. A
   Water vapour
2. B
   Oxygen
3. C
   Carbon dioxide
4. D
   Methane

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1. A
   They have wavelengths of about 1 Å.
2. B
   These can be generated by bombarding a metal target by high energy electrons.
3. C
   Due to their wavelengths being shorter, these can be used for radar systems.
4. D
   These are also used for the treatment of certain forms of cancer.

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1. A
   New Delhi
2. B
   Kathmandu
3. C
   Thimphu
4. D
   Dhaka

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1. A
   1 only
2. B
   2 only
3. C
   1 and 3 only
4. D
   1, 2 and 3

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1. A
   Madhya Pradesh
2. B
   Jharkhand
3. C
   Rajasthan
4. D
   Karnataka

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1. A
   food and beverage industry.
2. B
   iron and steel industry.
3. C
   aluminium industry.
4. D
   electrical and electronic industries.

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1. A
   Aw climate
2. B
   Cwg climate
3. C
   Amw climate
4. D
   Dfc climate

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1. A
   1, 2 and 3
2. B
   2 and 3 only
3. C
   1 only
4. D
   2 only

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1. A
   Ranikhet
2. B
   Gangtok
3. C
   Pithoragarh
4. D
   Leh

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1. A
   Skyroot
2. B
   Prarambh
3. C
   Bazoomq
4. D
   Vikram-S

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1. A
   Mawlynnong, Meghalaya
2. B
   Modhera, Gujarat
3. C
   Ziro village, Arunachal Pradesh
4. D
   Malana, Himachal Pradesh

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1. A
   Uttarakhand
2. B
   Punjab
3. C
   Gujarat
4. D
   Uttar Pradesh

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1. A
   Autotrophs
2. B
   Heterotrophs
3. C
   Parasites
4. D
   Decomposers

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1. A
   $ATP + CO_2 + Ethanol$
2. B
   $ATP + O_2 + Pyruvate$
3. C
   $ATP + CO_2 + Lactic acid$
4. D
   $ATP + O_2 + Acetaldehyde$

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1. A
   the cells swelled.
2. B
   the cells were plasmolysed.
3. C
   the cells built up turgor pressure.
4. D
   the cells size was unaffected.

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1. A
   Cell wall is made of chitin
2. B
   Filamentous mycelium is present
3. C
   Can carry out photosynthesis
4. D
   Asexual spores are produced

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1. A
   The plant body is a gametophyte.
2. B
   They are also called the amphibians of plant kingdom.
3. C
   The plant body is attached to the substratum by rhizoids.
4. D
   Specialized water-conducting tissues are present.

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1. A
   To obtain soaps which are hard on the skin
2. B
   To obtain soaps which are soft on the skin
3. C
   To obtain natural fragrance
4. D
   To make the saponification very economical

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1. A
   Iron, Sodium, Silver, Copper
2. B
   Silver, Copper, Iron, Sodium
3. C
   Sodium, Copper, Silver, Iron
4. D
   Sodium, Iron, Copper, Silver

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1. A
   Graphite is a good conductor of electricity.
2. B
   Diamond is the hardest substance known.
3. C
   Fullerene is one of the allotropes of carbon.
4. D
   Next to diamond, graphite is the second hardest known substance.

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1. A
   Ostwald's process
2. B
   Haber-Bosch process
3. C
   Electric furnace process
4. D
   Electrolysis process

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